Kazimir Majorinc http://kazimirmajorinc.blogspot.com http://instprog.com Lot of Reduced Lambda Expressions ------ 75001/6271734. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.(z z)))) REDUCED to normal form. ------ 75002/6271761. ------ 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. ------ 75003/6271815. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 75004/6271842. ------ 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)))) 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. ------ 75005/6271869. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 75006/6271878. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^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. ------ 75007/6272040. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 75008/6272067. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 75009/6272094. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 75010/6272130. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 75011/6272157. ------ 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. ------ 75012/6272184. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a (b a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a (b a))) 5. ==[ beta ]==> ((^y.a)(a (b a))) 6. ==[ alpha ]==> ((^x.a)(a (b a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 75013/6272211. ------ 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. ------ 75014/6272238. ------ 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)(^x.x))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 75015/6272427. ------ 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. ------ 75016/6272463. ------ 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))) 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. ------ 75017/6272472. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 75018/6272499. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 75019/6272553. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.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))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 75020/6272634. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.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. ------ 75021/6272688. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)((a a)(^x1.x1)))) 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. ------ 75022/6272715. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(^a.a))(^a.a))) 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. ------ 75023/6272769. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.a))) 9. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 11. ==[ beta ]==> ((^y.b)(^z.a)) 12. ==[ alpha ]==> ((^x.b)(^y.a)) 13. ==[ beta ]==> b REDUCED to normal form. ------ 75024/6272850. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 75025/6272949. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 75026/6272976. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(a a)) b)) 3. ==[ beta ]==> ((a ((a a) a))((^y.(a a)) b)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(a a)) b)) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 75027/6273003. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.b) c)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b) c)) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 75028/6273075. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 75029/6273174. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 75030/6273309. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^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. ------ 75031/6273390. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 75032/6273417. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^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. ------ 75033/6273552. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) 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. ------ 75034/6273561. ------ 1. ==[ start ]==> (((a b)(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c ((a a) a))) REDUCED to normal form. ------ 75035/6273588. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 75036/6273615. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 75037/6273651. ------ 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. ------ 75038/6273840. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a b)(^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 75039/6273867. ------ 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. ------ 75040/6273894. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a (b a))(^y.a)) 6. ==[ alpha ]==> ((a (b a))(^x.a)) REDUCED to normal form. ------ 75041/6273984. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))((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. ------ 75042/6274065. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 75043/6274173. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))(^c.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. ------ 75044/6274200. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^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. ------ 75045/6274236. ------ 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. ------ 75046/6274263. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.b))(a (^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.y))) REDUCED to normal form. ------ 75047/6274317. ------ 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. ------ 75048/6274335. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (^b.(^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. ------ 75049/6274344. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 75050/6274371. ------ 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. ------ 75051/6274443. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(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. ------ 75052/6274461. ------ 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. ------ 75053/6274488. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 75054/6274515. ------ 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 (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^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)))) REDUCED to normal form. ------ 75055/6274542. ------ 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. ------ 75056/6274569. ------ 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. ------ 75057/6274596. ------ 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. ------ 75058/6274623. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a)) c)) REDUCED to normal form. ------ 75059/6274722. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 75060/6274821. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (^z.(z z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (^z.(z z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (^z.(z z)))) 5. ==[ beta ]==> ((a a)(c (^z.(z z)))) 6. ==[ alpha ]==> ((a a)(c (^x.(x x)))) REDUCED to normal form. ------ 75061/6274902. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^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. ------ 75062/6275010. ------ 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))((^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. ------ 75063/6275037. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^a.a))(^a.a))) 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. ------ 75064/6275064. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 75065/6275118. ------ 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 y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(z z)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 75066/6275127. ------ 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. ------ 75067/6275154. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 75068/6275208. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 75069/6275235. ------ 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 (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 75070/6275262. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(a (a a)))) REDUCED to normal form. ------ 75071/6275307. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 75072/6275334. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 75073/6275352. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 75074/6275379. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 75075/6275406. ------ 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. ------ 75076/6275433. ------ 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. ------ 75077/6275460. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z)) c)) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z)) c)) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 75078/6275514. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y)) a)) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 75079/6275541. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.a) b)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.a) b)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.a) b)) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 75080/6275622. ------ 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 (^x.(^y.y)))(a a))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (^z.z))) REDUCED to normal form. ------ 75081/6275649. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) REDUCED to normal form. ------ 75082/6275658. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^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) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75083/6275685. ------ 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)((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)((^x2.x2) 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. ------ 75084/6275820. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (^a.(^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. ------ 75085/6275928. ------ 1. ==[ start ]==> (((^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))) 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. ------ 75086/6275937. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (a a))) REDUCED to normal form. ------ 75087/6275964. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (a (^a.a)))) 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. ------ 75088/6275982. ------ 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. ------ 75089/6275991. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 75090/6276009. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 75091/6276018. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b a)) REDUCED to normal form. ------ 75092/6276063. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(^x1.x1))) 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. ------ 75093/6276099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(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 a) REDUCED to normal form. ------ 75094/6277488. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.(y (^z.(^x1.x1))))(^y.(y (^z.(^x1.x1)))))(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(x (^y.(^z.z))))(^x1.(x1 (^y1.(^z1.z1)))))(^x2.(x2 (^y2.(^z2.z2))))) 5. ==[ beta ]==> (((^x1.(x1 (^y1.(^z1.z1))))(^y.(^z.z)))(^x2.(x2 (^y2.(^z2.z2))))) 6. ==[ alpha ]==> (((^x.(x (^y.(^z.z))))(^x1.(^y1.y1)))(^z1.(z1 (^x2.(^y2.y2))))) 7. ==[ beta ]==> (((^x1.(^y1.y1))(^y.(^z.z)))(^z1.(z1 (^x2.(^y2.y2))))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 9. ==[ beta ]==> ((^y.y)(^y1.(y1 (^z1.(^x2.x2))))) 10. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 11. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 12. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 75095/6280863. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((^x1.((x1 x1) x1))(^y.(^z.z))) 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)(^y1.(^z1.z1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75096/6282234. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 75097/6282258. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75098/6282339. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75099/6282378. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(^y.y)) 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. ------ 75100/6282702. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 75101/6282744. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 75102/6282843. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)((^y.y)(^z.z)))(((a b)((^y.y)(^z.z)))((a b)((^y.y)(^z.z))))) 4. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a b)((^z.z)(^x1.x1)))((a b)((^y1.y1)(^z1.z1))))) 5. ==[ beta ]==> (((a b)(^y.y))(((a b)((^z.z)(^x1.x1)))((a b)((^y1.y1)(^z1.z1))))) 6. ==[ alpha ]==> (((a b)(^x.x))(((a b)((^y.y)(^z.z)))((a b)((^x1.x1)(^y1.y1))))) 7. ==[ beta ]==> (((a b)(^x.x))(((a b)(^z.z))((a b)((^x1.x1)(^y1.y1))))) 8. ==[ alpha ]==> (((a b)(^x.x))(((a b)(^y.y))((a b)((^z.z)(^x1.x1))))) 9. ==[ beta ]==> (((a b)(^x.x))(((a b)(^y.y))((a b)(^x1.x1)))) 10. ==[ alpha ]==> (((a b)(^x.x))(((a b)(^y.y))((a b)(^z.z)))) REDUCED to normal form. ------ 75103/6283026. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(^b.b))) 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. ------ 75104/6283068. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b a)(^a.(^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. ------ 75105/6283323. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (a (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 75106/6283626. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a (^y.(^z.z))))(a (a (^y.(^z.z)))))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a (a (^x.(^y.y))))(a (a (^z.(^x1.x1)))))(a (a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 75107/6283629. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 75108/6283917. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75109/6283959. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a))(^a.(^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. ------ 75110/6284526. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a)) c)) 3. ==[ beta ]==> (^y.(((^z.(a a)) c)((^z.(a a)) c))) 4. ==[ alpha ]==> (^x.(((^y.(a a)) c)((^z.(a a)) c))) 5. ==[ beta ]==> (^x.((a a)((^z.(a a)) c))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a)) c))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 75111/6284709. ------ 1. ==[ start ]==> (((a b)(a a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 75112/6284970. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 75113/6285222. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 75114/6285408. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((((a (^z.z))(a b))((a (^z.z))(a b)))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(a b))((a (^y.y))(a b)))(^z.z)) REDUCED to normal form. ------ 75115/6285888. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 75116/6286086. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(a b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(a b))) 3. ==[ beta ]==> (((a b) a)(^y.(a b))) 4. ==[ alpha ]==> (((a b) a)(^x.(a b))) REDUCED to normal form. ------ 75117/6286671. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.b))) REDUCED to normal form. ------ 75118/6286713. ------ 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))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 75119/6286995. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 75120/6287001. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a ((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. ------ 75121/6287004. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((z z) z))) REDUCED to normal form. ------ 75122/6287292. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 75123/6287427. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 75124/6287604. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75125/6287787. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 75126/6287886. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 75127/6287919. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75128/6288237. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(^a.(^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. ------ 75129/6288282. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.y1)) 3. ==[ beta ]==> ((^y.y)(^y1.y1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75130/6288291. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 75131/6288372. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 75132/6288402. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 75133/6288411. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 75134/6288438. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 75135/6288465. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(b a))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 75136/6288483. ------ 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))))) REDUCED to normal form. ------ 75137/6288492. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^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. ------ 75138/6288519. ------ 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. ------ 75139/6288537. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^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 ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75140/6288546. ------ 1. ==[ start ]==> (((a a) b)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 75141/6288564. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((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. ------ 75142/6288573. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.(^a.a)))(^a.(^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. ------ 75143/6288591. ------ 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)) REDUCED to normal form. ------ 75144/6288681. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 75145/6288762. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 75146/6288816. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^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. ------ 75147/6288843. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 75148/6288888. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 75149/6288906. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 75150/6288933. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 75151/6288960. ------ 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. ------ 75152/6288987. ------ 1. ==[ start ]==> ((a (a (a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a b)((^x.x)(^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. ------ 75153/6289140. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 75154/6289167. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (^b.b))) 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))) REDUCED to normal form. ------ 75155/6289185. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(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))) REDUCED to normal form. ------ 75156/6289194. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.(^x1.x1)))(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. ------ 75157/6289212. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 75158/6289302. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 75159/6289347. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75160/6289374. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 75161/6289437. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^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. ------ 75162/6289464. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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))))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 75163/6289482. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1))) 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) REDUCED to normal form. ------ 75164/6289491. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 75165/6289509. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((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. ------ 75166/6289545. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a))(^b.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. ------ 75167/6289572. ------ 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 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 75168/6289599. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.(^z1.z1)))) 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. ------ 75169/6289743. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (b a))) 3. ==[ beta ]==> (((^y.y)(a a))(b (b a))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (b a))) 5. ==[ beta ]==> ((a a)(b (b a))) REDUCED to normal form. ------ 75170/6289770. ------ 1. ==[ start ]==> ((a ((a a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 75171/6290058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75172/6290103. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 75173/6290274. ------ 1. ==[ start ]==> (((^a.b) a)((^b.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. ------ 75174/6290292. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75175/6290373. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z)) b)) IRREDUCIBLE: cycle. ------ 75176/6290436. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 75177/6290463. ------ 1. ==[ start ]==> (((a b) a)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 75178/6290490. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 75179/6290544. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 75180/6290643. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (b ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 75181/6290670. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a)) c)) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 75182/6290688. ------ 1. ==[ start ]==> (((a a)(a b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))((a b)((^x.x) a))) 3. ==[ beta ]==> (((a a)(a b))((a b) a)) REDUCED to normal form. ------ 75183/6290715. ------ 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. ------ 75184/6290742. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 11. ==[ beta ]==> ((a (^x.x))(^z.z)) 12. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 75185/6290769. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 75186/6290796. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(a b))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(a b))) 7. ==[ beta ]==> (a (((^y.y) a)(a b))) 8. ==[ alpha ]==> (a (((^x.x) a)(a b))) 9. ==[ beta ]==> (a (a (a b))) REDUCED to normal form. ------ 75187/6290823. ------ 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)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 75188/6290841. ------ 1. ==[ start ]==> (((^a.b) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 75189/6290850. ------ 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. ------ 75190/6290886. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 75191/6290913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a))(^a.(^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. ------ 75192/6290967. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)(^y.(y y))) 8. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 75193/6291048. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 75194/6291057. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(a b))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(a b))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 75195/6291084. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^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. ------ 75196/6291111. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 75197/6291129. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((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. ------ 75198/6291138. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(^a.a))(^a.a))) 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. ------ 75199/6291183. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a b) c)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b) c)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b) c)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b) c)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b) c)) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b) c)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b) c)) 9. ==[ beta ]==> ((^y.y)((a b) c)) 10. ==[ alpha ]==> ((^x.x)((a b) c)) 11. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 75200/6291192. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 75201/6291246. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^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. ------ 75202/6291273. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 75203/6291300. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 75204/6291336. ------ 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. ------ 75205/6291363. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 75206/6291390. ------ 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. ------ 75207/6291417. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 75208/6291444. ------ 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.z) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) 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. ------ 75209/6291471. ------ 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)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^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)))) 7. ==[ beta ]==> ((((a a) a) a)(a (a a))) REDUCED to normal form. ------ 75210/6291498. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 75211/6291525. ------ 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. ------ 75212/6291552. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 75213/6291723. ------ 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 a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 75214/6291732. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) c)(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b) c)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a b) c)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a b) c)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a b) c)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a b) c)(^y.y)) 10. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 75215/6291759. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.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. ------ 75216/6291786. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 75217/6291804. ------ 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)))) REDUCED to normal form. ------ 75218/6291831. ------ 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)(((^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. ------ 75219/6291840. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 75220/6291867. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 75221/6291921. ------ 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.(^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. ------ 75222/6291948. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 75223/6291975. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 75224/6292002. ------ 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.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. ------ 75225/6292029. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 75226/6292065. ------ 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. ------ 75227/6292092. ------ 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. ------ 75228/6292119. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 75229/6292146. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 75230/6292173. ------ 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)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 11. ==[ beta ]==> (a ((^y.y)(^z.z))) 12. ==[ alpha ]==> (a ((^x.x)(^y.y))) 13. ==[ beta ]==> (a (^y.y)) 14. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 75231/6292200. ------ 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. ------ 75232/6292227. ------ 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. ------ 75233/6292398. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (b ((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 75234/6292479. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 75235/6292542. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 75236/6292668. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a) b)) 3. ==[ beta ]==> (((a b)(a b))((^y.a) b)) 4. ==[ alpha ]==> (((a b)(a b))((^x.a) b)) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 75237/6292758. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 75238/6292785. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (^z.a))) 3. ==[ beta ]==> (((a a)(^y.a))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.a))) REDUCED to normal form. ------ 75239/6292812. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.b))) REDUCED to normal form. ------ 75240/6292857. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 75241/6293145. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a ((a a) a))) REDUCED to normal form. ------ 75242/6293316. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.z1))) 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. ------ 75243/6293424. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)(^b.(^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. ------ 75244/6293433. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 75245/6293451. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(^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. ------ 75246/6293460. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^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. ------ 75247/6293478. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 75248/6293541. ------ 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 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. ------ 75249/6293568. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 75250/6293613. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (b ((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (b ((^x.(x x)) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 75251/6293676. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (^z.(z z)))) REDUCED to normal form. ------ 75252/6293721. ------ 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))((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. ------ 75253/6293730. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a)(a a))) REDUCED to normal form. ------ 75254/6293748. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 75255/6293874. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a b))(c (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 75256/6293901. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(b ((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b a)) REDUCED to normal form. ------ 75257/6293928. ------ 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)(^y.y))(a (a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 75258/6293955. ------ 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. ------ 75259/6293982. ------ 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))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 75260/6294027. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 75261/6294063. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c b)) 2. ==[ alpha ]==> ((a ((^x.x) b))(c b)) 3. ==[ beta ]==> ((a b)(c b)) REDUCED to normal form. ------ 75262/6294072. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 75263/6294099. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a)(^z1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^z1.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. ------ 75264/6294234. ------ 1. ==[ start ]==> (((^a.b)(^c.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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 75265/6294342. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 75266/6294351. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^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. ------ 75267/6294378. ------ 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)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 75268/6294396. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^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. ------ 75269/6294405. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 75270/6294423. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.y1) b)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) 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. ------ 75271/6294432. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 75272/6294477. ------ 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)(^y.y)))((a a) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a) a)) REDUCED to normal form. ------ 75273/6294513. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 75274/6294669. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.(x (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.z)) 5. ==[ beta ]==> ((^z.z)(^y.y)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75275/6295911. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(^z.(^x1.(^y1.y1))))(^y.(^z.(^x1.(^y1.y1)))))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2)))))(^z2.(^x3.(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^z2.(^x3.(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75276/6299286. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^x1.(^y1.a))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 75277/6300657. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 75278/6300708. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(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. ------ 75279/6300735. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 75280/6300816. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((^z.z)((^x1.x1) b))(^y.y)) 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. ------ 75281/6300819. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 75282/6301176. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 75283/6302058. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y)(^z.(^x1.(^y1.y1))))((^y.y)(^z.(^x1.(^y1.y1)))))((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.(^y2.y2)))))((^z2.z2)(^x3.(^y3.(^z3.z3))))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2)))))((^z2.z2)(^x3.(^y3.(^z3.z3))))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2)))))((^y2.y2)(^z2.(^x3.(^y3.y3))))) 7. ==[ beta ]==> ((^y.(^z.z))((^y2.y2)(^z2.(^x3.(^y3.y3))))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75284/6302061. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 75285/6302571. ------ 1. ==[ start ]==> ((^a.(a b))((^b.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. ------ 75286/6302958. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((((^z.z)(a a))(a (^x1.x1)))(((^z.z)(a a))(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a))(a (^z.z)))(((^x1.x1)(a a))(a (^y1.y1))))) 5. ==[ beta ]==> (^x.(((a a)(a (^z.z)))(((^x1.x1)(a a))(a (^y1.y1))))) 6. ==[ alpha ]==> (^x.(((a a)(a (^y.y)))(((^z.z)(a a))(a (^x1.x1))))) 7. ==[ beta ]==> (^x.(((a a)(a (^y.y)))((a a)(a (^x1.x1))))) 8. ==[ alpha ]==> (^x.(((a a)(a (^y.y)))((a a)(a (^z.z))))) REDUCED to normal form. ------ 75287/6303402. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 75288/6303654. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 75289/6303879. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 75290/6304545. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 75291/6304596. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(a (^z.z)))) 3. ==[ eta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 75292/6305274. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((a a) a))) 5. ==[ beta ]==> (((a a) a)(^y.((a a) a))) 6. ==[ alpha ]==> (((a a) a)(^x.((a a) a))) REDUCED to normal form. ------ 75293/6305436. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.a))) REDUCED to normal form. ------ 75294/6305445. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.((y1 y1) y1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.((y1 y1) y1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((x1 x1) x1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75295/6306111. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 75296/6306219. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 75297/6306327. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 75298/6306351. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75299/6306669. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.b)) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.b)) 3. ==[ beta ]==> ((b a)(^y.b)) 4. ==[ alpha ]==> ((b a)(^x.b)) REDUCED to normal form. ------ 75300/6306687. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(a (^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. ------ 75301/6306723. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 75302/6306768. ------ 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))((a a)(^y.y)))(^z.b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.b)) REDUCED to normal form. ------ 75303/6306804. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^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. ------ 75304/6306852. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (a ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 75305/6306861. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 75306/6306888. ------ 1. ==[ start ]==> ((a b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 75307/6306933. ------ 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))))) REDUCED to normal form. ------ 75308/6306942. ------ 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))))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 75309/6306960. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)(^b.b))) 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. ------ 75310/6306969. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) b)) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 75311/6306987. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) b) a)) 2. ==[ alpha ]==> (((a a) b)(((^x.x) b) a)) 3. ==[ beta ]==> (((a a) b)(b a)) REDUCED to normal form. ------ 75312/6307014. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 75313/6307041. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a) c)) REDUCED to normal form. ------ 75314/6307104. ------ 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. ------ 75315/6307131. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 75316/6307275. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (a (^a.(^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. ------ 75317/6307311. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^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. ------ 75318/6307329. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 75319/6307437. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)((^y.y)(^z.z)))((a b)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a b)(^y.y))((a b)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a b)(^x.x))((a b)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a b)(^x.x))((a b)(^z.z))) 10. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 75320/6307464. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 75321/6307518. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))((^z.z)(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. ------ 75322/6307545. ------ 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)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((^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. ------ 75323/6307572. ------ 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)((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. ------ 75324/6307635. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 75325/6307725. ------ 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. ------ 75326/6307743. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 75327/6307752. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 75328/6307905. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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. ------ 75329/6307932. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 75330/6307959. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a) b)) REDUCED to normal form. ------ 75331/6307986. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z)) c)) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z)) c)) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 75332/6308103. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))(^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. ------ 75333/6308130. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(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. ------ 75334/6308157. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.a)(^c.(^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. ------ 75335/6308211. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 75336/6308247. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 75337/6308301. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> (a (((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> (a (((^x.x)(a a))((^y.y) a))) 7. ==[ beta ]==> (a ((a a)((^y.y) a))) 8. ==[ alpha ]==> (a ((a a)((^x.x) a))) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 75338/6308382. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^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. ------ 75339/6308409. ------ 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. ------ 75340/6308463. ------ 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.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)((a (^y.y))((a a)(^z.z)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 75341/6308526. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 75342/6308589. ------ 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.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 75343/6308616. ------ 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. ------ 75344/6308670. ------ 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.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 75345/6308697. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(a b))) 3. ==[ beta ]==> ((((a a) a)(a a))((a b)(a b))) REDUCED to normal form. ------ 75346/6308715. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^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. ------ 75347/6308724. ------ 1. ==[ start ]==> ((a (a b))((^b.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. ------ 75348/6309084. ------ 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)(^y.y))(a a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 75349/6309093. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^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. ------ 75350/6309111. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 75351/6309291. ------ 1. ==[ start ]==> (((a b)(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 75352/6309498. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a b) b)(a (^y.b))) 4. ==[ alpha ]==> (((a b) b)(a (^x.b))) REDUCED to normal form. ------ 75353/6309525. ------ 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)))) REDUCED to normal form. ------ 75354/6309552. ------ 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. ------ 75355/6309579. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 75356/6309633. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 75357/6309777. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^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. ------ 75358/6309804. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 75359/6310029. ------ 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.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. ------ 75360/6310173. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 75361/6310200. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 75362/6310227. ------ 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. ------ 75363/6310281. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a) a)) REDUCED to normal form. ------ 75364/6310308. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a b) b)) 3. ==[ beta ]==> ((a (^y.b))((a b) b)) 4. ==[ alpha ]==> ((a (^x.b))((a b) b)) REDUCED to normal form. ------ 75365/6310668. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (^y.b))) 3. ==[ beta ]==> (((a b) a)(b (^y.b))) 4. ==[ alpha ]==> (((a b) a)(b (^x.b))) REDUCED to normal form. ------ 75366/6310695. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 75367/6310722. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.b)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 75368/6310749. ------ 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) REDUCED to normal form. ------ 75369/6311028. ------ 1. ==[ start ]==> (((^a.a)(b a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b a)(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b a)(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b a)(c (^y.y))) 6. ==[ alpha ]==> ((b a)(c (^x.x))) REDUCED to normal form. ------ 75370/6311055. ------ 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. ------ 75371/6311091. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.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)) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 75372/6311109. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a) a)(a a))) 3. ==[ beta ]==> (((a b)(a b))(((a a) a)(a a))) REDUCED to normal form. ------ 75373/6311118. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a) b)) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 75374/6311190. ------ 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. ------ 75375/6311316. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^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. ------ 75376/6311343. ------ 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 z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 75377/6311370. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a (a a))((^y.a)(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(a (a a)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 75378/6311397. ------ 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. ------ 75379/6311424. ------ 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))) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 75380/6311478. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^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. ------ 75381/6311505. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.a))) 7. ==[ beta ]==> (((a a) a)((^y.a)(^y.a))) 8. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 9. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 75382/6311532. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 75383/6311595. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a ((a a) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a ((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((a a) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75384/6311676. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((a a)(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a a)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 75385/6311874. ------ 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. ------ 75386/6311901. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 75387/6312054. ------ 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 ((a (a a))(a a))) REDUCED to normal form. ------ 75388/6312063. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 75389/6312090. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a) c)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a) c)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a) c)) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 75390/6312171. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 75391/6312207. ------ 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)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 75392/6312234. ------ 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) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 75393/6312261. ------ 1. ==[ start ]==> ((((^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)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 75394/6312288. ------ 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 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))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^y.y))) 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. ------ 75395/6312315. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)(^a.(^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. ------ 75396/6312342. ------ 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))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 75397/6312369. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.(z z))) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 75398/6312477. ------ 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. ------ 75399/6312504. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) 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) REDUCED to normal form. ------ 75400/6312513. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c b)) 3. ==[ beta ]==> ((^y.y)(c b)) 4. ==[ alpha ]==> ((^x.x)(c b)) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 75401/6312540. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 75402/6312675. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((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. ------ 75403/6312792. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z)) a)) REDUCED to normal form. ------ 75404/6312819. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)((a a) b)) 3. ==[ beta ]==> ((b a)((a a) b)) REDUCED to normal form. ------ 75405/6312837. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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. ------ 75406/6312846. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^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. ------ 75407/6312864. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((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. ------ 75408/6312873. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 75409/6312918. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a b)) REDUCED to normal form. ------ 75410/6312954. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 75411/6312980. ------ 1. ==[ start ]==> (^a.(((a a) a)(^a.b))) 2. ==[ alpha ]==> (^x.(((x x) x)(^y.b))) REDUCED to normal form. ------ 75412/6312981. ------ 1. ==[ start ]==> (a (((a a) a)(^a.b))) 2. ==[ alpha ]==> (a (((a a) a)(^x.b))) REDUCED to normal form. ------ 75413/6319134. ------ 1. ==[ start ]==> ((((a a) a)(^a.b)) a) 2. ==[ alpha ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 75414/6319140. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.b))) 3. ==[ beta ]==> (((a a) a)(^y.b)) 4. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 75415/6319167. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(a a)))(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(a a)))) 7. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.(a a)))) 8. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.(a a)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 75416/6319194. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 75417/6319230. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75418/6319275. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> (((a a)(^z.z))(^y.y)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 75419/6319287. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 75420/6319392. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75421/6319620. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.((^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))(^y.b)) REDUCED to normal form. ------ 75422/6319935. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 75423/6319959. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75424/6320232. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a (^y1.(^z1.z1))))) 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)))) REDUCED to normal form. ------ 75425/6321030. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)(^z.(a a))) b) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(a a))) b) 5. ==[ beta ]==> ((a (^y.(a a))) b) 6. ==[ alpha ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 75426/6321375. ------ 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. ------ 75427/6321879. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.((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))) REDUCED to normal form. ------ 75428/6322581. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^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. ------ 75429/6323055. ------ 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. ------ 75430/6323400. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(z b))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(z b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y b))) REDUCED to normal form. ------ 75431/6323904. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75432/6324066. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(^c.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. ------ 75433/6324201. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.((^a.a)(^a.a)))) 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)))(^z.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 75434/6324471. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 75435/6324495. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75436/6324678. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.d)) 3. ==[ beta ]==> (((a b)(^y.y))(^z.d)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.d)) REDUCED to normal form. ------ 75437/6324777. ------ 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. ------ 75438/6324810. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75439/6325092. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 75440/6325101. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.c)) REDUCED to normal form. ------ 75441/6325146. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(^a.(^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. ------ 75442/6325155. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 75443/6325227. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 75444/6325263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(x1 x1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(x1 x1))) 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. ------ 75445/6325290. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 75446/6325302. ------ 1. ==[ start ]==> ((a a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a a)(((a a) a)(^x.b))) REDUCED to normal form. ------ 75447/6325329. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 75448/6325338. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^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. ------ 75449/6325356. ------ 1. ==[ start ]==> ((a b)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 75450/6325365. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 75451/6325392. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 75452/6325410. ------ 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. ------ 75453/6325437. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 75454/6325446. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75455/6325473. ------ 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)((^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. ------ 75456/6325500. ------ 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)))(^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. ------ 75457/6325554. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 75458/6325635. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 75459/6325662. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(^b.(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. ------ 75460/6325725. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (b a))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (b a))) REDUCED to normal form. ------ 75461/6325743. ------ 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.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. ------ 75462/6325752. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 75463/6325779. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a ((^z.z) b))) 3. ==[ beta ]==> ((a (^y.y))(a ((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) b))) 5. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 75464/6325815. ------ 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) a)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 75465/6325887. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)))) 5. ==[ beta ]==> ((a a)((a a)(a (a a)))) REDUCED to normal form. ------ 75466/6325968. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^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. ------ 75467/6325995. ------ 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. ------ 75468/6326022. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 75469/6326049. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(b a))) REDUCED to normal form. ------ 75470/6326076. ------ 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 (^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. ------ 75471/6326094. ------ 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 a))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 75472/6326121. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 75473/6326139. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 75474/6326166. ------ 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))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 75475/6326193. ------ 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. ------ 75476/6326220. ------ 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. ------ 75477/6326256. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 75478/6326283. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 75479/6326337. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 7. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 75480/6326391. ------ 1. ==[ start ]==> (((^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))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a (^y1.(^z1.z1))))) 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. ------ 75481/6326418. ------ 1. ==[ start ]==> (((^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))) 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. ------ 75482/6326805. ------ 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. ------ 75483/6326832. ------ 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. ------ 75484/6326886. ------ 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. ------ 75485/6326913. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 75486/6326940. ------ 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)(^z.z)))) REDUCED to normal form. ------ 75487/6326967. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(b a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75488/6327030. ------ 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.(^z.z)))) REDUCED to normal form. ------ 75489/6327057. ------ 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.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.a))) REDUCED to normal form. ------ 75490/6327084. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a b)(^y.(y y)))) 3. ==[ beta ]==> ((a (a (a a)))((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a (a a)))((a b)(^x.(x x)))) REDUCED to normal form. ------ 75491/6327111. ------ 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.(^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. ------ 75492/6327165. ------ 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. ------ 75493/6327192. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(^b.(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. ------ 75494/6327201. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.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. ------ 75495/6327363. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 75496/6327390. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 75497/6327417. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 75498/6327471. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 75499/6327507. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b ((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)(b ((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.a)(b ((a a)(^y.y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 75500/6327534. ------ 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. ------ 75501/6327561. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 75502/6327597. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a)) c)) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 75503/6327750. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) 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 (^x.x))(a a))) REDUCED to normal form. ------ 75504/6327822. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75505/6327876. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 7. ==[ beta ]==> ((^y.b)((^z.z) a)) 8. ==[ alpha ]==> ((^x.b)((^y.y) a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 75506/6327957. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 75507/6328011. ------ 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))((^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. ------ 75508/6328038. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 75509/6328092. ------ 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 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. ------ 75510/6328173. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^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. ------ 75511/6328326. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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 a)) REDUCED to normal form. ------ 75512/6328353. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.b) c)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b) c)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b) c)) 5. ==[ beta ]==> ((a (a a))((^y.b) c)) 6. ==[ alpha ]==> ((a (a a))((^x.b) c)) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 75513/6328398. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 75514/6328497. ------ 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)(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. ------ 75515/6328632. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 75516/6328713. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 75517/6328740. ------ 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)((^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. ------ 75518/6328794. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 75519/6328875. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))(^b.(^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. ------ 75520/6328938. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (a b))) REDUCED to normal form. ------ 75521/6328974. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 75522/6329001. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b) b)) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 75523/6329028. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 75524/6329190. ------ 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. ------ 75525/6329217. ------ 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. ------ 75526/6329307. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 75527/6329388. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 75528/6329496. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)(^b.(^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. ------ 75529/6329559. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (a b))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (a b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (a b))) REDUCED to normal form. ------ 75530/6329586. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a) a)(a a))) REDUCED to normal form. ------ 75531/6329640. ------ 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.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 75532/6329667. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (a (a a)))) REDUCED to normal form. ------ 75533/6329694. ------ 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))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 75534/6329721. ------ 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)((a a) a))) REDUCED to normal form. ------ 75535/6329784. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)(^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. ------ 75536/6329811. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 75537/6329838. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(y y)))) 7. ==[ beta ]==> ((a (a a))(a (^y.(y y)))) 8. ==[ alpha ]==> ((a (a a))(a (^x.(x x)))) REDUCED to normal form. ------ 75538/6329865. ------ 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. ------ 75539/6329919. ------ 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)(^y.y))(((a a) a) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 75540/6329946. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y) b)) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x) b)) 5. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 75541/6330045. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 75542/6330225. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (^c.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. ------ 75543/6330333. ------ 1. ==[ start ]==> (((^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 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. ------ 75544/6330360. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 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. ------ 75545/6330387. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 75546/6330441. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(^x1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 75547/6330450. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(c a)) REDUCED to normal form. ------ 75548/6330477. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (a (a a)))) 5. ==[ beta ]==> ((^y.b)(b (a (a a)))) 6. ==[ alpha ]==> ((^x.b)(b (a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 75549/6330531. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 75550/6330558. ------ 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. ------ 75551/6330585. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a (^z.z)) a)) REDUCED to normal form. ------ 75552/6330630. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 75553/6330657. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 75554/6330675. ------ 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)(^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. ------ 75555/6330702. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 75556/6330729. ------ 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 z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 75557/6330756. ------ 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. ------ 75558/6330783. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a) b)) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a) b)) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 75559/6330864. ------ 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)) a)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(y y)) a)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x)) a)) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 75560/6330891. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a) b)) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 75561/6330936. ------ 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. ------ 75562/6330972. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 75563/6330981. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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 REDUCED to normal form. ------ 75564/6331008. ------ 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.(^x2.x2))(a (^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(a (^y2.y2)))) 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. ------ 75565/6331143. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (^z.z))) 3. ==[ beta ]==> (b (c (^z.z))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 75566/6331251. ------ 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)(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. ------ 75567/6331260. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a c)) REDUCED to normal form. ------ 75568/6331287. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b (a a))) 3. ==[ beta ]==> ((b a)(b (a a))) REDUCED to normal form. ------ 75569/6331305. ------ 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)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 75570/6331314. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 75571/6331332. ------ 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)(b (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 75572/6331341. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(a a))) REDUCED to normal form. ------ 75573/6331386. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(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. ------ 75574/6331422. ------ 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 a) REDUCED to normal form. ------ 75575/6331449. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 75576/6337611. ------ 1. ==[ start ]==> ((((a a) a)(^a.b)) b) 2. ==[ alpha ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 75577/6337635. ------ 1. ==[ start ]==> ((^a.(^a.a))(((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. ------ 75578/6337782. ------ 1. ==[ start ]==> (((a a) b)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.y) x))) 3. ==[ eta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 75579/6338106. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 75580/6338121. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.b) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 75581/6338220. ------ 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. ------ 75582/6338430. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 75583/6338445. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75584/6338727. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 75585/6339003. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (b a))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (b a))) 3. ==[ beta ]==> (((b (b a))(b (b a)))(b (b a))) REDUCED to normal form. ------ 75586/6339321. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 75587/6339336. ------ 1. ==[ start ]==> ((^a.(^a.b))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((b a)(^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 75588/6339903. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1)) b)((^z.(^x1.x1)) b))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z)) b)((^x1.(^y1.y1)) b))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1)) b))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1)) b))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1)) b)) 8. ==[ alpha ]==> (^x.((^y.(^z.z)) b)) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75589/6340110. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a)((a a)(^z.z)))((a a)((a a)(^z.z))))) 4. ==[ alpha ]==> ((^x.x)(((a a)((a a)(^y.y)))((a a)((a a)(^z.z))))) 5. ==[ beta ]==> (((a a)((a a)(^y.y)))((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 75590/6340365. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 75591/6340374. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 75592/6340626. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a 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)))) REDUCED to normal form. ------ 75593/6340785. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((((^z.z) a)((a a) a))(((^z.z) a)((a a) a)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)((a a) a))(((^y.y) a)((a a) a)))(^z.z)) 5. ==[ beta ]==> (((a ((a a) a))(((^y.y) a)((a a) a)))(^z.z)) 6. ==[ alpha ]==> (((a ((a a) a))(((^x.x) 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. ------ 75594/6341076. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^z.(a a))) REDUCED to normal form. ------ 75595/6341301. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 75596/6341886. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 75597/6342090. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a) a)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 75598/6342378. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b ((^x1.x1)(^y1.y1)))(^y.(^z.z))) 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))) REDUCED to normal form. ------ 75599/6342696. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 75600/6342966. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 75601/6342981. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75602/6343191. ------ 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. ------ 75603/6343587. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 75604/6343632. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.b)) 3. ==[ beta ]==> (((^y.y) b)(^z.b)) 4. ==[ alpha ]==> (((^x.x) b)(^y.b)) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 75605/6343641. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 75606/6343749. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(^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. ------ 75607/6343776. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 75608/6343806. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.b))) REDUCED to normal form. ------ 75609/6343833. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 75610/6343842. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 75611/6343869. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 75612/6343896. ------ 1. ==[ start ]==> (((^a.a) b)((^b.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. ------ 75613/6343923. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^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. ------ 75614/6343941. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(^b.b))) 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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75615/6343950. ------ 1. ==[ start ]==> (((a a) b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y) b))) 3. ==[ beta ]==> (((a a) b)((^y.y) b)) 4. ==[ alpha ]==> (((a a) b)((^x.x) b)) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 75616/6343968. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^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. ------ 75617/6343977. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 75618/6343995. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 75619/6344004. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(^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. ------ 75620/6344022. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 75621/6344085. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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 a) REDUCED to normal form. ------ 75622/6344166. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 75623/6344247. ------ 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.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. ------ 75624/6344274. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^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. ------ 75625/6344292. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.b) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) a)) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 75626/6344310. ------ 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))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 75627/6344337. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 75628/6344364. ------ 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)(^x.x)) a)) REDUCED to normal form. ------ 75629/6344391. ------ 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. ------ 75630/6344544. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^d.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.a))) REDUCED to normal form. ------ 75631/6344571. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 75632/6344598. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 75633/6344616. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 75634/6344706. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((b b)((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 75635/6344751. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)(^c.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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75636/6344778. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 75637/6344841. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.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. ------ 75638/6344868. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^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. ------ 75639/6344886. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a)(^a.(^a.(^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. ------ 75640/6344895. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 75641/6344913. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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) REDUCED to normal form. ------ 75642/6344922. ------ 1. ==[ start ]==> (((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))) 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. ------ 75643/6345003. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 7. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 75644/6345174. ------ 1. ==[ start ]==> ((a ((a a) a))(b (b a))) REDUCED to normal form. ------ 75645/6345210. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^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 ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75646/6345264. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (a ((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) c)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 75647/6345435. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 75648/6345489. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 75649/6345507. ------ 1. ==[ start ]==> ((a (^a.b))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((b a)(^y.y))) REDUCED to normal form. ------ 75650/6345678. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))(a b))) 3. ==[ beta ]==> (b ((^y.(y y))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 75651/6345696. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75652/6345777. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((b a) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a) a)) IRREDUCIBLE: cycle. ------ 75653/6345840. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 75654/6345867. ------ 1. ==[ start ]==> (((a b) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 75655/6345894. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 75656/6345948. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 75657/6345975. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 75658/6346002. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^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. ------ 75659/6346074. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 75660/6346092. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(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. ------ 75661/6346119. ------ 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. ------ 75662/6346146. ------ 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. ------ 75663/6346173. ------ 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. ------ 75664/6346200. ------ 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. ------ 75665/6346227. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (a b))) REDUCED to normal form. ------ 75666/6346245. ------ 1. ==[ start ]==> (((^a.b) b)(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(c (^y.(a a)))) 3. ==[ beta ]==> (b (c (^y.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 75667/6346254. ------ 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 (^x.x))(a a))) REDUCED to normal form. ------ 75668/6346281. ------ 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. ------ 75669/6346317. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.y1))) 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. ------ 75670/6346371. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b)(^b.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. ------ 75671/6346452. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 75672/6346461. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a b) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 75673/6346488. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(a b))) 3. ==[ beta ]==> (((a a) a)((^y.a)(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a b))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 75674/6346506. ------ 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))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^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)))) REDUCED to normal form. ------ 75675/6346515. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^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. ------ 75676/6346533. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 75677/6346542. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.z))) REDUCED to normal form. ------ 75678/6346587. ------ 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)(a a)) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a)) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a)) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a)) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a)) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) b)) 9. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) b)) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 11. ==[ beta ]==> (((^y.y)(a a)) b) 12. ==[ alpha ]==> (((^x.x)(a a)) b) 13. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 75679/6346596. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 75680/6346623. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b)(^b.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. ------ 75681/6346650. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 75682/6346677. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(^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. ------ 75683/6346767. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(b (a a))) REDUCED to normal form. ------ 75684/6346794. ------ 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. ------ 75685/6346821. ------ 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))(a a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a)(a a))) REDUCED to normal form. ------ 75686/6346848. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a 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. ------ 75687/6346875. ------ 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))) 5. ==[ beta ]==> ((((a a) a) a)(((a a) a) a)) REDUCED to normal form. ------ 75688/6346902. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 75689/6346929. ------ 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. ------ 75690/6346956. ------ 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. ------ 75691/6347127. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 75692/6347136. ------ 1. ==[ start ]==> (((a b) c)((^b.(^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. ------ 75693/6347163. ------ 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)(^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. ------ 75694/6347190. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 75695/6347208. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 75696/6347235. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((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. ------ 75697/6347244. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 75698/6347271. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 75699/6347289. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a b) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b) b)) REDUCED to normal form. ------ 75700/6347325. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75701/6347352. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(^x1.(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. ------ 75702/6347379. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 75703/6347406. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 75704/6347433. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.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. ------ 75705/6347469. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 75706/6347496. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b)(a a))) REDUCED to normal form. ------ 75707/6347523. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 75708/6347550. ------ 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. ------ 75709/6347577. ------ 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. ------ 75710/6347604. ------ 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. ------ 75711/6347631. ------ 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))) REDUCED to normal form. ------ 75712/6347658. ------ 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))) REDUCED to normal form. ------ 75713/6347802. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)(^b.(^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. ------ 75714/6347883. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 75715/6347946. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^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. ------ 75716/6348054. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.b)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.b)) REDUCED to normal form. ------ 75717/6348072. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.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)) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 75718/6348189. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (^b.(^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. ------ 75719/6348216. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.a))) REDUCED to normal form. ------ 75720/6348261. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 75721/6348540. ------ 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))((^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. ------ 75722/6348549. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b ((^z.z)(^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. ------ 75723/6348639. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z)) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z)) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z)) c)) 5. ==[ beta ]==> ((a a)((^z.(z z)) c)) 6. ==[ alpha ]==> ((a a)((^x.(x x)) c)) 7. ==[ beta ]==> ((a a)(c c)) REDUCED to normal form. ------ 75724/6348828. ------ 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))(^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. ------ 75725/6348837. ------ 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)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 75726/6348855. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)(^b.(^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. ------ 75727/6348864. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 75728/6348882. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 75729/6348945. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.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. ------ 75730/6348972. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 75731/6349017. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 75732/6349080. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (^z.a))) REDUCED to normal form. ------ 75733/6349134. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 75734/6349152. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 75735/6349197. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c c)) REDUCED to normal form. ------ 75736/6349332. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^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)(^x.x))(b a)) REDUCED to normal form. ------ 75737/6349359. ------ 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. ------ 75738/6349386. ------ 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) a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a a))) REDUCED to normal form. ------ 75739/6349431. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 75740/6349440. ------ 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. ------ 75741/6349476. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 75742/6349503. ------ 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 (^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))(^x2.(^y2.y2)))) 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. ------ 75743/6349638. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.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. ------ 75744/6349746. ------ 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.(^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. ------ 75745/6349755. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(a (^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. ------ 75746/6349782. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^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. ------ 75747/6349800. ------ 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. ------ 75748/6349809. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)(^a.(^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. ------ 75749/6349827. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) 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. ------ 75750/6349836. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (^y1.y1))) REDUCED to normal form. ------ 75751/6349881. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 75752/6349917. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a)(^a.a))) 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 a) REDUCED to normal form. ------ 75753/6349944. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 75754/6349961. ------ 1. ==[ start ]==> (^a.((^a.b)((a a) a))) 2. ==[ alpha ]==> (^x.((^y.b)((x x) x))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 75755/6349962. ------ 1. ==[ start ]==> (a ((^a.b)((a a) a))) 2. ==[ alpha ]==> (a ((^x.b)((a a) a))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 75756/6350460. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 75757/6355635. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75758/6356115. ------ 1. ==[ start ]==> ((((a a) a)(^a.b)) c) 2. ==[ alpha ]==> ((((a a) a)(^x.b)) c) REDUCED to normal form. ------ 75759/6356133. ------ 1. ==[ start ]==> (((^a.b)((a a) a)) a) 2. ==[ alpha ]==> (((^x.b)((a a) a)) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 75760/6356139. ------ 1. ==[ start ]==> ((^a.a)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.x)((^y.b)((a a) a))) 3. ==[ beta ]==> ((^y.b)((a a) a)) 4. ==[ alpha ]==> ((^x.b)((a a) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75761/6356193. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 75762/6356274. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^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. ------ 75763/6356295. ------ 1. ==[ start ]==> (((a a) b)(^c.(^b.b))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 75764/6356463. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)(^x1.a))) 3. ==[ eta ]==> ((^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. ------ 75765/6356634. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a ((^z.z) b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 75766/6356637. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(x x)))(^y.b)) REDUCED to normal form. ------ 75767/6357084. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)((^y1.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. ------ 75768/6357240. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 75769/6357555. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 (^z1.(^x2.x2))))) 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. ------ 75770/6358029. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(a b))) 3. ==[ beta ]==> (((^y.(y y))(a b)) b) 4. ==[ alpha ]==> (((^x.(x x))(a b)) b) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 75771/6358392. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(b y))) 3. ==[ eta ]==> (((^x.b)(a a)) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 75772/6358416. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (^y.((((a a)(^z.z))(a a))(((a a)(^z.z))(a a)))) 4. ==[ alpha ]==> (^x.((((a a)(^y.y))(a a))(((a a)(^z.z))(a a)))) REDUCED to normal form. ------ 75773/6358623. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b (^z.(^x1.x1)))(b (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((b (^y.(^z.z)))(b (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((b (^y.(^z.z)))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 75774/6358635. ------ 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. ------ 75775/6358887. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 75776/6359139. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 75777/6359589. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 75778/6359814. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 75779/6360030. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 75780/6360054. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.b)(a a))) 3. ==[ eta ]==> (b ((^y.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 75781/6360417. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(y b))) 3. ==[ beta ]==> (((a b)(a b))(^y.(y b))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(x b))) REDUCED to normal form. ------ 75782/6360759. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 75783/6360891. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(^z1.(^x2.x2)))(^y.(^z.z))) 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. ------ 75784/6361065. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.((^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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 75785/6361362. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 75786/6361596. ------ 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. ------ 75787/6361704. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 75788/6361809. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (^z.(z z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75789/6361812. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 75790/6361983. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.((^a.a) a))) 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. ------ 75791/6362100. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 75792/6362154. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.b)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 75793/6362172. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 75794/6362262. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.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. ------ 75795/6362289. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.a)) REDUCED to normal form. ------ 75796/6362307. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 75797/6362319. ------ 1. ==[ start ]==> ((a a)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a a)((^x.b)((a a) a))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 75798/6362337. ------ 1. ==[ start ]==> (((^a.a) a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.b))) 3. ==[ beta ]==> (a (((a a) a)(^y.b))) 4. ==[ alpha ]==> (a (((a a) a)(^x.b))) REDUCED to normal form. ------ 75799/6362364. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 75800/6362373. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 75801/6362427. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(b a))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 75802/6362445. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((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. ------ 75803/6362454. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^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. ------ 75804/6362472. ------ 1. ==[ start ]==> (((a a) b)((a a)(^b.b))) 2. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 75805/6362499. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b) a)) 3. ==[ beta ]==> (((a (^x.x)) a)(b a)) REDUCED to normal form. ------ 75806/6362526. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 75807/6362553. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a) c)) REDUCED to normal form. ------ 75808/6362616. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 75809/6362643. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 75810/6362814. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y) b))) 3. ==[ beta ]==> ((a (^x.(x x)))(a b)) REDUCED to normal form. ------ 75811/6362922. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> ((((^y.y)(a a))(a (a a)))(((^y.y)(a a))(a (a a)))) 6. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(a a))(a (a a)))) 7. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(a a))(a (a a)))) 8. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(a (a a)))) 9. ==[ beta ]==> (((a a)(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 75812/6362949. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 75813/6363003. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 9. ==[ beta ]==> ((^y.y)(a b)) 10. ==[ alpha ]==> ((^x.x)(a b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 75814/6363030. ------ 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. ------ 75815/6363057. ------ 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) 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. ------ 75816/6363111. ------ 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)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 75817/6363156. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.(^z.z)))(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. ------ 75818/6363228. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((b b)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((b b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 75819/6363237. ------ 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. ------ 75820/6363264. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 75821/6363363. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) 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. ------ 75822/6363417. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 75823/6363444. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 75824/6363471. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b a) b)) 3. ==[ beta ]==> ((a (^y.a))((b a) b)) 4. ==[ alpha ]==> ((a (^x.a))((b a) b)) REDUCED to normal form. ------ 75825/6363561. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 75826/6363615. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.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. ------ 75827/6363642. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 75828/6363669. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.(^y1.y1)))) 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)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 75829/6363732. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^y1.(^z1.z1))))) 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. ------ 75830/6363786. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (a (((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 75831/6363867. ------ 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)(^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. ------ 75832/6363894. ------ 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)(^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. ------ 75833/6363948. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)(((^x.x) 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. ------ 75834/6364101. ------ 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.z) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 75835/6364128. ------ 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. ------ 75836/6364182. ------ 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. ------ 75837/6364200. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)((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. ------ 75838/6364209. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(a b))) 3. ==[ beta ]==> ((a (a b))((a b)(a b))) REDUCED to normal form. ------ 75839/6364362. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(a a)) c)) 3. ==[ beta ]==> ((((a a) a) b)((a a) c)) REDUCED to normal form. ------ 75840/6364569. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (b a))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 75841/6364596. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 75842/6364776. ------ 1. ==[ start ]==> (((a b)(a a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(c (^x.(a a)))) REDUCED to normal form. ------ 75843/6364803. ------ 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. ------ 75844/6364812. ------ 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 a) REDUCED to normal form. ------ 75845/6364983. ------ 1. ==[ start ]==> (((a b) b)((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a b) b)((a (a a))(^x.a))) REDUCED to normal form. ------ 75846/6365010. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> (((a a) a)(a (^y.b))) 6. ==[ alpha ]==> (((a a) a)(a (^x.b))) REDUCED to normal form. ------ 75847/6365037. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 75848/6365064. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 75849/6365118. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 75850/6365145. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a b) c)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b) c)) 5. ==[ beta ]==> ((^y.(y y))((a b) c)) 6. ==[ alpha ]==> ((^x.(x x))((a b) c)) 7. ==[ beta ]==> (((a b) c)((a b) c)) REDUCED to normal form. ------ 75851/6365262. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.b))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 75852/6365289. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^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. ------ 75853/6365415. ------ 1. ==[ start ]==> (((^a.b) c)((^c.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. ------ 75854/6365514. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((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. ------ 75855/6365658. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) c)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a b) c)(^y.(y y))) 6. ==[ alpha ]==> (((a b) c)(^x.(x x))) REDUCED to normal form. ------ 75856/6365685. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))(^b.(^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. ------ 75857/6365766. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 75858/6365793. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((a (^x.b))((a a) a)) REDUCED to normal form. ------ 75859/6365847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a) c)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a) c)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75860/6365991. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.(a a))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(a a))) REDUCED to normal form. ------ 75861/6366153. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (^c.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. ------ 75862/6366180. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (^z.b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (^z.b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.b))) REDUCED to normal form. ------ 75863/6366207. ------ 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. ------ 75864/6366234. ------ 1. ==[ start ]==> ((a (b a))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (b a))((^x.b)(a a))) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 75865/6366468. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z) c)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y) c)) 5. ==[ beta ]==> ((((a a)(^x.x)) b) c) REDUCED to normal form. ------ 75866/6366594. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (a b))) 3. ==[ beta ]==> (((a b)(a b))(a (a b))) REDUCED to normal form. ------ 75867/6366603. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.b) a)) 3. ==[ beta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 75868/6366657. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^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. ------ 75869/6366675. ------ 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. ------ 75870/6366801. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(a a))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 75871/6366828. ------ 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 (^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. ------ 75872/6366855. ------ 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 z))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y) a))) 7. ==[ beta ]==> ((a (a a))(((^y.y) a)((^y.y) a))) 8. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> ((a (a a))(a ((^y.y) a))) 10. ==[ alpha ]==> ((a (a a))(a ((^x.x) a))) 11. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 75873/6366882. ------ 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. ------ 75874/6366909. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 75875/6366936. ------ 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)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((a a) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a) a)) REDUCED to normal form. ------ 75876/6366963. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 75877/6366990. ------ 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))(^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)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 75878/6367017. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 75879/6367071. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^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. ------ 75880/6367080. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75881/6367161. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> ((a a)((a (a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 75882/6367242. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 75883/6367359. ------ 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 x1)))) REDUCED to normal form. ------ 75884/6367386. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 75885/6367467. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a) c)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a c)) REDUCED to normal form. ------ 75886/6367539. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 75887/6367548. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^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. ------ 75888/6367575. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z)) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y)) b)) 5. ==[ beta ]==> (((a a)(^x.(x x)))(b b)) REDUCED to normal form. ------ 75889/6367602. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 75890/6367647. ------ 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 a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75891/6367692. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a a)(a a))) REDUCED to normal form. ------ 75892/6367719. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 75893/6367746. ------ 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.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 75894/6367773. ------ 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. ------ 75895/6367800. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 75896/6367827. ------ 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)))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 75897/6367854. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))(^b.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. ------ 75898/6367881. ------ 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)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.(y y))) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 75899/6367953. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75900/6367962. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b (^z.a))) REDUCED to normal form. ------ 75901/6367989. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.(y y)))) 3. ==[ beta ]==> ((a b)(a (^y.(y y)))) 4. ==[ alpha ]==> ((a b)(a (^x.(x x)))) REDUCED to normal form. ------ 75902/6368160. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(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. ------ 75903/6368268. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 75904/6368277. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 75905/6368304. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 75906/6368322. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b (a a))) 3. ==[ beta ]==> (((^y.y) b)(b (a a))) 4. ==[ alpha ]==> (((^x.x) b)(b (a a))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 75907/6368331. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 75908/6368349. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 75909/6368358. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) 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. ------ 75910/6368403. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b a)) REDUCED to normal form. ------ 75911/6368439. ------ 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 a) REDUCED to normal form. ------ 75912/6368466. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 75913/6368484. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 75914/6368492. ------ 1. ==[ start ]==> (^a.((a b)(^c.a))) 2. ==[ alpha ]==> (^x.((x b)(^y.x))) REDUCED to normal form. ------ 75915/6368493. ------ 1. ==[ start ]==> (a ((a b)(^c.a))) 2. ==[ alpha ]==> (a ((a b)(^x.a))) REDUCED to normal form. ------ 75916/6368991. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 75917/6369315. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75918/6370206. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 75919/6372960. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 75920/6373851. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75921/6374664. ------ 1. ==[ start ]==> (((^a.b)((a a) a)) b) 2. ==[ alpha ]==> (((^x.b)((a a) a)) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 75922/6374673. ------ 1. ==[ start ]==> (((a b)(^c.a)) a) 2. ==[ alpha ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 75923/6374679. ------ 1. ==[ start ]==> ((^a.a)((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 3. ==[ beta ]==> ((a b)(^y.a)) 4. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 75924/6374688. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 75925/6374706. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.b))) 3. ==[ beta ]==> ((((a a) a)(^y.b))(((a a) a)(^y.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a) a)(^y.b))) REDUCED to normal form. ------ 75926/6374733. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 75927/6374769. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75928/6374814. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^z.z))(^x1.(^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 75929/6374853. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 75930/6375174. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 75931/6375177. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 75932/6375498. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75933/6375501. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 75934/6375624. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b)(^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. ------ 75935/6375798. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(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)))) REDUCED to normal form. ------ 75936/6376095. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.(^y2.y2))))) 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. ------ 75937/6376389. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 75938/6376392. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 75939/6376569. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))((a (a a))(^y.b))) 3. ==[ beta ]==> (((a (a a))(^y.b)) b) 4. ==[ alpha ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 75940/6376662. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(z a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(z a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(z a))) IRREDUCIBLE: cycle. ------ 75941/6376941. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(b a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(b y))) 3. ==[ eta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 75942/6378594. ------ 1. ==[ start ]==> ((^a.(b a))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((a b)(^y.y))) 3. ==[ eta ]==> (b ((a b)(^y.y))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 75943/6378768. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(a z))) 3. ==[ eta ]==> (((^x.b)(^y.(y y))) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 75944/6378957. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.y))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.y))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.x))) REDUCED to normal form. ------ 75945/6378966. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(y b))) REDUCED to normal form. ------ 75946/6379143. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (^y1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 75947/6379146. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.b))) REDUCED to normal form. ------ 75948/6379767. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 75949/6379902. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 75950/6379911. ------ 1. ==[ start ]==> (((a b)(^b.(^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)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 75951/6380034. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75952/6380037. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 75953/6380361. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 75954/6380523. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(^b.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. ------ 75955/6380667. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.c)) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.c)) 3. ==[ beta ]==> ((b a)(^y.c)) 4. ==[ alpha ]==> ((b a)(^x.c)) REDUCED to normal form. ------ 75956/6380712. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(^a.(^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. ------ 75957/6380721. ------ 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)))) REDUCED to normal form. ------ 75958/6380766. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.(^a.(^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. ------ 75959/6380802. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 75960/6380829. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 75961/6380847. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(^a.a))) 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. ------ 75962/6380856. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.a)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 75963/6380868. ------ 1. ==[ start ]==> ((a a)((a b)(^c.a))) 2. ==[ alpha ]==> ((a a)((a b)(^x.a))) REDUCED to normal form. ------ 75964/6380877. ------ 1. ==[ start ]==> ((a (^a.a))((^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. ------ 75965/6380895. ------ 1. ==[ start ]==> ((a (a a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.b))) REDUCED to normal form. ------ 75966/6380922. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^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. ------ 75967/6380931. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 75968/6380958. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 75969/6381003. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 75970/6381012. ------ 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 (^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. ------ 75971/6381039. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 75972/6381066. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^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. ------ 75973/6381093. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.(^a.a)))(^a.(^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. ------ 75974/6381201. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.a)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.b)(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 75975/6381345. ------ 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))))) REDUCED to normal form. ------ 75976/6381363. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 75977/6381381. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.b) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y) 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. ------ 75978/6381408. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1))) b)) 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. ------ 75979/6381453. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((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)(^x.x)) a)) REDUCED to normal form. ------ 75980/6381534. ------ 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. ------ 75981/6381561. ------ 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)((^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. ------ 75982/6381588. ------ 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.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a (a a))(a a))) REDUCED to normal form. ------ 75983/6381615. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 75984/6381642. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 75985/6381660. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (^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. ------ 75986/6381669. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 75987/6381687. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 75988/6381705. ------ 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))) REDUCED to normal form. ------ 75989/6381732. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b a)(^a.(^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. ------ 75990/6381759. ------ 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. ------ 75991/6381786. ------ 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)))) 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. ------ 75992/6381813. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 75993/6381822. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75994/6381903. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 9. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 10. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 11. ==[ beta ]==> ((a a)((^y.y)(a a))) 12. ==[ alpha ]==> ((a a)((^x.x)(a a))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 75995/6381957. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^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. ------ 75996/6381984. ------ 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 (^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. ------ 75997/6382281. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.(^y2.y2))))) 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. ------ 75998/6382371. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (b (((^y.y)(a a))((^z.z) 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. ------ 75999/6382398. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)(a (a a)))) REDUCED to normal form. ------ 76000/6382452. ------ 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)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 76001/6382479. ------ 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. ------ 76002/6382506. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.a))(a (a a))) REDUCED to normal form. ------ 76003/6382533. ------ 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.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76004/6382560. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(b a))) REDUCED to normal form. ------ 76005/6382578. ------ 1. ==[ start ]==> ((a (^a.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 76006/6382596. ------ 1. ==[ start ]==> (((a a)((a a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((b a)(^x.x))) REDUCED to normal form. ------ 76007/6382623. ------ 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)(^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. ------ 76008/6382650. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a 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. ------ 76009/6382677. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a b)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) a)((a b)(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a)) a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 76010/6382704. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 76011/6382758. ------ 1. ==[ start ]==> ((a (a b))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (a b))((a (a a))(^x.b))) REDUCED to normal form. ------ 76012/6382767. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(a b))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(a b))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76013/6382848. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(b a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(b a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(b a))) IRREDUCIBLE: cycle. ------ 76014/6382929. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a))(^b.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. ------ 76015/6382956. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 76016/6383037. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(^y.b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)(^y.b))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.b))) 7. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 76017/6383073. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)(c ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.a)(c ((^y.y)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 76018/6383100. ------ 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. ------ 76019/6383127. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (b a))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (b a))) REDUCED to normal form. ------ 76020/6383163. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 76021/6383190. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 76022/6383316. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 76023/6383361. ------ 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 a) REDUCED to normal form. ------ 76024/6383442. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 7. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 8. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76025/6383523. ------ 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)(^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. ------ 76026/6383577. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a b))) 5. ==[ beta ]==> ((a a)((^y.a)(a b))) 6. ==[ alpha ]==> ((a a)((^x.a)(a b))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 76027/6383604. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^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. ------ 76028/6383739. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 76029/6383919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a)) b)) 5. ==[ beta ]==> ((a (a a))((^y.(a a)) b)) 6. ==[ alpha ]==> ((a (a a))((^x.(a a)) b)) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 76030/6383946. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b) c)) 3. ==[ beta ]==> ((((a a) a) a)((^y.b) c)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b) c)) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 76031/6383964. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)(((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. ------ 76032/6383973. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a) d)) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 76033/6384063. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 76034/6384198. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 76035/6384279. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 76036/6384306. ------ 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.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. ------ 76037/6384360. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 76038/6384441. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^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. ------ 76039/6384567. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(a a)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a)) a)) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 76040/6384594. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 76041/6384783. ------ 1. ==[ start ]==> ((a (b a))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (b a))((a b)(^x.x))) REDUCED to normal form. ------ 76042/6384873. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (b ((^z.(z z))(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. ------ 76043/6384954. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 76044/6385062. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((b a)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 76045/6385089. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(^b.(^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. ------ 76046/6385125. ------ 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. ------ 76047/6385143. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a b)(a b))(^y.b)) 6. ==[ alpha ]==> (((a b)(a b))(^x.b)) REDUCED to normal form. ------ 76048/6385152. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (a b))) REDUCED to normal form. ------ 76049/6385206. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 76050/6385233. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 76051/6385260. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(a (a (a a)))) REDUCED to normal form. ------ 76052/6385287. ------ 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))((^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. ------ 76053/6385332. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.b))) REDUCED to normal form. ------ 76054/6385350. ------ 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. ------ 76055/6385377. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 76056/6385404. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a 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. ------ 76057/6385431. ------ 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. ------ 76058/6385458. ------ 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 (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^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)))) REDUCED to normal form. ------ 76059/6385512. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 76060/6385539. ------ 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)(^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) 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. ------ 76061/6385629. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76062/6385791. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (^b.(^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. ------ 76063/6385899. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 76064/6385926. ------ 1. ==[ start ]==> (((^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)))) 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. ------ 76065/6385953. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 76066/6386007. ------ 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.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^y.(^z.z)))) 10. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 11. ==[ beta ]==> (((a a)(a a))(^y.y)) 12. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 76067/6386043. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c ((^z.z) a))) 5. ==[ beta ]==> ((^y.b)(c ((^z.z) a))) 6. ==[ alpha ]==> ((^x.b)(c ((^y.y) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 76068/6386088. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 76069/6386097. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((^z.z)(^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. ------ 76070/6386124. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(a a))) REDUCED to normal form. ------ 76071/6386151. ------ 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. ------ 76072/6386196. ------ 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))(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. ------ 76073/6386205. ------ 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)))) REDUCED to normal form. ------ 76074/6386223. ------ 1. ==[ start ]==> ((a (^b.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 76075/6386241. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (a a))(^z.z))) REDUCED to normal form. ------ 76076/6386268. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 76077/6386295. ------ 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))(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 76078/6386322. ------ 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 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. ------ 76079/6386349. ------ 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. ------ 76080/6386376. ------ 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. ------ 76081/6386403. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z)) c)) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z)) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y)) c)) REDUCED to normal form. ------ 76082/6386457. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(z z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y)) a)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 76083/6386502. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 76084/6386547. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 76085/6386574. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^z1.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. ------ 76086/6386709. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(^b.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. ------ 76087/6386817. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 76088/6386826. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b b)) REDUCED to normal form. ------ 76089/6386853. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a c)) 2. ==[ alpha ]==> ((((^x.x) b) a)(a c)) 3. ==[ beta ]==> ((b a)(a c)) REDUCED to normal form. ------ 76090/6386871. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^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. ------ 76091/6386880. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (a a))) REDUCED to normal form. ------ 76092/6386898. ------ 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)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.x2)))) 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. ------ 76093/6386907. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (a (^y1.y1)))) REDUCED to normal form. ------ 76094/6386952. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 76095/6386988. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 76096/6387015. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (a a))) REDUCED to normal form. ------ 76097/6387033. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a (^a.a))) 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. ------ 76098/6387042. ------ 1. ==[ start ]==> (((a b)(^c.a))(a a)) 2. ==[ alpha ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 76099/6392724. ------ 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. ------ 76100/6393222. ------ 1. ==[ start ]==> (((^a.b)((a a) a)) c) 2. ==[ alpha ]==> (((^x.b)((a a) a)) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 76101/6393231. ------ 1. ==[ start ]==> (((a b)(^c.a)) b) 2. ==[ alpha ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 76102/6393255. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76103/6393429. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 76104/6393498. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((b a) c)) 3. ==[ beta ]==> (^y.((b a) c)) 4. ==[ alpha ]==> (^x.((b a) c)) REDUCED to normal form. ------ 76105/6393762. ------ 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) a)(^y.((^z.z) b))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y) b))) 5. ==[ beta ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 76106/6393840. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((^z.z) a))((((a a)(^y.y))((^z.z) a))(((a a)(^y.y))((^z.z) a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((((a a)(^z.z))((^x1.x1) a))(((a a)(^y1.y1))((^z1.z1) a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((((a a)(^z.z))((^x1.x1) a))(((a a)(^y1.y1))((^z1.z1) a)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((((a a)(^y.y))((^z.z) a))(((a a)(^x1.x1))((^y1.y1) a)))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)((((a a)(^y.y)) a)(((a a)(^x1.x1))((^y1.y1) a)))) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)((((a a)(^y.y)) a)(((a a)(^z.z))((^x1.x1) a)))) 9. ==[ beta ]==> ((((a a)(^x.x)) a)((((a a)(^y.y)) a)(((a a)(^z.z)) a))) REDUCED to normal form. ------ 76107/6394374. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 76108/6395730. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))((^x1.x1)(a a)))((a (^z.z))((^x1.x1)(a a))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))((^z.z)(a a)))((a (^x1.x1))((^y1.y1)(a a))))) 5. ==[ beta ]==> (((a (^y.y))((^z.z)(a a)))((a (^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))((^z.z)(a a)))) 9. ==[ beta ]==> (((a (^x.x))(a a))((a (^y.y))(a a))) REDUCED to normal form. ------ 76109/6396273. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 76110/6396405. ------ 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.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a (a a))((^z.z)(^x1.x1)))((a (a a))((^z.z)(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))((^x.x)(^y.y)))((a (a a))((^z.z)(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((((a (a a))(^y.y))((a (a a))((^z.z)(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> ((((a (a a))(^x.x))((a (a a))((^y.y)(^z.z))))(^x1.x1)) 7. ==[ beta ]==> ((((a (a a))(^x.x))((a (a a))(^z.z)))(^x1.x1)) 8. ==[ alpha ]==> ((((a (a a))(^x.x))((a (a a))(^y.y)))(^z.z)) REDUCED to normal form. ------ 76111/6396723. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.b))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.b))(^y.(a a))) REDUCED to normal form. ------ 76112/6396948. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^y.(y y))) REDUCED to normal form. ------ 76113/6397335. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 76114/6397533. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 76115/6398334. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 76116/6398478. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 76117/6398838. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(z (z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(z (z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y (y y)))) REDUCED to normal form. ------ 76118/6398916. ------ 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. ------ 76119/6398919. ------ 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)(^x.a)) REDUCED to normal form. ------ 76120/6399090. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 76121/6399234. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(a (^z.z)))) 3. ==[ beta ]==> ((b a)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((b a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 76122/6399288. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 76123/6399333. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.z)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 76124/6399369. ------ 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. ------ 76125/6399396. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 76126/6399414. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 76127/6399423. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 76128/6399453. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 76129/6399462. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)((a a) a))) 3. ==[ beta ]==> (a ((^y.b)((a a) a))) 4. ==[ alpha ]==> (a ((^x.b)((a a) a))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 76130/6399480. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((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. ------ 76131/6399507. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 76132/6399516. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^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. ------ 76133/6399543. ------ 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)))) 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. ------ 76134/6399570. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 76135/6399588. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76136/6399597. ------ 1. ==[ start ]==> (((a a) b)((^a.(^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. ------ 76137/6399615. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 76138/6399624. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) b)) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 76139/6399642. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b) a)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b) a)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) a)) 5. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 76140/6399651. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 76141/6399669. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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) REDUCED to normal form. ------ 76142/6399678. ------ 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.(^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. ------ 76143/6399696. ------ 1. ==[ start ]==> ((a (^b.a))((b a) c)) 2. ==[ alpha ]==> ((a (^x.a))((b a) c)) REDUCED to normal form. ------ 76144/6399732. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 76145/6399813. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 76146/6399840. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 76147/6399867. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 76148/6399921. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^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. ------ 76149/6399957. ------ 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) 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. ------ 76150/6399984. ------ 1. ==[ start ]==> (((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))) REDUCED to normal form. ------ 76151/6400011. ------ 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. ------ 76152/6400038. ------ 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)(^x.x)) a)) REDUCED to normal form. ------ 76153/6400245. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 76154/6400353. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 76155/6400398. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)(^b.(^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. ------ 76156/6400479. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 76157/6400488. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a)) b)((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a (a a)) b)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a (a a)) b)((a a)(a a))) REDUCED to normal form. ------ 76158/6400515. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (a ((^y.a)((a a)(^z.z)))) 6. ==[ alpha ]==> (a ((^x.a)((a a)(^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76159/6400542. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^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. ------ 76160/6400560. ------ 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.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.(^y1.y1))))) 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. ------ 76161/6400569. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 76162/6400596. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 76163/6400614. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b a) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b a) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a) b)) REDUCED to normal form. ------ 76164/6401325. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 76165/6401343. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(^z.b))) 3. ==[ beta ]==> ((^y.b)((a (a a))(^z.b))) 4. ==[ alpha ]==> ((^x.b)((a (a a))(^y.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76166/6401487. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a))(^a.(^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. ------ 76167/6401505. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (b (((^z.z)(a a)) c)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) c)) 5. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 76168/6401514. ------ 1. ==[ start ]==> (((a b) a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b) a)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 76169/6401541. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 76170/6401595. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 76171/6401622. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 76172/6401649. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.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. ------ 76173/6401739. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 76174/6401766. ------ 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 (^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. ------ 76175/6401793. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^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 (^x.x))((a b) a)) REDUCED to normal form. ------ 76176/6401820. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 76177/6401847. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (a ((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> (a ((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> (a ((^y.y)(^z.z))) 12. ==[ alpha ]==> (a ((^x.x)(^y.y))) 13. ==[ beta ]==> (a (^y.y)) 14. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 76178/6401874. ------ 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. ------ 76179/6401901. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a b)(a a))(a (a b))) REDUCED to normal form. ------ 76180/6401928. ------ 1. ==[ start ]==> ((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)))) 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 (^x.x))(a a))) REDUCED to normal form. ------ 76181/6402018. ------ 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 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. ------ 76182/6402099. ------ 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.(^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. ------ 76183/6402108. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 76184/6402135. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((a a) a))) 5. ==[ beta ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 76185/6402153. ------ 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))) 7. ==[ beta ]==> ((a a)(a (^y.b))) 8. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 76186/6402162. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.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. ------ 76187/6402180. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 76188/6402189. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^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. ------ 76189/6402234. ------ 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)(^x1.x1)) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1)) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1)) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1)) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1)) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z)) a)) 9. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) a)) 10. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 11. ==[ beta ]==> (((a a)(^y.y)) a) 12. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 76190/6402243. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.(^a.a))(^a.a))) 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. ------ 76191/6402270. ------ 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 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. ------ 76192/6402297. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 76193/6402324. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 76194/6402351. ------ 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.(^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. ------ 76195/6402414. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (a b))) REDUCED to normal form. ------ 76196/6402441. ------ 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. ------ 76197/6402468. ------ 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)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 76198/6402495. ------ 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 a))(a a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(a a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(a a))) 7. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 76199/6402522. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a 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. ------ 76200/6402549. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 76201/6402576. ------ 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 (a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^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)))) 7. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 76202/6402603. ------ 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)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 76203/6402774. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 76204/6402783. ------ 1. ==[ start ]==> (((a b) c)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 76205/6402810. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^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. ------ 76206/6402837. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 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. ------ 76207/6402882. ------ 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.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. ------ 76208/6402891. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 76209/6402918. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 76210/6402936. ------ 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 a) a))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 76211/6402972. ------ 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)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76212/6403026. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 76213/6403053. ------ 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 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. ------ 76214/6403080. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 76215/6403116. ------ 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. ------ 76216/6403143. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a (a a))) REDUCED to normal form. ------ 76217/6403170. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a b)(a a))) 3. ==[ beta ]==> ((a (a b))((a b)(a a))) REDUCED to normal form. ------ 76218/6403197. ------ 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. ------ 76219/6403224. ------ 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)(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1) a))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 10. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 11. ==[ beta ]==> ((^y.y)((^z.z) a)) 12. ==[ alpha ]==> ((^x.x)((^y.y) a)) 13. ==[ beta ]==> ((^y.y) a) 14. ==[ alpha ]==> ((^x.x) a) 15. ==[ beta ]==> a REDUCED to normal form. ------ 76220/6403251. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 76221/6403278. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 76222/6403305. ------ 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.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 76223/6403332. ------ 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. ------ 76224/6403449. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> (b ((a (a a))(^z.(z z)))) 6. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 76225/6403530. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(^z.b))) 3. ==[ beta ]==> (b ((a a)(^z.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 76226/6403593. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a)(^a.(^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. ------ 76227/6403701. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))(^c.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. ------ 76228/6403728. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.b)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.b)) REDUCED to normal form. ------ 76229/6403800. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^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. ------ 76230/6404187. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^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. ------ 76231/6404286. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(^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. ------ 76232/6404475. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 76233/6404484. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 76234/6404502. ------ 1. ==[ start ]==> (((^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 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 76235/6404511. ------ 1. ==[ start ]==> (((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 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. ------ 76236/6404529. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 76237/6404583. ------ 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 a))((^y.y)(a a)))((a (a a)) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (a a)) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (a a)) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a)) b)) 7. ==[ beta ]==> (((a a)(a a))((a (a a)) b)) REDUCED to normal form. ------ 76238/6404592. ------ 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.(^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. ------ 76239/6404619. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.b)((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 76240/6404673. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(^b.(^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. ------ 76241/6404781. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 76242/6404979. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c (a (^z.z)))) 3. ==[ beta ]==> (((a b)(^y.y))(c (a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (a (^y.y)))) REDUCED to normal form. ------ 76243/6405006. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(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. ------ 76244/6405033. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a (a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a (a a)))) REDUCED to normal form. ------ 76245/6405078. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76246/6405087. ------ 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. ------ 76247/6405114. ------ 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))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 76248/6405150. ------ 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) a)(^x2.x2))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) a)(^x2.x2))) 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. ------ 76249/6405285. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 76250/6405393. ------ 1. ==[ start ]==> (((^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))) 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. ------ 76251/6405402. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^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. ------ 76252/6405429. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((b a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((b a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 76253/6405447. ------ 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)) REDUCED to normal form. ------ 76254/6405456. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^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. ------ 76255/6405474. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((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. ------ 76256/6405483. ------ 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)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 76257/6405528. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 76258/6405564. ------ 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. ------ 76259/6405591. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 76260/6405609. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y) a)) 3. ==[ beta ]==> (b ((^y.y) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 76261/6405618. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 76262/6405635. ------ 1. ==[ start ]==> (^a.((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(x x))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 76263/6405636. ------ 1. ==[ start ]==> (a ((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 76264/6406458. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(a (^a.(^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. ------ 76265/6407349. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 76266/6407916. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(b z))) 3. ==[ eta ]==> ((^x.(^y.(x x))) b) 4. ==[ beta ]==> (^y.(b b)) 5. ==[ alpha ]==> (^x.(b b)) REDUCED to normal form. ------ 76267/6409554. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(y y)))) 3. ==[ eta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 76268/6410994. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76269/6411816. ------ 1. ==[ start ]==> (((a b)(^c.a)) c) 2. ==[ alpha ]==> (((a b)(^x.a)) c) REDUCED to normal form. ------ 76270/6411840. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76271/6411867. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)((a a) a))) 3. ==[ beta ]==> (((^y.b)((a a) a))((^y.b)((a a) a))) 4. ==[ alpha ]==> (((^x.b)((a a) a))((^y.b)((a a) a))) 5. ==[ beta ]==> (b ((^y.b)((a a) a))) 6. ==[ alpha ]==> (b ((^x.b)((a a) a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 76272/6411894. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(a b))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 76273/6411975. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> (((^z.a)(b a))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(b a))(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 76274/6412164. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 76275/6412335. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (a (^a.(^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. ------ 76276/6412356. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 76277/6412659. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76278/6412662. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 76279/6412680. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 76280/6412785. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76281/6413217. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1))))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1))))((^x2.a)(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((a ((^x1.a)(^y1.(^z1.z1))))((^x2.a)(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a a)((^x1.a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 76282/6413550. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 76283/6413553. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(b a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(b a))) REDUCED to normal form. ------ 76284/6413571. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 76285/6413730. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))((a a) a)) b) 4. ==[ alpha ]==> (((^x.(^y.y))((a a) a)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 76286/6414117. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (b a))) 3. ==[ beta ]==> (^y.((a (b a))(a (b a)))) 4. ==[ alpha ]==> (^x.((a (b a))(a (b a)))) REDUCED to normal form. ------ 76287/6414120. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(b y))) 3. ==[ eta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 76288/6414363. ------ 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))) REDUCED to normal form. ------ 76289/6414867. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(^c.(^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)))) REDUCED to normal form. ------ 76290/6415317. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 76291/6415542. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 76292/6415755. ------ 1. ==[ start ]==> ((^a.(b a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(a (^y.(a a)))) 3. ==[ eta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 76293/6415758. ------ 1. ==[ start ]==> ((a (b a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 76294/6416304. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)((a a) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 76295/6416325. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.b))) REDUCED to normal form. ------ 76296/6416487. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.((a a) a))) REDUCED to normal form. ------ 76297/6416592. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^x1.a)(^y1.(y1 y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.(y y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 76298/6417195. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76299/6417198. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 76300/6417216. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 76301/6417324. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 76302/6417432. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(z z)))) REDUCED to normal form. ------ 76303/6417510. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b (^z.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76304/6417522. ------ 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 ]==> (^x.a) REDUCED to normal form. ------ 76305/6417684. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 76306/6417828. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(^a.(^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. ------ 76307/6417846. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.c)) 3. ==[ beta ]==> (((^y.y) b)(^z.c)) 4. ==[ alpha ]==> (((^x.x) b)(^y.c)) 5. ==[ beta ]==> (b (^y.c)) 6. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 76308/6417963. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.(^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. ------ 76309/6417990. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.a)) REDUCED to normal form. ------ 76310/6418008. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(y y))) 3. ==[ beta ]==> (b (^y.(y y))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 76311/6418017. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.a)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 76312/6418047. ------ 1. ==[ start ]==> ((a a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 76313/6418065. ------ 1. ==[ start ]==> (((^a.a) a)((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x) a)((a b)(^y.a))) 3. ==[ beta ]==> (a ((a b)(^y.a))) 4. ==[ alpha ]==> (a ((a b)(^x.a))) REDUCED to normal form. ------ 76314/6418074. ------ 1. ==[ start ]==> ((a (a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a (a a))((^x.b)((a a) a))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 76315/6418092. ------ 1. ==[ start ]==> (((a a) a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.b))) REDUCED to normal form. ------ 76316/6418101. ------ 1. ==[ start ]==> ((a b)((^c.a)(a b))) 2. ==[ alpha ]==> ((a b)((^x.a)(a b))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 76317/6418119. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 76318/6418146. ------ 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. ------ 76319/6418155. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 76320/6418182. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(b a))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 76321/6418200. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 76322/6418227. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 76323/6418254. ------ 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. ------ 76324/6418281. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 76325/6418371. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 76326/6418542. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 76327/6418560. ------ 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) 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. ------ 76328/6418650. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^y.y))((^z.z) a))(((a a)(^y.y))((^z.z) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))((^z.z) a))) 9. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 76329/6418677. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 76330/6418731. ------ 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 ]==> (((^y.y)(^y.y))(((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. ------ 76331/6418758. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a b))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a b))) 7. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 76332/6418785. ------ 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.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. ------ 76333/6418839. ------ 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 (^y.y))(b a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 76334/6418866. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 76335/6418884. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a (^b.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 76336/6418911. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 76337/6418956. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a))(^b.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. ------ 76338/6418992. ------ 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 (^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 a)) REDUCED to normal form. ------ 76339/6419091. ------ 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. ------ 76340/6419172. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 76341/6419199. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (^y.a))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 76342/6419226. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a) b)) REDUCED to normal form. ------ 76343/6419289. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 76344/6419316. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 76345/6419370. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))(^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. ------ 76346/6419397. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(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. ------ 76347/6419424. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 76348/6419460. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 76349/6419514. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b a)(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((b a)(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b a)(a a))) 5. ==[ beta ]==> (a ((b a)(a a))) REDUCED to normal form. ------ 76350/6419550. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) c)) 5. ==[ beta ]==> (b ((^y.(^z.z)) c)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 76351/6419595. ------ 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. ------ 76352/6419622. ------ 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)(^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. ------ 76353/6419676. ------ 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. ------ 76354/6419757. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(b a))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(b a))) REDUCED to normal form. ------ 76355/6419775. ------ 1. ==[ start ]==> (((a a)((a a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 76356/6419856. ------ 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.z) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 76357/6419883. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(a (a a)))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 76358/6419928. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 76359/6419937. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 76360/6420090. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 76361/6420117. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(a a)) c)) 3. ==[ beta ]==> (((a b) a)((a a) c)) REDUCED to normal form. ------ 76362/6420297. ------ 1. ==[ start ]==> (((^a.b)(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(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. ------ 76363/6420324. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (b a))) REDUCED to normal form. ------ 76364/6420540. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76365/6420567. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 76366/6420711. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(^b.(^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. ------ 76367/6420765. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) 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. ------ 76368/6420792. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 76369/6420846. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 76370/6420873. ------ 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)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a)) b)) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a)) b)) 7. ==[ beta ]==> ((((^y.y)(a a)) b)(((^y.y)(a a)) b)) 8. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(a a)) b)) 9. ==[ beta ]==> (((a a) b)(((^y.y)(a a)) b)) 10. ==[ alpha ]==> (((a a) b)(((^x.x)(a a)) b)) 11. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 76371/6420900. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b) c)) REDUCED to normal form. ------ 76372/6421017. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.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. ------ 76373/6421044. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^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. ------ 76374/6421143. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b) c)) 2. ==[ alpha ]==> (((^x.b) c)((^y.b) c)) 3. ==[ beta ]==> (b ((^y.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 76375/6421242. ------ 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)(((^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. ------ 76376/6421386. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a b) c)(((a a) a)(^x.a))) REDUCED to normal form. ------ 76377/6421413. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 76378/6421440. ------ 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. ------ 76379/6421494. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 76380/6421521. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.b))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(a a)))) REDUCED to normal form. ------ 76381/6421575. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b) b)) 5. ==[ beta ]==> ((^y.(^z.z))((a b) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((a b) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76382/6421719. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^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. ------ 76383/6421746. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^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. ------ 76384/6421935. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (^y.b))) REDUCED to normal form. ------ 76385/6421962. ------ 1. ==[ start ]==> ((a (b a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))(a (^x.(a a)))) REDUCED to normal form. ------ 76386/6422196. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a) a) b)) REDUCED to normal form. ------ 76387/6422322. ------ 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. ------ 76388/6422385. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 76389/6422403. ------ 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 (^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. ------ 76390/6422412. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^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. ------ 76391/6422511. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)((a a) a))) REDUCED to normal form. ------ 76392/6422529. ------ 1. ==[ start ]==> (((a a)(b a))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(b a))(a (^x.b))) REDUCED to normal form. ------ 76393/6422583. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(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)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 76394/6422610. ------ 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. ------ 76395/6422637. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.a)(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(a (a a)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 76396/6422664. ------ 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.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. ------ 76397/6422691. ------ 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. ------ 76398/6422745. ------ 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))(^y1.(^z1.z1)))) 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. ------ 76399/6422799. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 76400/6422889. ------ 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.x1))(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> ((a a)(((^z.z)(^x1.x1))(a a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^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. ------ 76401/6422970. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 76402/6423087. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.a))) REDUCED to normal form. ------ 76403/6423114. ------ 1. ==[ start ]==> (((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 y1)))) REDUCED to normal form. ------ 76404/6423195. ------ 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. ------ 76405/6423222. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a) c)) 5. ==[ beta ]==> ((^y.b)(((^z.z) a) c)) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 76406/6423267. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 76407/6423303. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 76408/6423330. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(b b)) REDUCED to normal form. ------ 76409/6423375. ------ 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))((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. ------ 76410/6423402. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 76411/6423420. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 76412/6423447. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a)(a a))) REDUCED to normal form. ------ 76413/6423474. ------ 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)))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 76414/6423501. ------ 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))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 76415/6423528. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 76416/6423555. ------ 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))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^y.y))) 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. ------ 76417/6423582. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)(^a.(^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. ------ 76418/6423609. ------ 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))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 76419/6423636. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(z z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 76420/6423681. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 76421/6423717. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.a))) 3. ==[ beta ]==> ((a b)(b (^y.a))) 4. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 76422/6423726. ------ 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)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 76423/6423888. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (a (^z.z)))) 3. ==[ beta ]==> (b (b (a (^z.z)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 76424/6424005. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 76425/6424032. ------ 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. ------ 76426/6424050. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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. ------ 76427/6424059. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 76428/6424077. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(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. ------ 76429/6424086. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a) b)) REDUCED to normal form. ------ 76430/6424131. ------ 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)(^y.y))((a a)(^y.y)))((a a)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 76431/6424167. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.z))) 5. ==[ beta ]==> ((^y.(a a))((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.(a a))((a a)(^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76432/6424194. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a) a)) REDUCED to normal form. ------ 76433/6424212. ------ 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))) REDUCED to normal form. ------ 76434/6424221. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y) a)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 76435/6424247. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.((x x)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((x x)(^y.(^z.z)))) REDUCED to normal form. ------ 76436/6424248. ------ 1. ==[ start ]==> (a (((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 76437/6430428. ------ 1. ==[ start ]==> (((a b)(^c.a)) d) 2. ==[ alpha ]==> (((a b)(^x.a)) d) REDUCED to normal form. ------ 76438/6430455. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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) REDUCED to normal form. ------ 76439/6430461. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a))(^b.(^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. ------ 76440/6430470. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76441/6430488. ------ 1. ==[ start ]==> ((^a.(a a))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(x x))((a b)(^y.a))) 3. ==[ beta ]==> (((a b)(^y.a))((a b)(^y.a))) 4. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 76442/6430515. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 76443/6430551. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76444/6430662. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)(a (^y.y)))(^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. ------ 76445/6430713. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a)))(^a.(^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. ------ 76446/6430956. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^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. ------ 76447/6431280. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76448/6431406. ------ 1. ==[ start ]==> ((^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 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. ------ 76449/6432351. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.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. ------ 76450/6433254. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((a a)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((a a)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((a a)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((a a)(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a)(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(^z.((a a)(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 11. ==[ beta ]==> (^y.((a a)(^z.z))) 12. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 76451/6433956. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 76452/6434925. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (^y1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 76453/6435108. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 76454/6435720. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 76455/6435816. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76456/6435945. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 76457/6436131. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76458/6436170. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 76459/6436413. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 76460/6436467. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 76461/6436476. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.c)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.c)) REDUCED to normal form. ------ 76462/6436611. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.b)) REDUCED to normal form. ------ 76463/6436629. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(^a.a))) 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. ------ 76464/6436638. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 76465/6436665. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 76466/6436677. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)(((^x.x)(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. ------ 76467/6436686. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 76468/6436704. ------ 1. ==[ start ]==> ((a (a a))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (a a))((a b)(^x.a))) REDUCED to normal form. ------ 76469/6436713. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 76470/6436731. ------ 1. ==[ start ]==> ((a b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a b)(((a a) a)(^x.b))) REDUCED to normal form. ------ 76471/6436767. ------ 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)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 76472/6436821. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76473/6436848. ------ 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 (^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. ------ 76474/6436875. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^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. ------ 76475/6436902. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76476/6436929. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a)))(^a.(^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. ------ 76477/6436947. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b a) c)) REDUCED to normal form. ------ 76478/6437010. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 76479/6437037. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 76480/6437091. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(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. ------ 76481/6437172. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^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. ------ 76482/6437217. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 76483/6437244. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 76484/6437262. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 76485/6437343. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a b)((^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. ------ 76486/6437370. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 76487/6437397. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(a b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a b))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 76488/6437424. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a (a a))(a a))) REDUCED to normal form. ------ 76489/6437451. ------ 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. ------ 76490/6437478. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 76491/6437496. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 76492/6437541. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 76493/6437568. ------ 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. ------ 76494/6437595. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 76495/6437622. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 76496/6437631. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 76497/6437658. ------ 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)(^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. ------ 76498/6437712. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a b))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 7. ==[ beta ]==> ((^y.(^z.z))(a b)) 8. ==[ alpha ]==> ((^x.(^y.y))(a b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76499/6437766. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 7. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 76500/6437793. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^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. ------ 76501/6437847. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^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. ------ 76502/6438180. ------ 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. ------ 76503/6438207. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(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. ------ 76504/6438261. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 76505/6438288. ------ 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)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((a a) a))) 7. ==[ beta ]==> ((a (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 76506/6438315. ------ 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. ------ 76507/6438342. ------ 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.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76508/6438369. ------ 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)(^z.z)))) REDUCED to normal form. ------ 76509/6438432. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(^z.z))) REDUCED to normal form. ------ 76510/6438459. ------ 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.(^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. ------ 76511/6438486. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a 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. ------ 76512/6438513. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 76513/6438540. ------ 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. ------ 76514/6438567. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a (a b))(^y.a)) 6. ==[ alpha ]==> ((a (a b))(^x.a)) REDUCED to normal form. ------ 76515/6438576. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76516/6438657. ------ 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.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. ------ 76517/6438738. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a))(^a.(^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. ------ 76518/6438765. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(a a))(^b.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. ------ 76519/6438792. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 76520/6438846. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.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. ------ 76521/6438927. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^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. ------ 76522/6438936. ------ 1. ==[ start ]==> (((a b)(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 76523/6439026. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a)) c)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a)) c)) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a)) c)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) c)) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 76524/6439125. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)((a (a a))((a a) a))) 3. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 76525/6439170. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(c (^z.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(c (^y.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76526/6439197. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 76527/6439251. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(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. ------ 76528/6439332. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 76529/6439386. ------ 1. ==[ start ]==> (((^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) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.(y y))((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((a a) a))) 7. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 76530/6439413. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.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. ------ 76531/6439467. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)((a a)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((a a)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((a a)(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((a a)(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((^z.z)((a a)(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 11. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 12. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 13. ==[ beta ]==> ((a a)(^y.y)) 14. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 76532/6439548. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b)(^b.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. ------ 76533/6439755. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(a a)) b)) 3. ==[ beta ]==> ((((a a) a) a)((^y.(a a)) b)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(a a)) b)) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 76534/6439773. ------ 1. ==[ start ]==> (((^a.b) c)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 76535/6439782. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b) c)) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 76536/6440007. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 76537/6440088. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 11. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 12. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 76538/6440115. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^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. ------ 76539/6440169. ------ 1. ==[ start ]==> (((^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)))) 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. ------ 76540/6440250. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) 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. ------ 76541/6440403. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 76542/6440430. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.b) b)) 3. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 76543/6440682. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^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. ------ 76544/6440763. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 76545/6440871. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^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. ------ 76546/6440898. ------ 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 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. ------ 76547/6440934. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(c (^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.y))) REDUCED to normal form. ------ 76548/6440952. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))(^c.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. ------ 76549/6440961. ------ 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. ------ 76550/6441015. ------ 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. ------ 76551/6441042. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 76552/6441069. ------ 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.z) a))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.a))((a (a a)) a)) REDUCED to normal form. ------ 76553/6441096. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a (a a)))) REDUCED to normal form. ------ 76554/6441141. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.a))) REDUCED to normal form. ------ 76555/6441186. ------ 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) a)(^z.z))) REDUCED to normal form. ------ 76556/6441213. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^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)))) 9. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 10. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 76557/6441240. ------ 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. ------ 76558/6441267. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)(a (^y.(y y)))) 8. ==[ alpha ]==> (((a a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 76559/6441294. ------ 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 (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 76560/6441321. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.a))) REDUCED to normal form. ------ 76561/6441348. ------ 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)) 5. ==[ beta ]==> (((a a) a)(((a a) a) a)) REDUCED to normal form. ------ 76562/6441375. ------ 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)(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^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. ------ 76563/6441438. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76564/6441600. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> (b (c (^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 76565/6441708. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 76566/6441735. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 76567/6441762. ------ 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)((^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. ------ 76568/6441816. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.x1))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.z))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 76569/6441897. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 76570/6441906. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 76571/6441933. ------ 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.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 76572/6441960. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a))(a a))) REDUCED to normal form. ------ 76573/6442014. ------ 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)))(^z.z))((a (^x1.x1)) a)) REDUCED to normal form. ------ 76574/6442032. ------ 1. ==[ start ]==> ((a (^b.b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 76575/6442077. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a))(^y.y))) REDUCED to normal form. ------ 76576/6442104. ------ 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. ------ 76577/6442131. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (^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))) REDUCED to normal form. ------ 76578/6442158. ------ 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 z)))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 76579/6442185. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 76580/6442212. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a) b)) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a) b)) 5. ==[ beta ]==> (((a b)(^x.x))(a b)) REDUCED to normal form. ------ 76581/6442311. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^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. ------ 76582/6442320. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 76583/6442347. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 76584/6442356. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 76585/6442383. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a (^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(a (^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 76586/6442518. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a))(^a.(^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. ------ 76587/6442626. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 76588/6442635. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c a)) REDUCED to normal form. ------ 76589/6442662. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b b)) 2. ==[ alpha ]==> ((((^x.x) b) a)(b b)) 3. ==[ beta ]==> ((b a)(b b)) REDUCED to normal form. ------ 76590/6442680. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)(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. ------ 76591/6442689. ------ 1. ==[ start ]==> (((a a)(^b.b))(a c)) 2. ==[ alpha ]==> (((a a)(^x.x))(a c)) REDUCED to normal form. ------ 76592/6442707. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 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. ------ 76593/6442716. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (a a))) REDUCED to normal form. ------ 76594/6442761. ------ 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)(^y.y))((a a)(^y.y)))(b (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 76595/6442797. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b a)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b a)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b a)) 5. ==[ beta ]==> ((^y.(a a))(b a)) 6. ==[ alpha ]==> ((^x.(a a))(b a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76596/6442824. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a b)) REDUCED to normal form. ------ 76597/6442842. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^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. ------ 76598/6442851. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (a a))) REDUCED to normal form. ------ 76599/6442878. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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)) REDUCED to normal form. ------ 76600/6446805. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(a b))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(a b))) 3. ==[ eta ]==> (b (^y.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 76601/6449094. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a))) b) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z))) b) 3. ==[ beta ]==> (((a a)(^y.(^z.z))) b) 4. ==[ alpha ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 76602/6449118. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))(^b.(^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. ------ 76603/6449199. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76604/6449319. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 76605/6449361. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 76606/6449652. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^z.b)) REDUCED to normal form. ------ 76607/6449703. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((b a)(a (^y.y)))) 3. ==[ beta ]==> (((b a)(a (^y.y)))(((b a)(a (^y.y)))((b a)(a (^y.y))))) 4. ==[ alpha ]==> (((b a)(a (^x.x)))(((b a)(a (^y.y)))((b a)(a (^z.z))))) REDUCED to normal form. ------ 76608/6450264. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(a (^a.(^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))))) REDUCED to normal form. ------ 76609/6451407. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(b x))) 3. ==[ eta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 76610/6451593. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(a b))(((^z.z) a)(a b)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(a b))(((^z.z) a)(a b)))) 5. ==[ beta ]==> ((((^y.y) a)(a b))(((^z.z) a)(a b))) 6. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)(a b))) 7. ==[ beta ]==> ((a (a b))(((^y.y) a)(a b))) 8. ==[ alpha ]==> ((a (a b))(((^x.x) a)(a b))) 9. ==[ beta ]==> ((a (a b))(a (a b))) REDUCED to normal form. ------ 76611/6451911. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 76612/6452163. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((y y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.((y y)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 76613/6452268. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))(a (a a)))(((^z.z)(^x1.x1))(a (a a))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a (a a))))(^y1.y1)) 5. ==[ beta ]==> ((((^y.y)(a (a a)))(((^z.z)(^x1.x1))(a (a a))))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.x)(a (a a)))(((^y.y)(^z.z))(a (a a))))(^x1.x1)) 7. ==[ beta ]==> (((a (a a))(((^y.y)(^z.z))(a (a a))))(^x1.x1)) 8. ==[ alpha ]==> (((a (a a))(((^x.x)(^y.y))(a (a a))))(^z.z)) 9. ==[ beta ]==> (((a (a a))((^y.y)(a (a a))))(^z.z)) 10. ==[ alpha ]==> (((a (a a))((^x.x)(a (a a))))(^y.y)) 11. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 12. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 76614/6452838. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 76615/6453024. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(a b))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(a b))) 3. ==[ eta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 76616/6453027. ------ 1. ==[ start ]==> ((a (b a))(^c.(a b))) 2. ==[ alpha ]==> ((a (b a))(^x.(a b))) REDUCED to normal form. ------ 76617/6453594. ------ 1. ==[ start ]==> (((a a)(b a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((a a) a))) REDUCED to normal form. ------ 76618/6454368. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 76619/6454779. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76620/6455061. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 76621/6455070. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.z))) REDUCED to normal form. ------ 76622/6455115. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(^a.(^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. ------ 76623/6455124. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 76624/6455232. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(^a.(^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. ------ 76625/6455259. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 76626/6455277. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 76627/6455286. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 76628/6455313. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.(^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. ------ 76629/6455343. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a))(^b.(^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. ------ 76630/6455352. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 76631/6455370. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)(^c.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. ------ 76632/6455379. ------ 1. ==[ start ]==> (((a a) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a) a)((^x.b)((a a) a))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 76633/6455397. ------ 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. ------ 76634/6455424. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 76635/6455433. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^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. ------ 76636/6455460. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 76637/6455487. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(b a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(b a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 76638/6455505. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((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. ------ 76639/6455514. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^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. ------ 76640/6455532. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((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. ------ 76641/6455541. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 76642/6455559. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 76643/6455568. ------ 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 (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 76644/6455586. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 76645/6455703. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 76646/6455757. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 76647/6455847. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (a (^a.(^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. ------ 76648/6455874. ------ 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 (^y.y)))(a b)) REDUCED to normal form. ------ 76649/6455901. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.(^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))) REDUCED to normal form. ------ 76650/6455928. ------ 1. ==[ start ]==> ((a (a (a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((b a)(a (^x.x)))) REDUCED to normal form. ------ 76651/6455964. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 76652/6456171. ------ 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. ------ 76653/6456288. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76654/6456315. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 76655/6456369. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.b))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 9. ==[ beta ]==> ((^y.y)(^z.b)) 10. ==[ alpha ]==> ((^x.x)(^y.b)) 11. ==[ beta ]==> (^y.b) 12. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 76656/6456378. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 76657/6456405. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (a ((^y.(y y))((^z.z)(a a)))) 6. ==[ alpha ]==> (a ((^x.(x x))((^y.y)(a a)))) 7. ==[ beta ]==> (a (((^y.y)(a a))((^y.y)(a a)))) 8. ==[ alpha ]==> (a (((^x.x)(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. ------ 76658/6456432. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.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. ------ 76659/6456459. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^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. ------ 76660/6456486. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(a (^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. ------ 76661/6456504. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 76662/6456513. ------ 1. ==[ start ]==> (((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))) 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. ------ 76663/6456801. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> (a ((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z))) a)) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 76664/6457062. ------ 1. ==[ start ]==> (((a a)((a a) a))((a a)(b a))) REDUCED to normal form. ------ 76665/6457215. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 76666/6457233. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76667/6457395. ------ 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 a)(^z.z)) b)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) b)) REDUCED to normal form. ------ 76668/6457404. ------ 1. ==[ start ]==> (((a b) a)((^c.(^a.a))(^a.(^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. ------ 76669/6457422. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 76670/6457431. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 76671/6457485. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 76672/6457512. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^x1.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. ------ 76673/6457539. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 76674/6457566. ------ 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. ------ 76675/6457593. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^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. ------ 76676/6457629. ------ 1. ==[ start ]==> (((a a)(a b))(a (b a))) REDUCED to normal form. ------ 76677/6457656. ------ 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. ------ 76678/6457683. ------ 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))(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(a (^z.z)))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 76679/6457710. ------ 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. ------ 76680/6457737. ------ 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. ------ 76681/6457764. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^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. ------ 76682/6457791. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 76683/6457818. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(a b))) 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. ------ 76684/6457908. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.z1))) 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. ------ 76685/6457989. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 76686/6457998. ------ 1. ==[ start ]==> (((a b) b)((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 76687/6458025. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 76688/6458052. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 76689/6458070. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 76690/6458079. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.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. ------ 76691/6458133. ------ 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)(^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. ------ 76692/6458187. ------ 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 a)) REDUCED to normal form. ------ 76693/6458205. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 76694/6458214. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 76695/6458358. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(b (a a))) REDUCED to normal form. ------ 76696/6458385. ------ 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. ------ 76697/6458412. ------ 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. ------ 76698/6458439. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 76699/6458466. ------ 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. ------ 76700/6458493. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 76701/6458664. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 76702/6458673. ------ 1. ==[ start ]==> (((a b) c)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 76703/6458700. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 76704/6458727. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 76705/6458745. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (a a))(^b.(^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. ------ 76706/6458781. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 76707/6458808. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 76708/6458826. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 76709/6458862. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76710/6458889. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 76711/6458907. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 76712/6458916. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 76713/6458943. ------ 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 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. ------ 76714/6458970. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 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. ------ 76715/6459033. ------ 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. ------ 76716/6459060. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 76717/6459087. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b)(a a))) REDUCED to normal form. ------ 76718/6459114. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(a (^z.z)))) 7. ==[ beta ]==> ((^y.y)(((a a) a)(a (^z.z)))) 8. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 9. ==[ beta ]==> (((a a) a)(a (^y.y))) 10. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 76719/6459141. ------ 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. ------ 76720/6459168. ------ 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. ------ 76721/6459195. ------ 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)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 76722/6459222. ------ 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))) REDUCED to normal form. ------ 76723/6459249. ------ 1. ==[ start ]==> ((a (b a))((a a)(a b))) REDUCED to normal form. ------ 76724/6459339. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> (b ((^y.y)(^z.a))) 8. ==[ alpha ]==> (b ((^x.x)(^y.a))) 9. ==[ beta ]==> (b (^y.a)) 10. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 76725/6459420. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((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. ------ 76726/6459483. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 76727/6459528. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> ((b a)(((^x.x)(^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. ------ 76728/6459591. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)(^b.(^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. ------ 76729/6459618. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))(^c.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. ------ 76730/6459690. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.a) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 76731/6459816. ------ 1. ==[ start ]==> (((a a)(b a))((a a)((a a) a))) REDUCED to normal form. ------ 76732/6460077. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^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. ------ 76733/6460176. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a) a)) 5. ==[ beta ]==> ((a a)((^z.a) a)) 6. ==[ alpha ]==> ((a a)((^x.a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 76734/6460365. ------ 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))(^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. ------ 76735/6460374. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 76736/6460392. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 76737/6460401. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 76738/6460419. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 76739/6460473. ------ 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 ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z)) a)) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z)) a)) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y)) a)) 9. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 10. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 11. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 76740/6460482. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(^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. ------ 76741/6460509. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 76742/6460563. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^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. ------ 76743/6460590. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 76744/6460662. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 76745/6460707. ------ 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. ------ 76746/6460923. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b ((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b ((^y.y) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(b a)) REDUCED to normal form. ------ 76747/6460977. ------ 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))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a (a a))) REDUCED to normal form. ------ 76748/6461004. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 76749/6461013. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 76750/6461175. ------ 1. ==[ start ]==> (((^a.b)(^c.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)) REDUCED to normal form. ------ 76751/6461292. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.a))) REDUCED to normal form. ------ 76752/6461319. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^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. ------ 76753/6461337. ------ 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. ------ 76754/6461346. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 76755/6461364. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1)) 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. ------ 76756/6461373. ------ 1. ==[ start ]==> (((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))) 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. ------ 76757/6461418. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1)) 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. ------ 76758/6461454. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a (^a.(^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. ------ 76759/6461481. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 76760/6461499. ------ 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)) REDUCED to normal form. ------ 76761/6461508. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(^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. ------ 76762/6461535. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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))) REDUCED to normal form. ------ 76763/6467760. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a))) c) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z))) c) 3. ==[ beta ]==> (((a a)(^y.(^z.z))) c) 4. ==[ alpha ]==> (((a a)(^x.(^y.y))) c) REDUCED to normal form. ------ 76764/6467811. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))((^z.z)(^x1.x1)))((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a a)((^x1.(a a))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 76765/6467838. ------ 1. ==[ start ]==> ((^a.b)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.b)((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 76766/6467919. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^z.(z z))((a a)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.z)) 5. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 76767/6468327. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 76768/6468603. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76769/6468651. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 76770/6468939. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 76771/6469161. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((((^y.(y y))(^z.(a a)))((^y.(y y))(^z.(a a))))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.(a a))))((^y1.(y1 y1))(^z1.(a a)))) 5. ==[ beta ]==> ((((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a))))((^y1.(y1 y1))(^z1.(a a)))) 6. ==[ alpha ]==> ((((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a))))((^y1.(y1 y1))(^z1.(a a)))) 7. ==[ beta ]==> (((a a)((^z.(z z))(^x1.(a a))))((^y1.(y1 y1))(^z1.(a a)))) 8. ==[ alpha ]==> (((a a)((^x.(x x))(^y.(a a))))((^z.(z z))(^x1.(a a)))) 9. ==[ beta ]==> (((a a)((^y.(a a))(^y.(a a))))((^z.(z z))(^x1.(a a)))) 10. ==[ alpha ]==> (((a a)((^x.(a a))(^y.(a a))))((^z.(z z))(^x1.(a a)))) 11. ==[ beta ]==> (((a a)(a a))((^z.(z z))(^x1.(a a)))) 12. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(a a)))) 13. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^y.(a a)))) 14. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(a a)))) 15. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 76772/6469254. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> (a (^z.(z (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 76773/6469494. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 76774/6469542. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 76775/6469674. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)((^z.z)(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.a)((^y.y)(^z.z))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 76776/6470061. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.((b ((a a)(^z.z)))(b ((a a)(^z.z))))) 4. ==[ alpha ]==> (^x.((b ((a a)(^y.y)))(b ((a a)(^z.z))))) REDUCED to normal form. ------ 76777/6470586. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 76778/6470838. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(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. ------ 76779/6471513. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 76780/6471699. ------ 1. ==[ start ]==> ((^a.(b a))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(b x))(b (^y.b))) 3. ==[ eta ]==> (b (b (^y.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 76781/6472248. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 76782/6472296. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 76783/6472458. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.((a a) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((a a) a))) 5. ==[ beta ]==> (((a a) a)(^y.((a a) a))) 6. ==[ alpha ]==> (((a a) a)(^x.((a a) a))) REDUCED to normal form. ------ 76784/6472536. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^x1.(x1 x1))(^y1.a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.x1))) 7. ==[ beta ]==> (a (^z.(^x1.x1))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 76785/6472629. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.((z z) z))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.((z z) z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.((z z) z))) 5. ==[ beta ]==> ((a a)(^z.((z z) z))) 6. ==[ alpha ]==> ((a a)(^x.((x x) x))) REDUCED to normal form. ------ 76786/6473139. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76787/6473187. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 76788/6473295. ------ 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. ------ 76789/6473454. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76790/6473745. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.c)) REDUCED to normal form. ------ 76791/6473799. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 76792/6473871. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 76793/6473907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.b)) 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)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76794/6473934. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 76795/6473952. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 76796/6473961. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.a)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 76797/6473988. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 76798/6474036. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(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)))) 5. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 76799/6474045. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 76800/6474063. ------ 1. ==[ start ]==> (((a a) a)((a b)(^c.a))) 2. ==[ alpha ]==> (((a a) a)((a b)(^x.a))) REDUCED to normal form. ------ 76801/6474072. ------ 1. ==[ start ]==> ((a b)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a b)((^x.b)((a a) a))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 76802/6474090. ------ 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. ------ 76803/6474117. ------ 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 ((^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. ------ 76804/6474126. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^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))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 76805/6474153. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 76806/6474198. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 76807/6474225. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 76808/6474252. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 76809/6474288. ------ 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. ------ 76810/6474306. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 76811/6474531. ------ 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) 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. ------ 76812/6474558. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 76813/6474603. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 76814/6474621. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.(y y))((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))((b a)(a (^y.y)))) 5. ==[ beta ]==> (((b a)(a (^y.y)))((b a)(a (^y.y)))) 6. ==[ alpha ]==> (((b a)(a (^x.x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 76815/6474648. ------ 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))((^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. ------ 76816/6474702. ------ 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 ]==> (((^y.y)(^y.y))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a b)((^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. ------ 76817/6474729. ------ 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. ------ 76818/6474756. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 76819/6474810. ------ 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)(a a))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 76820/6474837. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 76821/6474855. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 76822/6474882. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a (^b.b))) 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. ------ 76823/6474909. ------ 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. ------ 76824/6474927. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a)(^a.(^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. ------ 76825/6475062. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a (a a)) b)(^y.b)) 6. ==[ alpha ]==> (((a (a a)) b)(^x.b)) REDUCED to normal form. ------ 76826/6475089. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a (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. ------ 76827/6475116. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(^c.(^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. ------ 76828/6475170. ------ 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. ------ 76829/6475197. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 76830/6475224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((b a) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a) b)) 5. ==[ beta ]==> ((^y.y)((b a) b)) 6. ==[ alpha ]==> ((^x.x)((b a) b)) 7. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 76831/6475287. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 76832/6475314. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 76833/6475368. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.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. ------ 76834/6475395. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 76835/6475431. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c ((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c ((a a)(^y.y)))) 5. ==[ beta ]==> (c ((a a)(^y.y))) 6. ==[ alpha ]==> (c ((a a)(^x.x))) REDUCED to normal form. ------ 76836/6475485. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a (a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (a (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 76837/6475566. ------ 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))) 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. ------ 76838/6475593. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((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. ------ 76839/6475647. ------ 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)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 76840/6475728. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 76841/6475773. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 76842/6475854. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 76843/6475881. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 76844/6475899. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 76845/6475908. ------ 1. ==[ start ]==> ((a (a b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 76846/6476061. ------ 1. ==[ start ]==> ((((a a) a) b)((b a) a)) REDUCED to normal form. ------ 76847/6476088. ------ 1. ==[ start ]==> (((a b) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b) a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 76848/6476115. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.b))((a a) c)) REDUCED to normal form. ------ 76849/6476268. ------ 1. ==[ start ]==> (((^a.b)(a a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (b (c ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 76850/6476295. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 76851/6476511. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76852/6476538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1)(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. ------ 76853/6476682. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 76854/6476709. ------ 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.(^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)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 76855/6476736. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))(^y.a))) REDUCED to normal form. ------ 76856/6476763. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.b))) REDUCED to normal form. ------ 76857/6476817. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 76858/6476844. ------ 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)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z)) a)) 5. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z)) a)) 6. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y)) a)) 7. ==[ beta ]==> ((((a a)(^y.y)) a)(((a a)(^y.y)) a)) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 76859/6476871. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a) b)) REDUCED to normal form. ------ 76860/6476898. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 76861/6476961. ------ 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.(^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. ------ 76862/6476988. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 76863/6477015. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.b))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 76864/6477042. ------ 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.(^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. ------ 76865/6477114. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(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 a)) REDUCED to normal form. ------ 76866/6477213. ------ 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))((^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. ------ 76867/6477357. ------ 1. ==[ start ]==> (((a b) c)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 76868/6477384. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a)(^b.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. ------ 76869/6477411. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(z z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 76870/6477465. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.a))) REDUCED to normal form. ------ 76871/6477492. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 76872/6477546. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a)) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(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. ------ 76873/6477573. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b) b)) REDUCED to normal form. ------ 76874/6477600. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a) c)) REDUCED to normal form. ------ 76875/6477690. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 76876/6477717. ------ 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.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 76877/6477744. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 76878/6477933. ------ 1. ==[ start ]==> ((a (b a))(b (^a.b))) 2. ==[ alpha ]==> ((a (b a))(b (^x.b))) REDUCED to normal form. ------ 76879/6478167. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b) a)) REDUCED to normal form. ------ 76880/6478293. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b)(a b))(c (^y.y))) 6. ==[ alpha ]==> (((a b)(a b))(c (^x.x))) REDUCED to normal form. ------ 76881/6478356. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 76882/6478374. ------ 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))) REDUCED to normal form. ------ 76883/6478383. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a) b)) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 76884/6478410. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^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. ------ 76885/6478482. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 76886/6478500. ------ 1. ==[ start ]==> (((a a)(b a))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(b a))(b (^x.a))) REDUCED to normal form. ------ 76887/6478527. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 76888/6478581. ------ 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. ------ 76889/6478608. ------ 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 z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y) a))) 7. ==[ beta ]==> (((a a) a)(((^y.y) a)((^y.y) a))) 8. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> (((a a) a)(a ((^y.y) a))) 10. ==[ alpha ]==> (((a a) a)(a ((^x.x) a))) 11. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 76890/6478635. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 76891/6478662. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))((^z.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. ------ 76892/6478689. ------ 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)((a a) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 76893/6478770. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 76894/6478860. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a ((a a) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a ((a a) a))) 5. ==[ beta ]==> ((a a)(a ((a a) a))) REDUCED to normal form. ------ 76895/6478941. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (b (((^x1.x1) a)((^y1.y1) 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. ------ 76896/6479058. ------ 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. ------ 76897/6479085. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.a))) REDUCED to normal form. ------ 76898/6479103. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c d)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c d)) 3. ==[ beta ]==> ((^y.y)(c d)) 4. ==[ alpha ]==> ((^x.x)(c d)) 5. ==[ beta ]==> (c d) REDUCED to normal form. ------ 76899/6479166. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 76900/6479193. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a)) b)) 5. ==[ beta ]==> ((^y.b)((a (a a)) b)) 6. ==[ alpha ]==> ((^x.b)((a (a a)) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 76901/6479238. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c ((^x1.x1) a))) 3. ==[ beta ]==> (b (c ((^x1.x1) a))) 4. ==[ alpha ]==> (b (c ((^x.x) a))) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 76902/6479301. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1)) 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. ------ 76903/6479346. ------ 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. ------ 76904/6479355. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 76905/6479373. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 76906/6479391. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (^z.(z z)))) REDUCED to normal form. ------ 76907/6479418. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 76908/6479445. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 76909/6479472. ------ 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)))) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 76910/6479499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 76911/6479526. ------ 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. ------ 76912/6479553. ------ 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))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 76913/6479580. ------ 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.(^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. ------ 76914/6479607. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a))(^b.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. ------ 76915/6479652. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 76916/6479688. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 76917/6479697. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(a (^a.a)))) 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))) REDUCED to normal form. ------ 76918/6479724. ------ 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)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 76919/6479859. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 76920/6479967. ------ 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. ------ 76921/6479976. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) c) REDUCED to normal form. ------ 76922/6480003. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 76923/6480021. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(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. ------ 76924/6480030. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 76925/6480057. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1)) a)) REDUCED to normal form. ------ 76926/6480102. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 76927/6480138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z) b)) 5. ==[ beta ]==> ((^y.(a a))((^z.z) b)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76928/6480165. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 76929/6480183. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 76930/6480192. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((a a) a)) REDUCED to normal form. ------ 76931/6480219. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a) 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. ------ 76932/6480245. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 76933/6480246. ------ 1. ==[ start ]==> (a (((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 76934/6486480. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a))) a) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 76935/6486486. ------ 1. ==[ start ]==> ((^a.a)(((a a)(^a.a))(^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))) REDUCED to normal form. ------ 76936/6486513. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 76937/6486540. ------ 1. ==[ start ]==> ((^a.b)((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.b)((a b)(^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 76938/6486714. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.((^a.a) b))) 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)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76939/6486738. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.((^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. ------ 76940/6487080. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1))) b)(((^y.(^z.(^x1.x1))) b)((^y.(^z.(^x1.x1))) b))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.(^y1.(^z1.z1))) b)((^x2.(^y2.(^z2.z2))) b))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.(^y1.(^z1.z1))) b)((^x2.(^y2.(^z2.z2))) b))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.(^y1.y1))) b)((^z1.(^x2.(^y2.y2))) b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76941/6487305. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76942/6487431. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(^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. ------ 76943/6487659. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 76944/6487956. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a (^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 76945/6488196. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 76946/6488376. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^y.(^z.z))) b) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 76947/6488763. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^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. ------ 76948/6490827. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 76949/6491331. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(^c.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. ------ 76950/6491628. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(^x.(^z.z))) 10. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 76951/6491772. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.((^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))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 76952/6491841. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76953/6492123. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 76954/6492156. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76955/6492447. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 76956/6492519. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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))) REDUCED to normal form. ------ 76957/6492573. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(^a.(^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. ------ 76958/6492609. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.(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. ------ 76959/6492654. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(a a))) 3. ==[ beta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 76960/6492663. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.b)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.b)) REDUCED to normal form. ------ 76961/6492690. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 76962/6492717. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 76963/6492729. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 76964/6492756. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(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. ------ 76965/6492765. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(a a))((^a.a)(^a.a)))) 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 a) REDUCED to normal form. ------ 76966/6492783. ------ 1. ==[ start ]==> ((a b)((a b)(^c.a))) 2. ==[ alpha ]==> ((a b)((a b)(^x.a))) REDUCED to normal form. ------ 76967/6492792. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b)((a a) a))) 3. ==[ beta ]==> ((a a)((^y.b)((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.b)((a a) a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 76968/6492837. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^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. ------ 76969/6492873. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76970/6492900. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 76971/6492927. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^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. ------ 76972/6492954. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 76973/6492981. ------ 1. ==[ start ]==> ((a (^b.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 76974/6492999. ------ 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. ------ 76975/6493026. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a) c)) REDUCED to normal form. ------ 76976/6493062. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.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)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 76977/6493089. ------ 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.(^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. ------ 76978/6493170. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 76979/6493296. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y) 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. ------ 76980/6493314. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((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))) REDUCED to normal form. ------ 76981/6493323. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 76982/6493395. ------ 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. ------ 76983/6493422. ------ 1. ==[ start ]==> (((a (a a)) a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a b)((^x.x)(^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. ------ 76984/6493449. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 76985/6493476. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(a b)) REDUCED to normal form. ------ 76986/6493503. ------ 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)(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. ------ 76987/6493530. ------ 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)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 76988/6493548. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 76989/6493620. ------ 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. ------ 76990/6493647. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 76991/6493674. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 76992/6493683. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 76993/6493710. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 76994/6493818. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 9. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 10. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 11. ==[ beta ]==> ((a a)((^y.y)(a a))) 12. ==[ alpha ]==> ((a a)((^x.x)(a a))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 76995/6493845. ------ 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)(^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 REDUCED to normal form. ------ 76996/6493899. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 76997/6494142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.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. ------ 76998/6494196. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a ((^z.z)(^x1.(^y1.(^z1.z1))))) 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. ------ 76999/6494232. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b a)(a a))) 3. ==[ beta ]==> (((^y.y) b)((b a)(a a))) 4. ==[ alpha ]==> (((^x.x) b)((b a)(a a))) 5. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 77000/6494259. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 77001/6494313. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(a (a a)))) REDUCED to normal form. ------ 77002/6494340. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 77003/6494367. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (a a))(^x.a))((a a) a)) REDUCED to normal form. ------ 77004/6494394. ------ 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. ------ 77005/6494421. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (a a))) REDUCED to normal form. ------ 77006/6494439. ------ 1. ==[ start ]==> ((a (^a.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 77007/6494511. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((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. ------ 77008/6494538. ------ 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.(^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. ------ 77009/6494565. ------ 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.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.a))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 77010/6494592. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 77011/6494619. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 77012/6494628. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77013/6494709. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)((^x1.x1)(a a)))) IRREDUCIBLE: cycle. ------ 77014/6494817. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a))(^a.(^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. ------ 77015/6494844. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(a a))(^b.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. ------ 77016/6494979. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.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. ------ 77017/6494988. ------ 1. ==[ start ]==> (((a b)(^a.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(c (a a))) REDUCED to normal form. ------ 77018/6495006. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^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. ------ 77019/6495105. ------ 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. ------ 77020/6495177. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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 ((^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. ------ 77021/6495249. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 77022/6495384. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 77023/6495438. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 77024/6495465. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 77025/6495519. ------ 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))((^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. ------ 77026/6495600. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a))(^a.(^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. ------ 77027/6495825. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 77028/6495834. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 77029/6495861. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.b) c)) 3. ==[ beta ]==> (((a a)(a a))((^y.b) c)) 4. ==[ alpha ]==> (((a a)(a a))((^x.b) c)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 77030/6496059. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 77031/6496140. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 77032/6496167. ------ 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))((^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. ------ 77033/6496221. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^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. ------ 77034/6496302. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^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. ------ 77035/6496482. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(a a)) a)) 3. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 77036/6496509. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) b)) 7. ==[ beta ]==> ((^y.y)((^z.b) b)) 8. ==[ alpha ]==> ((^x.x)((^y.b) b)) 9. ==[ beta ]==> ((^y.b) b) 10. ==[ alpha ]==> ((^x.b) b) 11. ==[ beta ]==> b REDUCED to normal form. ------ 77037/6496734. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (b ((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 77038/6496815. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 77039/6496923. ------ 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)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 77040/6496950. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 77041/6497004. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)(^b.(^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. ------ 77042/6497013. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(c (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(c (^y.y))) REDUCED to normal form. ------ 77043/6497067. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 77044/6497094. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a) a)(a a))) REDUCED to normal form. ------ 77045/6497121. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^x.a))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 77046/6497148. ------ 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.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a)) a)) REDUCED to normal form. ------ 77047/6497265. ------ 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))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 77048/6497292. ------ 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. ------ 77049/6497319. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a 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. ------ 77050/6497346. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.(z z)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 77051/6497373. ------ 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. ------ 77052/6497427. ------ 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. ------ 77053/6497490. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77054/6497571. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a a)((^z.z)(^x1.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. ------ 77055/6497760. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 77056/6497787. ------ 1. ==[ start ]==> (((^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.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 77057/6497814. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 77058/6497868. ------ 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.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(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))((^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. ------ 77059/6497949. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 77060/6497958. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c ((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(c a)) REDUCED to normal form. ------ 77061/6497985. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (a (a a)))) REDUCED to normal form. ------ 77062/6498012. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 77063/6498066. ------ 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. ------ 77064/6498084. ------ 1. ==[ start ]==> ((a (^b.b))(c (^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(c (^y.a))) REDUCED to normal form. ------ 77065/6498156. ------ 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))(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 77066/6498183. ------ 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)))) 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. ------ 77067/6498210. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 77068/6498237. ------ 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. ------ 77069/6498264. ------ 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)(^y.y))((a (a a)) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 77070/6498291. ------ 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. ------ 77071/6498363. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 77072/6498372. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 77073/6498399. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a) b)) 3. ==[ beta ]==> ((a b)((^y.a) b)) 4. ==[ alpha ]==> ((a b)((^x.a) b)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 77074/6498408. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 77075/6498435. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b (^z1.a))) 3. ==[ beta ]==> ((^y.y)(b (^z1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 77076/6498570. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 77077/6498678. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 77078/6498687. ------ 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. ------ 77079/6498714. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c a)) 2. ==[ alpha ]==> ((((^x.x) b) a)(c a)) 3. ==[ beta ]==> ((b a)(c a)) REDUCED to normal form. ------ 77080/6498732. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^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. ------ 77081/6498741. ------ 1. ==[ start ]==> (((a a)(^b.b))(b b)) 2. ==[ alpha ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 77082/6498759. ------ 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 (^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. ------ 77083/6498813. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 77084/6498849. ------ 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 a) REDUCED to normal form. ------ 77085/6498876. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b a)) REDUCED to normal form. ------ 77086/6498894. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^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. ------ 77087/6498903. ------ 1. ==[ start ]==> (((a b)(^c.a))(a b)) 2. ==[ alpha ]==> (((a b)(^x.a))(a b)) REDUCED to normal form. ------ 77088/6498930. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 77089/6498957. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 77090/6505200. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a))) b) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 77091/6505224. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77092/6505305. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77093/6505452. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 77094/6505467. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) b) a)) 3. ==[ beta ]==> (^y.(((^z.z) b) a)) 4. ==[ alpha ]==> (^x.(((^y.y) b) a)) 5. ==[ beta ]==> (^x.(b a)) REDUCED to normal form. ------ 77095/6505785. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z) b))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y) b))) 5. ==[ beta ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 77096/6505809. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a a))(((a (^y.(^z.z)))(a a))((a (^y.(^z.z)))(a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((a (^z.(^x1.x1)))(a a))((a (^y1.(^z1.z1)))(a a)))) REDUCED to normal form. ------ 77097/6506397. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 77098/6507261. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(b a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(x a))) REDUCED to normal form. ------ 77099/6507540. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(b y))) 3. ==[ eta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 77100/6507699. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a (a a))((a a) a))((a (a a))((a a) a)))) 4. ==[ alpha ]==> ((^x.x)(((a (a a))((a a) a))((a (a a))((a a) a)))) 5. ==[ beta ]==> (((a (a a))((a a) a))((a (a a))((a a) a))) REDUCED to normal form. ------ 77101/6508044. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.((a a)(^z.z)))) 7. ==[ beta ]==> ((^y.((a a)(^z.z)))(^y.((a a)(^z.z)))) 8. ==[ alpha ]==> ((^x.((a a)(^y.y)))(^z.((a a)(^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 77102/6508296. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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)))) REDUCED to normal form. ------ 77103/6508374. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((((a a) a)((^z.z) a))(((a a) a)((^z.z) a)))(^y.y)) 4. ==[ alpha ]==> (((((a a) a)((^x.x) a))(((a a) a)((^y.y) a)))(^z.z)) 5. ==[ beta ]==> (((((a a) a) a)(((a a) a)((^y.y) a)))(^z.z)) 6. ==[ alpha ]==> (((((a a) a) a)(((a a) a)((^x.x) 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. ------ 77104/6508746. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77105/6508971. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^x.(x x))) REDUCED to normal form. ------ 77106/6509130. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))((a a) a))) 3. ==[ eta ]==> (b ((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 77107/6509367. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(a y))) 3. ==[ eta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 77108/6509556. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 77109/6510366. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 77110/6510501. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 77111/6510570. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77112/6510618. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(a (a a)))) REDUCED to normal form. ------ 77113/6510852. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 77114/6510861. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(z (z z)))) REDUCED to normal form. ------ 77115/6510885. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77116/6511203. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.y))) 3. ==[ beta ]==> ((b a)(^y.(^z.y))) 4. ==[ alpha ]==> ((b a)(^x.(^y.x))) REDUCED to normal form. ------ 77117/6511257. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(a (^z1.z1)))) REDUCED to normal form. ------ 77118/6511365. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 77119/6511383. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(^a.a))) 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. ------ 77120/6511392. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 77121/6511419. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 77122/6511446. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 77123/6511476. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 77124/6511503. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(a a))(^b.(^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. ------ 77125/6511512. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 77126/6511530. ------ 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. ------ 77127/6511539. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 77128/6511557. ------ 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. ------ 77129/6511566. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.x) b)((^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. ------ 77130/6511593. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 77131/6511620. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) b)(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 77132/6511647. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(b a))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 77133/6511665. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 77134/6511674. ------ 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 (^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. ------ 77135/6511692. ------ 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)(^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. ------ 77136/6511701. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 77137/6511719. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) b) a)) 3. ==[ beta ]==> ((a (^x.a))(b a)) REDUCED to normal form. ------ 77138/6511755. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.(^a.a)))(^a.(^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. ------ 77139/6511836. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 77140/6511863. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 77141/6511890. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 77142/6511917. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(^b.(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. ------ 77143/6512007. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 77144/6512034. ------ 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))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 77145/6512061. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 77146/6512070. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1))) b)) 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))) b)((^y.(^z.(^x1.x1))) b)) 6. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.(^z1.z1))) b)) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) b)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77147/6512304. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))(b a))) REDUCED to normal form. ------ 77148/6512331. ------ 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 (^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. ------ 77149/6512376. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((b b)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 77150/6512421. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(^a.a))(^b.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. ------ 77151/6512448. ------ 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)(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. ------ 77152/6512511. ------ 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) REDUCED to normal form. ------ 77153/6512538. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a b))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a b))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a b))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 77154/6512556. ------ 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. ------ 77155/6512565. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 77156/6512592. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 77157/6512619. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^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. ------ 77158/6512637. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 77159/6512646. ------ 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 (^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. ------ 77160/6512673. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(^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. ------ 77161/6513195. ------ 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)))) REDUCED to normal form. ------ 77162/6513222. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(b a))) REDUCED to normal form. ------ 77163/6513348. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 77164/6513366. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77165/6513447. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.(a a)))) IRREDUCIBLE: cycle. ------ 77166/6513510. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(b a))) 3. ==[ beta ]==> ((((a a) a) b)(b a)) REDUCED to normal form. ------ 77167/6513528. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((b a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((b a) a)) 3. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 77168/6513555. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 77169/6513564. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a))(^a.(^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. ------ 77170/6513618. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 77171/6513672. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 77172/6513699. ------ 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. ------ 77173/6513726. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.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. ------ 77174/6513762. ------ 1. ==[ start ]==> (((a a)(a b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 77175/6513789. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (b a))) REDUCED to normal form. ------ 77176/6513816. ------ 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)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(a a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 77177/6513843. ------ 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. ------ 77178/6513870. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) a)((a b)((^z.z) a))) 6. ==[ alpha ]==> (((^x.x) a)((a b)((^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. ------ 77179/6513897. ------ 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. ------ 77180/6513924. ------ 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)(^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. ------ 77181/6513951. ------ 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))) 3. ==[ beta ]==> ((a (a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 77182/6514122. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b)(^b.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. ------ 77183/6514131. ------ 1. ==[ start ]==> (((a b) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 77184/6514176. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 77185/6514185. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 77186/6514203. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 77187/6514212. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 77188/6514257. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(a a)))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(a a)))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 11. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 12. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 77189/6514266. ------ 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))((^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. ------ 77190/6514293. ------ 1. ==[ start ]==> ((((^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)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^y.y)((a a)(^z.z)))) 8. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)((a a)(^x1.x1)))) 9. ==[ beta ]==> (((a a)(^y.y))((^z.z)((a a)(^x1.x1)))) 10. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a)(^z.z)))) 11. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 12. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 77191/6514320. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.(^a.a))(^a.a))) 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. ------ 77192/6514338. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^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. ------ 77193/6514347. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(a a))(^a.(^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. ------ 77194/6514374. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b)(^b.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. ------ 77195/6514518. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b ((^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. ------ 77196/6514545. ------ 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)))) 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. ------ 77197/6514572. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 77198/6514599. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a 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. ------ 77199/6514626. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 77200/6514797. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 77201/6514806. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a b) c)((^x.(a a))(a a))) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 77202/6514833. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 77203/6514878. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(z z))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 77204/6514905. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (a a))(^b.(^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. ------ 77205/6514914. ------ 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))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 10. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 77206/6514941. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.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. ------ 77207/6514959. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 77208/6514995. ------ 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.y1)((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1)(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. ------ 77209/6515022. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 77210/6515040. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a b) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 77211/6515049. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 77212/6515103. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 77213/6515193. ------ 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. ------ 77214/6515220. ------ 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. ------ 77215/6515247. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b)(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a a))) 7. ==[ beta ]==> ((^y.y)((a b)(a a))) 8. ==[ alpha ]==> ((^x.x)((a b)(a a))) 9. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 77216/6515274. ------ 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. ------ 77217/6515301. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 77218/6515328. ------ 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. ------ 77219/6515355. ------ 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)((^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)))) 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. ------ 77220/6515382. ------ 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. ------ 77221/6515472. ------ 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. ------ 77222/6515553. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)(^b.(^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. ------ 77223/6515616. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a b)) REDUCED to normal form. ------ 77224/6515661. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a) a) b)) 3. ==[ beta ]==> ((b a)(((a a) a) b)) REDUCED to normal form. ------ 77225/6515724. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 77226/6515751. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)(^b.(^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. ------ 77227/6515805. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.b)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 77228/6515823. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.b) a)) 3. ==[ beta ]==> (b ((^y.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 77229/6515949. ------ 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. ------ 77230/6515976. ------ 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)((a a) a))) REDUCED to normal form. ------ 77231/6516210. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 77232/6516390. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> (b ((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 77233/6516498. ------ 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))(((^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. ------ 77234/6516507. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 77235/6516525. ------ 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))(^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. ------ 77236/6516534. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a (^y1.y1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 77237/6516552. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 77238/6516606. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 77239/6516615. ------ 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.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 77240/6516642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 77241/6516687. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a) c)) 3. ==[ beta ]==> (b (((^x1.x1) a) c)) 4. ==[ alpha ]==> (b (((^x.x) a) c)) 5. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 77242/6516696. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 77243/6516723. ------ 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.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 77244/6516750. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 77245/6516795. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 77246/6516822. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.a) c)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 77247/6516840. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a (^z.z)) a)) REDUCED to normal form. ------ 77248/6516867. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(a (a a)))) REDUCED to normal form. ------ 77249/6516948. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c c)) 3. ==[ beta ]==> (((^y.y)(a b))(c c)) 4. ==[ alpha ]==> (((^x.x)(a b))(c c)) 5. ==[ beta ]==> ((a b)(c c)) REDUCED to normal form. ------ 77250/6517101. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 77251/6517110. ------ 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. ------ 77252/6517137. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(a a))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 77253/6517146. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 77254/6517308. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) 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. ------ 77255/6517416. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 77256/6517425. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 77257/6517452. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a (^y.a))) 3. ==[ beta ]==> ((b a)(a (^y.a))) 4. ==[ alpha ]==> ((b a)(a (^x.a))) REDUCED to normal form. ------ 77258/6517470. ------ 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. ------ 77259/6517479. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^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. ------ 77260/6517497. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.z1)))) 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. ------ 77261/6517506. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.y1))) REDUCED to normal form. ------ 77262/6517551. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a a) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a) b)) REDUCED to normal form. ------ 77263/6517587. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.z))) 5. ==[ beta ]==> ((^y.(a a))(b (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(b (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77264/6517614. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 77265/6517632. ------ 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)(^y.y))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 77266/6517641. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a a))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 77267/6517668. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a)(^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. ------ 77268/6517695. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.z))) REDUCED to normal form. ------ 77269/6524025. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 77270/6524106. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^z.(^x1.x1))((^y1.y1)(a a)))(^y.y)) 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. ------ 77271/6524541. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 77272/6524790. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77273/6524865. ------ 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. ------ 77274/6525348. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b)))((^x2.(^y2.y2))(^z2.b))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.b)))((^x2.(^y2.y2))(^z2.b))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.b)))((^y1.(^z1.z1))(^x2.b))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.b))((^y1.(^z1.z1))(^x2.b))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77275/6525681. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 77276/6525756. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 77277/6525861. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((^y.b)(a (a a))) b) 4. ==[ alpha ]==> (((^x.b)(a (a a))) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 77278/6526017. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^d.a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.a))) REDUCED to normal form. ------ 77279/6526248. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.((c ((^z.z)(a a)))(c ((^z.z)(a a))))) 4. ==[ alpha ]==> (^x.((c ((^y.y)(a a)))(c ((^z.z)(a a))))) 5. ==[ beta ]==> (^x.((c (a a))(c ((^z.z)(a a))))) 6. ==[ alpha ]==> (^x.((c (a a))(c ((^y.y)(a a))))) 7. ==[ beta ]==> (^x.((c (a a))(c (a a)))) REDUCED to normal form. ------ 77280/6526548. ------ 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))) REDUCED to normal form. ------ 77281/6527052. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 77282/6527502. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77283/6527727. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 77284/6527886. ------ 1. ==[ start ]==> ((^a.(b a))(c (^c.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. ------ 77285/6528123. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.b))) REDUCED to normal form. ------ 77286/6528330. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(y b))) 3. ==[ beta ]==> (b (^y.(y b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 77287/6528435. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 77288/6528510. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.b))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.b))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.b))) REDUCED to normal form. ------ 77289/6528672. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 77290/6528723. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(^z1.(^x2.x2)))(^y.(^z.z))) 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. ------ 77291/6529122. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 77292/6529326. ------ 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. ------ 77293/6529401. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^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)))) REDUCED to normal form. ------ 77294/6529509. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 77295/6529608. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.d)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.d)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.d)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77296/6529617. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 77297/6529815. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.d)) 3. ==[ beta ]==> (b (^z.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 77298/6529959. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.c)) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.c)) 3. ==[ beta ]==> ((b a)(^y.c)) 4. ==[ alpha ]==> ((b a)(^x.c)) REDUCED to normal form. ------ 77299/6530121. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 77300/6530148. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 77301/6530175. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 77302/6530202. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.a)) REDUCED to normal form. ------ 77303/6530250. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(^a.a))(^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)))) REDUCED to normal form. ------ 77304/6530277. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(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. ------ 77305/6530286. ------ 1. ==[ start ]==> ((a b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 77306/6530304. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 77307/6530331. ------ 1. ==[ start ]==> (((^a.a) b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)(((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. ------ 77308/6530358. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^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. ------ 77309/6530367. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^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. ------ 77310/6530385. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 77311/6530439. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 77312/6530466. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 77313/6530502. ------ 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. ------ 77314/6530520. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 77315/6530529. ------ 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.(^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. ------ 77316/6530772. ------ 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))(^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. ------ 77317/6530799. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(^b.b))) 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. ------ 77318/6530817. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.b) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y) a)) 3. ==[ beta ]==> ((a a)((^y.y) a)) 4. ==[ alpha ]==> ((a a)((^x.x) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 77319/6530835. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(a a))((a (^y.(^z.z)))(a a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 77320/6530862. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 77321/6530898. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z)) d)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) d)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) d)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 77322/6530916. ------ 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)(^y.y))(((^z.z)(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. ------ 77323/6530943. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a 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)))) 5. ==[ beta ]==> ((a (a a))((a b)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a b)(^x.x))) REDUCED to normal form. ------ 77324/6530970. ------ 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 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. ------ 77325/6531024. ------ 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.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. ------ 77326/6531051. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((a a)(^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. ------ 77327/6531096. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 77328/6531123. ------ 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. ------ 77329/6531141. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((b b)((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((b b)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 77330/6531150. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.(^z.z)))(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. ------ 77331/6531276. ------ 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. ------ 77332/6531303. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.b))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.b))) 7. ==[ beta ]==> (a ((^y.y)(^z.b))) 8. ==[ alpha ]==> (a ((^x.x)(^y.b))) 9. ==[ beta ]==> (a (^y.b)) 10. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 77333/6531330. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 77334/6531411. ------ 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.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 77335/6531438. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1))) 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) REDUCED to normal form. ------ 77336/6531528. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 77337/6531555. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 77338/6531609. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 77339/6531699. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (b a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (b a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (b a))) 5. ==[ beta ]==> (a (b (b a))) REDUCED to normal form. ------ 77340/6531735. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) 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. ------ 77341/6531780. ------ 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 (^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)))) REDUCED to normal form. ------ 77342/6531807. ------ 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.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((^z1.z1) 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. ------ 77343/6531861. ------ 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)((^y.y) a))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 77344/6531942. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.b))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.b))(a (a a))) REDUCED to normal form. ------ 77345/6532014. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(a (^a.(^a.(^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. ------ 77346/6532095. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 77347/6532113. ------ 1. ==[ start ]==> (((^a.b) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 77348/6532122. ------ 1. ==[ start ]==> ((a (a b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.b)(a (a a)))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 77349/6532302. ------ 1. ==[ start ]==> (((a b) a)((b a) a)) REDUCED to normal form. ------ 77350/6532329. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 77351/6532509. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(c (a a))) REDUCED to normal form. ------ 77352/6532527. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^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. ------ 77353/6532725. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77354/6532752. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) 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. ------ 77355/6532806. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a a)((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 77356/6532896. ------ 1. ==[ start ]==> (((a b) b)((a b)(^b.a))) 2. ==[ alpha ]==> (((a b) b)((a b)(^x.a))) REDUCED to normal form. ------ 77357/6532923. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 77358/6532950. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(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. ------ 77359/6532977. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))(^z.a))) REDUCED to normal form. ------ 77360/6533031. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 77361/6533085. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 77362/6533112. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 77363/6533139. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b) c)) 3. ==[ beta ]==> (((a a)(^y.y))((a b) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((a b) c)) REDUCED to normal form. ------ 77364/6533202. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a))(^b.(^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. ------ 77365/6533256. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.b))) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 77366/6533283. ------ 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.(^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. ------ 77367/6533328. ------ 1. ==[ start ]==> (((^a.b) c)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 77368/6533427. ------ 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)(^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. ------ 77369/6533571. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> (((a b) c)((a a)(^y.y))) 4. ==[ alpha ]==> (((a b) c)((a a)(^x.x))) REDUCED to normal form. ------ 77370/6533598. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b)(^a.(^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. ------ 77371/6533625. ------ 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. ------ 77372/6533679. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 77373/6533706. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.a))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.a))) REDUCED to normal form. ------ 77374/6533760. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77375/6533787. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 77376/6533814. ------ 1. ==[ start ]==> (((a b)(^b.a))((a b) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((a b) b)) REDUCED to normal form. ------ 77377/6533904. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 77378/6533931. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 77379/6533958. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 77380/6533985. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^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. ------ 77381/6534147. ------ 1. ==[ start ]==> ((a (b a))(c (^c.a))) 2. ==[ alpha ]==> ((a (b a))(c (^x.a))) REDUCED to normal form. ------ 77382/6534381. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.b))) REDUCED to normal form. ------ 77383/6534588. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a (a b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 77384/6534597. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b) a)) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 77385/6534624. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a) b)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a) b)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a) b)) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 77386/6534651. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 77387/6534696. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (a (a a)))) REDUCED to normal form. ------ 77388/6534714. ------ 1. ==[ start ]==> (((a a)(b a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 77389/6534741. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 77390/6534768. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (^z.b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (^z.b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.b))) 5. ==[ beta ]==> ((a (a a))(a (^y.b))) 6. ==[ alpha ]==> ((a (a a))(a (^x.b))) REDUCED to normal form. ------ 77391/6534795. ------ 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. ------ 77392/6534822. ------ 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 (^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)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 77393/6534849. ------ 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 z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 77394/6534876. ------ 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. ------ 77395/6534903. ------ 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))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y) 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) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 77396/6534930. ------ 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)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 77397/6534975. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77398/6534984. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^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. ------ 77399/6535074. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(b ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)(b (^y.y))) 8. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 77400/6535155. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 77401/6535272. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 77402/6535299. ------ 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))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 77403/6535380. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 77404/6535407. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z)) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 77405/6535461. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a c)) REDUCED to normal form. ------ 77406/6535560. ------ 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 a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77407/6535569. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(b b)) REDUCED to normal form. ------ 77408/6535587. ------ 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. ------ 77409/6535632. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b (^y.(y y)))) REDUCED to normal form. ------ 77410/6535659. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 77411/6535686. ------ 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 y))(a a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(a a))) 5. ==[ beta ]==> (((a (a a))(a a))((a a)(a a))) REDUCED to normal form. ------ 77412/6535713. ------ 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)))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 77413/6535740. ------ 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))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 77414/6535767. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^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)(^x.x))(a (a a))) REDUCED to normal form. ------ 77415/6535794. ------ 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))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^y.y))) 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. ------ 77416/6535821. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 77417/6535875. ------ 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 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(z z))) REDUCED to normal form. ------ 77418/6535911. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) 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. ------ 77419/6535938. ------ 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 (^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))(a (^x2.x2)))) 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. ------ 77420/6536073. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a d)) 3. ==[ beta ]==> (b (a d)) REDUCED to normal form. ------ 77421/6536181. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 77422/6536190. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 77423/6536217. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y) c)) 3. ==[ beta ]==> ((b a)((^y.y) c)) 4. ==[ alpha ]==> ((b a)((^x.x) c)) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 77424/6536235. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c a)) 3. ==[ beta ]==> (((^y.y) b)(c a)) 4. ==[ alpha ]==> (((^x.x) b)(c a)) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 77425/6536244. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 77426/6536262. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 77427/6536271. ------ 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.(^z1.z1)))) REDUCED to normal form. ------ 77428/6536316. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b (a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b (a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (a a))) REDUCED to normal form. ------ 77429/6536352. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(^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. ------ 77430/6536379. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y) b)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 77431/6536397. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 77432/6536406. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 77433/6536433. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 77434/6536460. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 77435/6536486. ------ 1. ==[ start ]==> (^a.((b a)(^b.a))) 2. ==[ alpha ]==> (^x.((b x)(^y.x))) REDUCED to normal form. ------ 77436/6536487. ------ 1. ==[ start ]==> (a ((b a)(^b.a))) 2. ==[ alpha ]==> (a ((b a)(^x.a))) REDUCED to normal form. ------ 77437/6536742. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.(^y.x))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.x))(^z.z)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77438/6542754. ------ 1. ==[ start ]==> ((^a.a)((b a)(^b.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. ------ 77439/6542781. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.(z z)))(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 77440/6542808. ------ 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 REDUCED to normal form. ------ 77441/6542844. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77442/6542889. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(^y1.(a a)))(^y.y)) 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 a) REDUCED to normal form. ------ 77443/6543006. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (^y.((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (^x.((^y.y)((^z.z) b))) 5. ==[ beta ]==> (^x.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 77444/6543009. ------ 1. ==[ start ]==> ((a (^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 77445/6543078. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a) c)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a) c)) 3. ==[ eta ]==> ((^y.y)((b a) c)) 4. ==[ alpha ]==> ((^x.x)((b a) c)) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 77446/6543342. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((^z.z) b))) 3. ==[ beta ]==> ((a a)(^y.((^z.z) b))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y) b))) 5. ==[ beta ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 77447/6543348. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.b) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y) a)) 3. ==[ beta ]==> (((^y.y) a)(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (a (((^y.y) a)((^z.z) a))) 6. ==[ alpha ]==> (a (((^x.x) 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. ------ 77448/6543699. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b a)(^a.(^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. ------ 77449/6544260. ------ 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. ------ 77450/6544644. ------ 1. ==[ start ]==> ((^a.(a b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((a b)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(^y.(y y))) b) 4. ==[ alpha ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 77451/6544818. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(z a))) 3. ==[ beta ]==> (b (^z.(z a))) 4. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 77452/6545031. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.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. ------ 77453/6545853. ------ 1. ==[ start ]==> (((^a.b) c)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(^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. ------ 77454/6545913. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b) c)) 3. ==[ beta ]==> ((((^z.b) c)((^z.b) c))(^y.y)) 4. ==[ alpha ]==> ((((^x.b) c)((^y.b) c))(^z.z)) 5. ==[ beta ]==> ((b ((^y.b) c))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.b) c))(^y.y)) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 77455/6546087. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 77456/6547113. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 77457/6547122. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(y b))) REDUCED to normal form. ------ 77458/6547506. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1)) b)(^y.(^z.z))) 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. ------ 77459/6548292. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 77460/6548424. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77461/6548598. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.((^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 (^x.a)) REDUCED to normal form. ------ 77462/6548742. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(a (^z.z)))) 3. ==[ beta ]==> ((b a)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((b a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 77463/6548760. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.y))) 5. ==[ beta ]==> (b (^y.(^z.y))) 6. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 77464/6548877. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(a (^a.a)))) 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 a) REDUCED to normal form. ------ 77465/6548904. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 77466/6548922. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(^a.(^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. ------ 77467/6548931. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.a)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 77468/6548958. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 77469/6548985. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(z z))) REDUCED to normal form. ------ 77470/6549024. ------ 1. ==[ start ]==> ((a a)((b a)(^b.a))) 2. ==[ alpha ]==> ((a a)((b a)(^x.a))) REDUCED to normal form. ------ 77471/6549051. ------ 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. ------ 77472/6549078. ------ 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. ------ 77473/6549087. ------ 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)(a a)) REDUCED to normal form. ------ 77474/6549114. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 77475/6549132. ------ 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. ------ 77476/6549159. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(a a))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 77477/6549168. ------ 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.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. ------ 77478/6549195. ------ 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 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. ------ 77479/6549222. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(b a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 77480/6549249. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^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. ------ 77481/6549276. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.a))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 77482/6549294. ------ 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. ------ 77483/6549321. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 77484/6549348. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a) c)) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a) c)) 3. ==[ beta ]==> ((a a)((b a) c)) REDUCED to normal form. ------ 77485/6549438. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.a))) 5. ==[ beta ]==> (a ((^y.b)(^z.a))) 6. ==[ alpha ]==> (a ((^x.b)(^y.a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 77486/6549609. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(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. ------ 77487/6549618. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.b) a)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x) a)) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 77488/6549690. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((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)(^x.x)) a)) REDUCED to normal form. ------ 77489/6549717. ------ 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. ------ 77490/6549744. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a b)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 77491/6549771. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 77492/6549798. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a b))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a b))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 77493/6549825. ------ 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. ------ 77494/6549942. ------ 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))) REDUCED to normal form. ------ 77495/6549969. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b a)(^a.(^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. ------ 77496/6550059. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 77497/6550113. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 7. ==[ beta ]==> ((^y.(^z.z))(a b)) 8. ==[ alpha ]==> ((^x.(^y.y))(a b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77498/6550140. ------ 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.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. ------ 77499/6550194. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^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. ------ 77500/6550266. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((b a) b)) 3. ==[ beta ]==> (((a a)(^y.y))((b a) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((b a) b)) REDUCED to normal form. ------ 77501/6550437. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(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. ------ 77502/6550527. ------ 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. ------ 77503/6550554. ------ 1. ==[ start ]==> ((((a a) a) a)((b a)(a a))) REDUCED to normal form. ------ 77504/6550608. ------ 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.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 77505/6550635. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)(a (a a)))) REDUCED to normal form. ------ 77506/6550662. ------ 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)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 77507/6550689. ------ 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)(^z1.z1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77508/6550716. ------ 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. ------ 77509/6550833. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((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. ------ 77510/6550860. ------ 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)(^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. ------ 77511/6550887. ------ 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))) 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. ------ 77512/6550914. ------ 1. ==[ start ]==> ((a (a b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((a b)(^x.(x x)))) REDUCED to normal form. ------ 77513/6550923. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((^y.b)((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.b)(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77514/6551004. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(a b))) IRREDUCIBLE: cycle. ------ 77515/6551085. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 77516/6551193. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 77517/6551274. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.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. ------ 77518/6551301. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.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. ------ 77519/6551427. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(a a)) c)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a)) c)) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a)) c)) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a)) c)) 7. ==[ beta ]==> (a ((^y.(a a)) c)) 8. ==[ alpha ]==> (a ((^x.(a a)) c)) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 77520/6551472. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a)(a (a a)))) 3. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 77521/6551598. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 77522/6551679. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 77523/6551760. ------ 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)(^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. ------ 77524/6551814. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(a b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(a b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(a b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a b))) 9. ==[ beta ]==> ((^y.y)((^z.a)(a b))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 11. ==[ beta ]==> ((^y.a)(a b)) 12. ==[ alpha ]==> ((^x.a)(a b)) 13. ==[ beta ]==> a REDUCED to normal form. ------ 77525/6551895. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(^a.a))(^a.a))) 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. ------ 77526/6552120. ------ 1. ==[ start ]==> (((^a.b) c)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(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. ------ 77527/6552129. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 77528/6552156. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a)) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) b)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 77529/6552183. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b) c)) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 77530/6552354. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 77531/6552462. ------ 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.(^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. ------ 77532/6552516. ------ 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))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 77533/6552597. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) 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 a)) REDUCED to normal form. ------ 77534/6552804. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a)) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) a)) 7. ==[ beta ]==> ((^y.y)((^z.(a a)) a)) 8. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 9. ==[ beta ]==> ((^y.(a a)) a) 10. ==[ alpha ]==> ((^x.(a a)) a) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77535/6552831. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.b) b)) 3. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 77536/6552858. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a) c)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 77537/6553029. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b)(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(a a))) 5. ==[ beta ]==> (b ((^z.b)(a a))) 6. ==[ alpha ]==> (b ((^x.b)(a a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 77538/6553110. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 77539/6553218. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.b)(^z.z))) 3. ==[ beta ]==> ((b a)((^y.b)(^z.z))) 4. ==[ alpha ]==> ((b a)((^x.b)(^y.y))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 77540/6553299. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a b)(a b))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 77541/6553362. ------ 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. ------ 77542/6553380. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^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. ------ 77543/6553389. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (a b))) REDUCED to normal form. ------ 77544/6553416. ------ 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. ------ 77545/6553443. ------ 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 (^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. ------ 77546/6553587. ------ 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. ------ 77547/6553614. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^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)))) 9. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 10. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 77548/6553641. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 77549/6553668. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) 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. ------ 77550/6553695. ------ 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 (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^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)))) REDUCED to normal form. ------ 77551/6553776. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1) b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z) b)) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 77552/6553785. ------ 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))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77553/6553866. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))(^b.(^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. ------ 77554/6554082. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 77555/6554109. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 77556/6554163. ------ 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))(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. ------ 77557/6554244. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.(^z1.z1)))) 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. ------ 77558/6554307. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (a (a a)))) REDUCED to normal form. ------ 77559/6554361. ------ 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))) REDUCED to normal form. ------ 77560/6554397. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a) c)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 77561/6554478. ------ 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. ------ 77562/6554505. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 77563/6554532. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 77564/6554559. ------ 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 z)))) 3. ==[ beta ]==> (((a b)(^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 77565/6554586. ------ 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. ------ 77566/6554613. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^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. ------ 77567/6554658. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 77568/6554694. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y)) a)) 3. ==[ beta ]==> ((a b)((^y.(y y)) a)) 4. ==[ alpha ]==> ((a b)((^x.(x x)) a)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 77569/6554865. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 77570/6554982. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(a a))) REDUCED to normal form. ------ 77571/6555009. ------ 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. ------ 77572/6555027. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a (^b.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. ------ 77573/6555036. ------ 1. ==[ start ]==> (((a a)(^b.b))(c a)) 2. ==[ alpha ]==> (((a a)(^x.x))(c a)) REDUCED to normal form. ------ 77574/6555054. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77575/6555063. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b b)) REDUCED to normal form. ------ 77576/6555108. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^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. ------ 77577/6555144. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (a (^z.z)))) 6. ==[ alpha ]==> ((^x.(a a))(a (a (^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77578/6555171. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 77579/6555189. ------ 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 (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 77580/6555198. ------ 1. ==[ start ]==> (((a b)(^c.a))(b a)) 2. ==[ alpha ]==> (((a b)(^x.a))(b a)) REDUCED to normal form. ------ 77581/6555225. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 77582/6555252. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (a a))) REDUCED to normal form. ------ 77583/6555543. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 77584/6555885. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((^z.z) b))) 3. ==[ beta ]==> ((^y.((^z.z) b))((^y.((^z.z) b))(^y.((^z.z) b)))) 4. ==[ alpha ]==> ((^x.((^y.y) b))((^z.((^x1.x1) b))(^y1.((^z1.z1) b)))) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 77585/6560961. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77586/6561573. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77587/6561654. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77588/6561816. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(^z.z))) 3. ==[ beta ]==> (^y.((a a)(^z.z))) 4. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 77589/6561819. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^b.b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 77590/6562152. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 77591/6562158. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a ((^y.y) b))) 3. ==[ beta ]==> ((a ((^y.y) b))((a ((^y.y) b))(a ((^y.y) b)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a ((^y.y) b))(a ((^z.z) b)))) 5. ==[ beta ]==> ((a b)((a ((^y.y) b))(a ((^z.z) b)))) 6. ==[ alpha ]==> ((a b)((a ((^x.x) b))(a ((^y.y) b)))) 7. ==[ beta ]==> ((a b)((a b)(a ((^y.y) b)))) 8. ==[ alpha ]==> ((a b)((a b)(a ((^x.x) b)))) 9. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 77592/6562161. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((^y.y) b))) 3. ==[ beta ]==> ((a (a (a a)))(^x.b)) REDUCED to normal form. ------ 77593/6562476. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.z))) 3. ==[ beta ]==> ((b b)(^y.(^z.z))) 4. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 77594/6562773. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a (^y1.(^z1.z1))))) 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)))) REDUCED to normal form. ------ 77595/6563070. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 77596/6563628. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 77597/6563637. ------ 1. ==[ start ]==> (((a b) a)(^b.(b a))) 2. ==[ alpha ]==> (((a b) a)(^x.(x a))) REDUCED to normal form. ------ 77598/6563916. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> ((((^x.x) a)((^y.y)(^z.z))) b) 4. ==[ beta ]==> ((a ((^y.y)(^z.z))) b) 5. ==[ alpha ]==> ((a ((^x.x)(^y.y))) b) 6. ==[ beta ]==> ((a (^y.y)) b) 7. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 77599/6564048. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 7. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 8. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 9. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 10. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 11. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 12. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 13. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 14. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 15. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 16. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 17. ==[ beta ]==> ((^y.y)(^z.z)) 18. ==[ alpha ]==> ((^x.x)(^y.y)) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77600/6564420. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 77601/6564663. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 77602/6564672. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 77603/6564723. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((((a b)(a (^z.z)))((a b)(a (^z.z))))(^y.y)) 4. ==[ alpha ]==> ((((a b)(a (^x.x)))((a b)(a (^y.y))))(^z.z)) REDUCED to normal form. ------ 77604/6564906. ------ 1. ==[ start ]==> (((a b) c)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 77605/6565122. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 77606/6565347. ------ 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)))(^y1.((^z1.z1)(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((^z1.z1)(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1)(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(z z)))) 7. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(z z)))) 8. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 9. ==[ beta ]==> (^y.((^z.z)(y y))) 10. ==[ alpha ]==> (^x.((^y.y)(x x))) 11. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 77607/6565479. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ eta ]==> (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. ------ 77608/6565932. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 77609/6566742. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 77610/6566919. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77611/6567234. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77612/6567237. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(y (y y)))) 3. ==[ beta ]==> ((a b)(^y.(y (y y)))) 4. ==[ alpha ]==> ((a b)(^x.(x (x x)))) REDUCED to normal form. ------ 77613/6567408. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(^b.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. ------ 77614/6567570. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.c)) 3. ==[ beta ]==> (((^y.y) b)(^z.c)) 4. ==[ alpha ]==> (((^x.x) b)(^y.c)) 5. ==[ beta ]==> (b (^y.c)) 6. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 77615/6567579. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 77616/6567687. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(^a.(^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. ------ 77617/6567732. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 77618/6567741. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 77619/6567768. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 77620/6567795. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 77621/6567852. ------ 1. ==[ start ]==> ((a (^a.a))((b a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 77622/6567879. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((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. ------ 77623/6567906. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^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. ------ 77624/6567915. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 77625/6567933. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 77626/6567942. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^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. ------ 77627/6567987. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77628/6567996. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 77629/6568023. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 77630/6568050. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 77631/6568068. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((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. ------ 77632/6568077. ------ 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 (^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. ------ 77633/6568095. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 77634/6568131. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 77635/6568176. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a) c)) 3. ==[ beta ]==> ((^y.a)((b a) c)) 4. ==[ alpha ]==> ((^x.a)((b a) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 77636/6568212. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 77637/6568239. ------ 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)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 77638/6568266. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 77639/6568320. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 77640/6568410. ------ 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. ------ 77641/6568428. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(^b.b))) 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 77642/6568437. ------ 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. ------ 77643/6568446. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 4. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 5. ==[ beta ]==> (((^y.y) a)((^y.y) 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. ------ 77644/6568473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 77645/6568680. ------ 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)))) 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. ------ 77646/6568707. ------ 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))) REDUCED to normal form. ------ 77647/6568734. ------ 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. ------ 77648/6568752. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a (^y.y))) 3. ==[ beta ]==> ((b b)(a (^y.y))) 4. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 77649/6568797. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b a)(^a.(^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. ------ 77650/6568824. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 77651/6568878. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 77652/6568887. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 77653/6568932. ------ 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.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 9. ==[ beta ]==> ((^y.y)(^z.b)) 10. ==[ alpha ]==> ((^x.x)(^y.b)) 11. ==[ beta ]==> (^y.b) 12. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 77654/6568941. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 77655/6568959. ------ 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. ------ 77656/6568968. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(a a))) REDUCED to normal form. ------ 77657/6568995. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.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. ------ 77658/6569022. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 77659/6569049. ------ 1. ==[ start ]==> ((((^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))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a (^y1.(^z1.z1))))) 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. ------ 77660/6569346. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) b)((^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. ------ 77661/6569571. ------ 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))(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. ------ 77662/6569598. ------ 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.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 77663/6569625. ------ 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. ------ 77664/6569724. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 77665/6569742. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((^y.b)((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.b)((a b)(^y.(y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77666/6569823. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(^z.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(^z.b))) IRREDUCIBLE: cycle. ------ 77667/6569886. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^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. ------ 77668/6569913. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(b a))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(b a))) 3. ==[ beta ]==> (((a b) a)(b a)) REDUCED to normal form. ------ 77669/6569931. ------ 1. ==[ start ]==> (((^a.a)(a b))((b a) a)) 2. ==[ alpha ]==> (((^x.x)(a b))((b a) a)) 3. ==[ beta ]==> ((a b)((b a) a)) REDUCED to normal form. ------ 77670/6569958. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 77671/6569994. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 77672/6570021. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 77673/6570048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 77674/6570075. ------ 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. ------ 77675/6570102. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 77676/6570138. ------ 1. ==[ start ]==> (((a a)(a b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(c ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(a b))(c (a a))) REDUCED to normal form. ------ 77677/6570165. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 77678/6570192. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a (b a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a (b a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (b a))) 5. ==[ beta ]==> ((a (^y.y))(a (b a))) 6. ==[ alpha ]==> ((a (^x.x))(a (b a))) REDUCED to normal form. ------ 77679/6570219. ------ 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. ------ 77680/6570246. ------ 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 a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> (a (((^y.y)(a a))(a (^z.z)))) 8. ==[ alpha ]==> (a (((^x.x)(a a))(a (^y.y)))) 9. ==[ beta ]==> (a ((a a)(a (^y.y)))) 10. ==[ alpha ]==> (a ((a a)(a (^x.x)))) REDUCED to normal form. ------ 77681/6570273. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a b) a)) REDUCED to normal form. ------ 77682/6570300. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 77683/6570327. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^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))((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 9. ==[ beta ]==> ((a (a a))(^y.y)) 10. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 77684/6570498. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(a a))(^a.(^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. ------ 77685/6570507. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 77686/6570534. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.b)((^y.y) a))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 77687/6570552. ------ 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.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(^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. ------ 77688/6570561. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 77689/6570579. ------ 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.(^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. ------ 77690/6570588. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 77691/6570633. ------ 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) a)(^y1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.b))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.b))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 11. ==[ beta ]==> (((^y.y) a)(^z.b)) 12. ==[ alpha ]==> (((^x.x) a)(^y.b)) 13. ==[ beta ]==> (a (^y.b)) 14. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 77692/6570642. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 77693/6570669. ------ 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))((^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. ------ 77694/6570696. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 77695/6570714. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((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. ------ 77696/6570723. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.(^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. ------ 77697/6570750. ------ 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))(^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. ------ 77698/6570921. ------ 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) 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. ------ 77699/6570939. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 77700/6570948. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 77701/6570975. ------ 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. ------ 77702/6571002. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 77703/6571038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 77704/6571182. ------ 1. ==[ start ]==> (((a b) c)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(a (^x.(^y.y)))) REDUCED to normal form. ------ 77705/6571209. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(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 a)) REDUCED to normal form. ------ 77706/6571236. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 77707/6571254. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 77708/6571281. ------ 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)(^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. ------ 77709/6571290. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^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. ------ 77710/6571317. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.b))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 11. ==[ beta ]==> ((a (^x.b))(^z.z)) 12. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 77711/6571371. ------ 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.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. ------ 77712/6571398. ------ 1. ==[ start ]==> ((((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)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 77713/6571416. ------ 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 (((^z.z)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 77714/6571425. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 77715/6571452. ------ 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)(^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. ------ 77716/6571569. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c ((a a) a))) 3. ==[ beta ]==> ((a (a b))(c ((a a) a))) REDUCED to normal form. ------ 77717/6571596. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (a b))) REDUCED to normal form. ------ 77718/6571623. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a ((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a ((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.y)(a ((^z.z)(a a)))) 8. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 9. ==[ beta ]==> (a ((^y.y)(a a))) 10. ==[ alpha ]==> (a ((^x.x)(a a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 77719/6571650. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a b)(a a))) REDUCED to normal form. ------ 77720/6571677. ------ 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. ------ 77721/6571704. ------ 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)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) a)) 9. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 77722/6571731. ------ 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. ------ 77723/6571758. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) 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. ------ 77724/6571848. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a b)(^z.z))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a b)(^z.z))) 5. ==[ beta ]==> (b ((a b)(^z.z))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 77725/6571929. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((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. ------ 77726/6571992. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 77727/6572037. ------ 1. ==[ start ]==> (((^a.a)(b a))((a b) a)) 2. ==[ alpha ]==> (((^x.x)(b a))((a b) a)) 3. ==[ beta ]==> ((b a)((a b) a)) REDUCED to normal form. ------ 77728/6572064. ------ 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)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 77729/6572100. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^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. ------ 77730/6572127. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 77731/6572181. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^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. ------ 77732/6572208. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.b)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 77733/6572325. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(b a))(a (a (a a)))) REDUCED to normal form. ------ 77734/6572352. ------ 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))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 77735/6572379. ------ 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. ------ 77736/6572604. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77737/6572766. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^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. ------ 77738/6572901. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 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. ------ 77739/6572910. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(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. ------ 77740/6572928. ------ 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))(^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. ------ 77741/6572982. ------ 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 (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(^z.(z z)))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.(z z)))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 77742/6572991. ------ 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. ------ 77743/6573018. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 77744/6573063. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 77745/6573072. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 77746/6573099. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 77747/6573126. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(^y1.(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. ------ 77748/6573171. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 77749/6573198. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 77750/6573216. ------ 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. ------ 77751/6573243. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a (^y.y)) a)) REDUCED to normal form. ------ 77752/6573270. ------ 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)))) REDUCED to normal form. ------ 77753/6573477. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))(^b.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. ------ 77754/6573486. ------ 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. ------ 77755/6573513. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (a (a a)))) 3. ==[ beta ]==> ((a b)(a (a (a a)))) REDUCED to normal form. ------ 77756/6573522. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 77757/6573549. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a) b)) 3. ==[ beta ]==> ((^y.y)((^z1.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. ------ 77758/6573684. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 77759/6573792. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 77760/6573801. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (^z.z))) REDUCED to normal form. ------ 77761/6573828. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (^a.(^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. ------ 77762/6573846. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a) 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. ------ 77763/6573855. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 77764/6573873. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.z1))) 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. ------ 77765/6573882. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^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))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 77766/6573927. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 77767/6573963. ------ 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)(^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. ------ 77768/6573990. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b (^y.y))) REDUCED to normal form. ------ 77769/6574008. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)((a 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. ------ 77770/6574017. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 77771/6574044. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 77772/6574071. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^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))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 77773/6574115. ------ 1. ==[ start ]==> (^a.((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(x (^y1.y1)))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 77774/6574116. ------ 1. ==[ start ]==> (a ((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 77775/6574713. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.z))) 3. ==[ beta ]==> ((^y.(^z.z))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77776/6579789. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77777/6580395. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a))) a) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1))) 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. ------ 77778/6580401. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77779/6580455. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 77780/6580674. ------ 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. ------ 77781/6580725. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.(^a.a)))(^a.(^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. ------ 77782/6580995. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(^b.b))) 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 ]==> ((^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. ------ 77783/6580998. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 77784/6581007. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.(y y))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z) b))) 5. ==[ beta ]==> ((^y.((^z.z) b))(^y.((^z.z) b))) 6. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((^x1.x1) b))) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 77785/6581220. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77786/6581322. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 77787/6581346. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(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. ------ 77788/6582111. ------ 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. ------ 77789/6582213. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 77790/6582291. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.(a a))((^z.z) a)) b) 4. ==[ alpha ]==> (((^x.(a a))((^y.y) a)) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 77791/6582474. ------ 1. ==[ start ]==> (((a b) a)(^c.(^d.a))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.a))) REDUCED to normal form. ------ 77792/6583257. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 77793/6583509. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 77794/6583734. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 77795/6584184. ------ 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.(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(a a)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 9. ==[ beta ]==> (^y.(^z.(a a))) 10. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 77796/6584865. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 77797/6584967. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.b))) REDUCED to normal form. ------ 77798/6585579. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 77799/6585732. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 77800/6585756. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77801/6585858. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(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. ------ 77802/6585966. ------ 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. ------ 77803/6586071. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77804/6586074. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 77805/6586083. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 77806/6586245. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 77807/6586353. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 77808/6586407. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 77809/6586416. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.c)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.c)) REDUCED to normal form. ------ 77810/6586524. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 77811/6586569. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(a a))) 3. ==[ beta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 77812/6586578. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.b)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 77813/6586605. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.(^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. ------ 77814/6586677. ------ 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))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77815/6586689. ------ 1. ==[ start ]==> ((a a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 77816/6586707. ------ 1. ==[ start ]==> (((^a.a) a)((b a)(^b.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. ------ 77817/6586734. ------ 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. ------ 77818/6586743. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 77819/6586761. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(a a))(^b.(^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. ------ 77820/6586788. ------ 1. ==[ start ]==> (((^a.a) b)((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)((a b)(^y.a))) 3. ==[ beta ]==> (b ((a b)(^y.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 77821/6586797. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)((a a) a))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 77822/6586815. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 77823/6586842. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^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. ------ 77824/6586923. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 77825/6586959. ------ 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. ------ 77826/6586977. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 77827/6586986. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 77828/6587013. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.(^a.a)))(^a.(^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. ------ 77829/6587256. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^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. ------ 77830/6587283. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.y))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 77831/6587292. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((^z.z) b))) 3. ==[ beta ]==> ((^y.(y y))(a ((^z.z) b))) 4. ==[ alpha ]==> ((^x.(x x))(a ((^y.y) b))) 5. ==[ beta ]==> ((a ((^y.y) b))(a ((^y.y) b))) 6. ==[ alpha ]==> ((a ((^x.x) b))(a ((^y.y) b))) 7. ==[ beta ]==> ((a b)(a ((^y.y) b))) 8. ==[ alpha ]==> ((a b)(a ((^x.x) b))) 9. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 77832/6587319. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 77833/6587373. ------ 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 ]==> (((^y.y)(^y.y))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 9. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 77834/6587400. ------ 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. ------ 77835/6587427. ------ 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)(^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. ------ 77836/6587481. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a b))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a b))) 7. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 77837/6587508. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 77838/6587580. ------ 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. ------ 77839/6587607. ------ 1. ==[ start ]==> (((a (a a))(a a))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 77840/6587634. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 77841/6587733. ------ 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. ------ 77842/6587787. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 77843/6587814. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 77844/6587841. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^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. ------ 77845/6587895. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a)(^a.(^a.(^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. ------ 77846/6587931. ------ 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)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 77847/6588012. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 77848/6588039. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 77849/6588156. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c ((a a)(^z.z)))) 5. ==[ beta ]==> (a (c ((a a)(^z.z)))) 6. ==[ alpha ]==> (a (c ((a a)(^x.x)))) REDUCED to normal form. ------ 77850/6588219. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 77851/6588237. ------ 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. ------ 77852/6588264. ------ 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)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(a (^z1.z1)))) 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. ------ 77853/6588273. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 77854/6588318. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)(a (a a)))) 7. ==[ beta ]==> ((a a)((a b)(a (a a)))) REDUCED to normal form. ------ 77855/6588399. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))(a b))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))(a b))) REDUCED to normal form. ------ 77856/6588498. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 77857/6588570. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a))(^b.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. ------ 77858/6588579. ------ 1. ==[ start ]==> ((a (a b))((^b.(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. ------ 77859/6588732. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 77860/6588786. ------ 1. ==[ start ]==> (((a a)(^a.b))((b a) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((b a) a)) REDUCED to normal form. ------ 77861/6588840. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a)) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 77862/6588984. ------ 1. ==[ start ]==> (((a a)(a b))((^b.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. ------ 77863/6589182. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77864/6589209. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 77865/6589263. ------ 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))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 77866/6589353. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a))(^a.(^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. ------ 77867/6589380. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b)(^b.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. ------ 77868/6589407. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 77869/6589434. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 77870/6589488. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 77871/6589515. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> (((a (^y.y))(^z.(a a)))((a (^y.y))(^z.(a a)))) 8. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 77872/6589542. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 77873/6589569. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 77874/6589596. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 77875/6589632. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b)(^b.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. ------ 77876/6589659. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 77877/6589686. ------ 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.(^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. ------ 77878/6589740. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.b))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.b))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 77879/6589767. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^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. ------ 77880/6589794. ------ 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 (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 77881/6589884. ------ 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.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. ------ 77882/6590019. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 77883/6590055. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 77884/6590082. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 77885/6590136. ------ 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)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(z z))) REDUCED to normal form. ------ 77886/6590163. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))(^b.(^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. ------ 77887/6590217. ------ 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.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77888/6590244. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 77889/6590271. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 77890/6590298. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 77891/6590361. ------ 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 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. ------ 77892/6590388. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 8. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 77893/6590415. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 77894/6590442. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^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. ------ 77895/6590469. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(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. ------ 77896/6590838. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(^z.a))) REDUCED to normal form. ------ 77897/6590946. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z) c)) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) c)) 7. ==[ beta ]==> ((a (^x.(a a))) c) REDUCED to normal form. ------ 77898/6591045. ------ 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. ------ 77899/6591081. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.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)) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 77900/6591153. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (a a)) a)) REDUCED to normal form. ------ 77901/6591225. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (^z.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (^z.a))) 4. ==[ alpha ]==> ((a ((^x.x)(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. ------ 77902/6591252. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))(a (^x.b))) REDUCED to normal form. ------ 77903/6591306. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(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. ------ 77904/6591333. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a b)(a (a a)))(a ((^y.y) a))) 6. ==[ alpha ]==> (((a b)(a (a a)))(a ((^x.x) a))) 7. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 77905/6591360. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.a)(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(a (a a)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 77906/6591387. ------ 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))((^y1.y1)(^z1.z1)))) 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. ------ 77907/6591432. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 77908/6591531. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (a (a a)))) 5. ==[ beta ]==> ((a a)(c (a (a a)))) REDUCED to normal form. ------ 77909/6591612. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(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. ------ 77910/6591720. ------ 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. ------ 77911/6591756. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 77912/6591837. ------ 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. ------ 77913/6591864. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 77914/6591918. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 77915/6592017. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 77916/6592026. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1)) 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. ------ 77917/6592044. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 77918/6592089. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (^y.a))) REDUCED to normal form. ------ 77919/6592116. ------ 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 z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 77920/6592143. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^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. ------ 77921/6592170. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 77922/6592197. ------ 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)))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 77923/6592224. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 77924/6592251. ------ 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. ------ 77925/6592278. ------ 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))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.z))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 77926/6592323. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (^x1.x1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77927/6592332. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a))(^b.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. ------ 77928/6592359. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 77929/6592368. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 77930/6592395. ------ 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) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) 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. ------ 77931/6592530. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 77932/6592638. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 77933/6592647. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 77934/6592674. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((b a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((b a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 77935/6592692. ------ 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. ------ 77936/6592701. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y) c)) 3. ==[ beta ]==> (((a a)(^x.x)) c) REDUCED to normal form. ------ 77937/6592728. ------ 1. ==[ start ]==> (((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))) REDUCED to normal form. ------ 77938/6592809. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a) b)) 5. ==[ beta ]==> ((^y.(a a))((a a) b)) 6. ==[ alpha ]==> ((^x.(a a))((a a) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77939/6592836. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^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. ------ 77940/6592854. ------ 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))) REDUCED to normal form. ------ 77941/6592863. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y) b)) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 77942/6592890. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a a)(^a.a))) 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. ------ 77943/6592917. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a) a)) REDUCED to normal form. ------ 77944/6592962. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(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. ------ 77945/6592970. ------ 1. ==[ start ]==> (^a.((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((x (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 77946/6592971. ------ 1. ==[ start ]==> (a ((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 77947/6598644. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.d)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.d)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77948/6599250. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a))) b) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1))) 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. ------ 77949/6599259. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a))) a) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 77950/6599265. ------ 1. ==[ start ]==> ((^a.a)((a (^a.(^a.a)))(^a.(^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. ------ 77951/6599274. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77952/6599292. ------ 1. ==[ start ]==> ((^a.(a a))((b a)(^b.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. ------ 77953/6599319. ------ 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 REDUCED to normal form. ------ 77954/6599355. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77955/6599400. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^z.b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 77956/6599517. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^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. ------ 77957/6599589. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.(^x1.x1))) b)) 3. ==[ eta ]==> ((^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. ------ 77958/6599760. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 77959/6599871. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))(^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. ------ 77960/6600177. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(a (^a.(^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))))) REDUCED to normal form. ------ 77961/6600210. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.(^y1.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. ------ 77962/6600798. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 77963/6601155. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(a a))(^b.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. ------ 77964/6601356. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(y a))) 3. ==[ beta ]==> ((a b)(^y.(y a))) 4. ==[ alpha ]==> ((a b)(^x.(x a))) REDUCED to normal form. ------ 77965/6601542. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (^y.(((^z.(z z))(^x1.b))((^z.(z z))(^x1.b)))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(^z.b))((^x1.(x1 x1))(^y1.b)))) 5. ==[ beta ]==> (^x.(((^z.b)(^z.b))((^x1.(x1 x1))(^y1.b)))) 6. ==[ alpha ]==> (^x.(((^y.b)(^z.b))((^x1.(x1 x1))(^y1.b)))) 7. ==[ beta ]==> (^x.(b ((^x1.(x1 x1))(^y1.b)))) 8. ==[ alpha ]==> (^x.(b ((^y.(y y))(^z.b)))) 9. ==[ beta ]==> (^x.(b ((^z.b)(^z.b)))) 10. ==[ alpha ]==> (^x.(b ((^y.b)(^z.b)))) 11. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 77966/6602139. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^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. ------ 77967/6602364. ------ 1. ==[ start ]==> (((^a.b) c)(^d.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^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. ------ 77968/6602424. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((((^z.(a a)) b)((^z.(a a)) b))(^y.y)) 4. ==[ alpha ]==> ((((^x.(a a)) b)((^y.(a a)) b))(^z.z)) 5. ==[ beta ]==> (((a a)((^y.(a a)) b))(^z.z)) 6. ==[ alpha ]==> (((a a)((^x.(a a)) b))(^y.y)) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 77969/6602607. ------ 1. ==[ start ]==> (((a b) c)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) c)(^x.(a a))) REDUCED to normal form. ------ 77970/6602841. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 77971/6603273. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (b (^z.(^x1.(z z)))) 6. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 77972/6603462. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(a y))) 3. ==[ eta ]==> (((^x.x)(b a)) a) 4. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 77973/6603660. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(z b))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(z b))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(y b))) REDUCED to normal form. ------ 77974/6604017. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((a 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. ------ 77975/6604596. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 77976/6604605. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.y1))) REDUCED to normal form. ------ 77977/6604938. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.d)) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.d)) 3. ==[ beta ]==> ((a b)(^y.d)) 4. ==[ alpha ]==> ((a b)(^x.d)) REDUCED to normal form. ------ 77978/6604947. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 77979/6605217. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 77980/6605226. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 77981/6605280. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 77982/6605298. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.y1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 77983/6605352. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 77984/6605415. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(y (^z.z)))) REDUCED to normal form. ------ 77985/6605442. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 77986/6605496. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.b)) REDUCED to normal form. ------ 77987/6605541. ------ 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))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77988/6605550. ------ 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. ------ 77989/6605562. ------ 1. ==[ start ]==> ((a a)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 77990/6605571. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 77991/6605589. ------ 1. ==[ start ]==> ((a (a a))((b a)(^b.a))) 2. ==[ alpha ]==> ((a (a a))((b a)(^x.a))) REDUCED to normal form. ------ 77992/6605616. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 77993/6605652. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 77994/6605670. ------ 1. ==[ start ]==> (((a a)(a a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)(a a))((a b)(^x.a))) REDUCED to normal form. ------ 77995/6605697. ------ 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. ------ 77996/6605733. ------ 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.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. ------ 77997/6605760. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 77998/6605787. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 77999/6605814. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^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. ------ 78000/6605832. ------ 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. ------ 78001/6605859. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) b) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))(b a)) REDUCED to normal form. ------ 78002/6605886. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 78003/6605895. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a)))(^a.(^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. ------ 78004/6605976. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.(^y1.y1)))) 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)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 78005/6606003. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 78006/6606057. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 78007/6606147. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (a (^a.(^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. ------ 78008/6606165. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(^b.b))) 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 ]==> ((^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. ------ 78009/6606228. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 78010/6606255. ------ 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)(^x.x)) a)) REDUCED to normal form. ------ 78011/6606282. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(a (a a)))) REDUCED to normal form. ------ 78012/6606309. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)((^z.z)(^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. ------ 78013/6606336. ------ 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. ------ 78014/6606363. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(a b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a b))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a b)) REDUCED to normal form. ------ 78015/6606471. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(a (^a.(^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. ------ 78016/6606507. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 78017/6606516. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78018/6606597. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 78019/6606678. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^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. ------ 78020/6606732. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 78021/6606804. ------ 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)) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 78022/6606831. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b a) b)) REDUCED to normal form. ------ 78023/6606975. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.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. ------ 78024/6607029. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.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. ------ 78025/6607065. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (b a))) 3. ==[ beta ]==> (((^y.y) b)(b (b a))) 4. ==[ alpha ]==> (((^x.x) b)(b (b a))) 5. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 78026/6607092. ------ 1. ==[ start ]==> ((((a a) a) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 78027/6607146. ------ 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)(^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 78028/6607173. ------ 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.x1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 78029/6607200. ------ 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. ------ 78030/6607227. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78031/6607254. ------ 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))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((a a) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a) a)) REDUCED to normal form. ------ 78032/6607398. ------ 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))) REDUCED to normal form. ------ 78033/6607425. ------ 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.(^z.z)))) REDUCED to normal form. ------ 78034/6607452. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a))(^b.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. ------ 78035/6607461. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 78036/6607542. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((a a) a))) IRREDUCIBLE: cycle. ------ 78037/6607623. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^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. ------ 78038/6607650. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^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. ------ 78039/6607731. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(a a))(^b.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. ------ 78040/6607812. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 78041/6607839. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.b)(^z.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 78042/6607992. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(a a)) c)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 78043/6608010. ------ 1. ==[ start ]==> (((^a.b) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)((a b)((^y.y) a))) 3. ==[ beta ]==> (b ((a b)((^y.y) a))) 4. ==[ alpha ]==> (b ((a b)((^x.x) a))) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 78044/6608136. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)(c (^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(c (^y.(a a)))) 7. ==[ beta ]==> (c (^y.(a a))) 8. ==[ alpha ]==> (c (^x.(a a))) REDUCED to normal form. ------ 78045/6608217. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.(^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. ------ 78046/6608271. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.b)((^z.z) a))) 6. ==[ alpha ]==> ((a a)((^x.b)((^y.y) a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 78047/6608298. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 78048/6608352. ------ 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 x1))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((a a) a))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))((a a) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 11. ==[ beta ]==> ((^y.(y y))((a a) a)) 12. ==[ alpha ]==> ((^x.(x x))((a a) a)) 13. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 78049/6608433. ------ 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 ((^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. ------ 78050/6608505. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a b) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b) c)) 3. ==[ beta ]==> (((a a)(a a))((a b) c)) REDUCED to normal form. ------ 78051/6608658. ------ 1. ==[ start ]==> (((^a.b) c)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(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. ------ 78052/6608721. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a)) b)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 78053/6608892. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 78054/6608901. ------ 1. ==[ start ]==> (((a b) c)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) c)((a a)(a a))) REDUCED to normal form. ------ 78055/6608973. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 78056/6609054. ------ 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))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.z))) 10. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.y))) 11. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 12. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 78057/6609135. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) 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. ------ 78058/6609369. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 78059/6609396. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 78060/6609567. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.(a a)))) 5. ==[ beta ]==> (b (a (^z.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 78061/6609648. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^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. ------ 78062/6609756. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(a b))) 3. ==[ beta ]==> ((b a)((^y.y)(a b))) 4. ==[ alpha ]==> ((b a)((^x.x)(a b))) 5. ==[ beta ]==> ((b a)(a b)) REDUCED to normal form. ------ 78063/6609783. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 78064/6609837. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^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. ------ 78065/6609900. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(c (^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 78066/6609918. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))(^c.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. ------ 78067/6609927. ------ 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. ------ 78068/6609954. ------ 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. ------ 78069/6609981. ------ 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) a)(a a))) REDUCED to normal form. ------ 78070/6610152. ------ 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. ------ 78071/6610179. ------ 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))(^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. ------ 78072/6610206. ------ 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. ------ 78073/6610233. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)(a (^y.(y y)))) 8. ==[ alpha ]==> (((a a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 78074/6610260. ------ 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 (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 78075/6610314. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a) a)) REDUCED to normal form. ------ 78076/6610404. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 78077/6610593. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (^b.(^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. ------ 78078/6610602. ------ 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. ------ 78079/6610647. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^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. ------ 78080/6610701. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y) a))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 78081/6610710. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c d)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c d)) REDUCED to normal form. ------ 78082/6610782. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 78083/6610845. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(c a)) REDUCED to normal form. ------ 78084/6610890. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 78085/6610899. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.x1))) REDUCED to normal form. ------ 78086/6610935. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(z z)) b)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(b b)) REDUCED to normal form. ------ 78087/6610962. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a) c)) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 78088/6611043. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (a a))(^z.z))) 3. ==[ beta ]==> (((^y.y)(a b))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 78089/6611070. ------ 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. ------ 78090/6611097. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 78091/6611124. ------ 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. ------ 78092/6611151. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (a a)) a)) REDUCED to normal form. ------ 78093/6611196. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78094/6611241. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(^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. ------ 78095/6611403. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 78096/6611511. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 78097/6611520. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 78098/6611547. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (^y.y))(a a))) 3. ==[ beta ]==> ((b a)((a (^y.y))(a a))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(a a))) REDUCED to normal form. ------ 78099/6611565. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (^a.(^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. ------ 78100/6611574. ------ 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. ------ 78101/6611592. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a (^y1.a))) 3. ==[ beta ]==> ((^y.y)(a (^y1.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 78102/6611646. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 78103/6611682. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b (a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (a a))) 5. ==[ beta ]==> ((^y.(a a))(b (a a))) 6. ==[ alpha ]==> ((^x.(a a))(b (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 78104/6611709. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (a (^y.y)))) REDUCED to normal form. ------ 78105/6611727. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b (^y.y))) 3. ==[ beta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 78106/6611736. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 78107/6611763. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 78108/6611790. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a b)) REDUCED to normal form. ------ 78109/6611835. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(a (^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78110/6611844. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 78111/6618141. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a))) b) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 78112/6618165. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.(^a.a)))(^a.(^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. ------ 78113/6618246. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 78114/6618408. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 78115/6618447. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(^y.y)) b)(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 78116/6618750. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (a (^a.(^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. ------ 78117/6619689. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 78118/6620247. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.a))) 4. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 78119/6620256. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(y a))) REDUCED to normal form. ------ 78120/6620535. ------ 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. ------ 78121/6620640. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((((a a) a)(a (a a)))(((a a) a)(a (a a))))) 4. ==[ alpha ]==> ((^x.x)((((a a) a)(a (a a)))(((a a) a)(a (a a))))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 78122/6621030. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 78123/6621039. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 78124/6621291. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(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)))) REDUCED to normal form. ------ 78125/6621315. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((((^z.z)(a a))(a a))(((^z.z)(a a))(a a)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(a a))(a a))(((^y.y)(a a))(a a)))(^z.z)) 5. ==[ beta ]==> ((((a a)(a a))(((^y.y)(a a))(a a)))(^z.z)) 6. ==[ alpha ]==> ((((a a)(a a))(((^x.x)(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. ------ 78126/6621498. ------ 1. ==[ start ]==> (((a b) c)(^d.(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(a a)))) REDUCED to normal form. ------ 78127/6621525. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 78128/6621732. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 78129/6621741. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 78130/6621966. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 78131/6622071. ------ 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. ------ 78132/6622353. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.b))) 3. ==[ beta ]==> ((b a)(^y.(^z.b))) 4. ==[ alpha ]==> ((b a)(^x.(^y.b))) REDUCED to normal form. ------ 78133/6622551. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 78134/6622620. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 78135/6622722. ------ 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. ------ 78136/6622902. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 78137/6623496. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 78138/6623511. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78139/6623826. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b ((^z.z) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 78140/6623838. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.d)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.d)) 3. ==[ beta ]==> ((^y.y)(^z.d)) 4. ==[ alpha ]==> ((^x.x)(^y.d)) 5. ==[ beta ]==> (^y.d) 6. ==[ alpha ]==> (^x.d) REDUCED to normal form. ------ 78141/6624117. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.a))) REDUCED to normal form. ------ 78142/6624189. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.c)) 3. ==[ beta ]==> ((^y.y)(^y1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 78143/6624198. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) REDUCED to normal form. ------ 78144/6624306. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 78145/6624333. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 78146/6624360. ------ 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)))) REDUCED to normal form. ------ 78147/6624387. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(a a))) REDUCED to normal form. ------ 78148/6624432. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78149/6624441. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.z1))) REDUCED to normal form. ------ 78150/6624471. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 78151/6624480. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 78152/6624498. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b a)(^b.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. ------ 78153/6624525. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 78154/6624552. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 78155/6624561. ------ 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 (a a)) REDUCED to normal form. ------ 78156/6624588. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 78157/6624606. ------ 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 ]==> ((^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. ------ 78158/6624615. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(a b))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(a b))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 78159/6624633. ------ 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))(^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. ------ 78160/6624642. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 78161/6624669. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 78162/6624696. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 78163/6624714. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 78164/6624750. ------ 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)((^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. ------ 78165/6624795. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.(^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 REDUCED to normal form. ------ 78166/6624822. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 78167/6624885. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 78168/6624912. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 78169/6625047. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^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. ------ 78170/6625056. ------ 1. ==[ start ]==> ((a (a (a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 78171/6625092. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 78172/6625299. ------ 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. ------ 78173/6625326. ------ 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) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)((a a)(^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. ------ 78174/6625353. ------ 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. ------ 78175/6625371. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((b b)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b b)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 78176/6625380. ------ 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. ------ 78177/6625416. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78178/6625443. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b a)(^a.(^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. ------ 78179/6625497. ------ 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)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 9. ==[ beta ]==> ((a a)(^y.(y y))) 10. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 78180/6625506. ------ 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. ------ 78181/6625533. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.b)((^y.y)(^z.z)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 78182/6625560. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 78183/6625578. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.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. ------ 78184/6625587. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 78185/6625614. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.a))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.a))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> ((a (^x.a))((a a)(a a))) REDUCED to normal form. ------ 78186/6625641. ------ 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) REDUCED to normal form. ------ 78187/6625668. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^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. ------ 78188/6625992. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 78189/6626010. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 78190/6626190. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (a a))(a b))) REDUCED to normal form. ------ 78191/6626217. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 78192/6626244. ------ 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)))) REDUCED to normal form. ------ 78193/6626271. ------ 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. ------ 78194/6626343. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 78195/6626361. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a))(^b.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. ------ 78196/6626505. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.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. ------ 78197/6626523. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((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. ------ 78198/6626532. ------ 1. ==[ start ]==> (((a b) a)((^a.(^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. ------ 78199/6626559. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(b a))) 3. ==[ beta ]==> (((a a)(^x.b))(b a)) REDUCED to normal form. ------ 78200/6626577. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 78201/6626613. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a))(^a.(^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. ------ 78202/6626640. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(a a))(^b.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. ------ 78203/6626667. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.a)((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.b)(^z.(z z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 78204/6626721. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^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. ------ 78205/6626811. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b ((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(b ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 78206/6626838. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a (b a))) REDUCED to normal form. ------ 78207/6626865. ------ 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))) REDUCED to normal form. ------ 78208/6626892. ------ 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. ------ 78209/6626919. ------ 1. ==[ start ]==> (((a b)(a a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))((a b)((^x.x) a))) 3. ==[ beta ]==> (((a b)(a a))((a b) a)) REDUCED to normal form. ------ 78210/6626946. ------ 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)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 78211/6627117. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 78212/6627126. ------ 1. ==[ start ]==> (((a b) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 78213/6627153. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 78214/6627171. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b)(^b.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. ------ 78215/6627180. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 78216/6627198. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((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. ------ 78217/6627207. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 78218/6627261. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 78219/6627288. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(a b))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(a b))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(a b))) 7. ==[ beta ]==> (((^y.a)(a b))((^y.a)(a b))) 8. ==[ alpha ]==> (((^x.a)(a b))((^y.a)(a b))) 9. ==[ beta ]==> (a ((^y.a)(a b))) 10. ==[ alpha ]==> (a ((^x.a)(a b))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 78220/6627315. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^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. ------ 78221/6627333. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 78222/6627342. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 78223/6627558. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^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. ------ 78224/6627567. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(b (a a))) REDUCED to normal form. ------ 78225/6627594. ------ 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. ------ 78226/6627621. ------ 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. ------ 78227/6627657. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 78228/6627801. ------ 1. ==[ start ]==> (((a b) c)(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)(b (^x.(a a)))) REDUCED to normal form. ------ 78229/6627828. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (^c.(^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. ------ 78230/6627855. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 78231/6627873. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 78232/6627900. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((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. ------ 78233/6627909. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 78234/6627936. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^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. ------ 78235/6627954. ------ 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.(^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. ------ 78236/6627990. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^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. ------ 78237/6628017. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^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. ------ 78238/6628035. ------ 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)(^z.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 78239/6628044. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 78240/6628071. ------ 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))(^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. ------ 78241/6628098. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 78242/6628242. ------ 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. ------ 78243/6628269. ------ 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. ------ 78244/6628296. ------ 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. ------ 78245/6628323. ------ 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. ------ 78246/6628350. ------ 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)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(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))((^z.z) a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y) a)) 7. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 78247/6628377. ------ 1. ==[ start ]==> ((a (b a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 78248/6628548. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^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. ------ 78249/6628611. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 78250/6628656. ------ 1. ==[ start ]==> (((^a.a)(b a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(b 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. ------ 78251/6628683. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 78252/6628719. ------ 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)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 78253/6628737. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (((a b)(a b))((^y.y) c)) 6. ==[ alpha ]==> (((a b)(a b))((^x.x) c)) 7. ==[ beta ]==> (((a b)(a b)) c) REDUCED to normal form. ------ 78254/6628746. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^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. ------ 78255/6628800. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)(^b.(^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. ------ 78256/6628827. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))(^c.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. ------ 78257/6628854. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.b)) REDUCED to normal form. ------ 78258/6628926. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 78259/6628944. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))((a (a a))((^x.x) a))) 3. ==[ beta ]==> (((a a)(b a))((a (a a)) a)) REDUCED to normal form. ------ 78260/6628971. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 78261/6628998. ------ 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. ------ 78262/6629025. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)((a a) a))) REDUCED to normal form. ------ 78263/6629205. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 78264/6629223. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a) a) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a) a) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 78265/6629385. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 78266/6629502. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 78267/6629547. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 78268/6629601. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(^z.a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.a))) 9. ==[ beta ]==> (((a a)(a a))(a (^y.a))) 10. ==[ alpha ]==> (((a a)(a a))(a (^x.a))) REDUCED to normal form. ------ 78269/6629610. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 78270/6629637. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^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. ------ 78271/6629682. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 78272/6629691. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^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. ------ 78273/6629718. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 78274/6629745. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 78275/6629799. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.y1))) REDUCED to normal form. ------ 78276/6629817. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 78277/6629835. ------ 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. ------ 78278/6629862. ------ 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. ------ 78279/6629889. ------ 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.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 78280/6629916. ------ 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. ------ 78281/6629997. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c c)) 3. ==[ beta ]==> (((a b)(^y.y))(c c)) 4. ==[ alpha ]==> (((a b)(^x.x))(c c)) REDUCED to normal form. ------ 78282/6630096. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a)(^a.(^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. ------ 78283/6630132. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(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. ------ 78284/6630168. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(z1 z1)) a)) 3. ==[ beta ]==> ((^y.y)((^z1.(z1 z1)) 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. ------ 78285/6630303. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 78286/6630420. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.a)) REDUCED to normal form. ------ 78287/6630447. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c (^y.y))) 3. ==[ beta ]==> ((b a)(c (^y.y))) 4. ==[ alpha ]==> ((b a)(c (^x.x))) REDUCED to normal form. ------ 78288/6630465. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1)) b)) 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)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 78289/6630474. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 78290/6630501. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.a))) REDUCED to normal form. ------ 78291/6630546. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 78292/6630582. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(^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. ------ 78293/6630609. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)(^a.(^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. ------ 78294/6630627. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^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. ------ 78295/6630636. ------ 1. ==[ start ]==> (((a b)(^c.a))(b (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 78296/6630663. ------ 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)))) REDUCED to normal form. ------ 78297/6630690. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 78298/6630735. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 78299/6630744. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.y1))) REDUCED to normal form. ------ 78300/6630761. ------ 1. ==[ start ]==> (^a.((^b.b)(a a))) 2. ==[ alpha ]==> (^x.((^y.y)(x x))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 78301/6630762. ------ 1. ==[ start ]==> (a ((^b.b)(a a))) 2. ==[ alpha ]==> (a ((^x.x)(a a))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 78302/6631710. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 78303/6635517. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.((a a) a))) 3. ==[ beta ]==> ((^x1.((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.((a a) a))(^y.(^z.z))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 78304/6636120. ------ 1. ==[ start ]==> ((^a.(^b.b))(^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. ------ 78305/6637074. ------ 1. ==[ start ]==> ((^a.a)((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 78306/6637101. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a (^y1.y1)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78307/6637209. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> (((^z.b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((^x.b)((a a) a))(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 78308/6637365. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 78309/6637374. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 78310/6637398. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(^x1.x1))) 3. ==[ eta ]==> ((^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. ------ 78311/6637668. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^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. ------ 78312/6637707. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 78313/6637893. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 78314/6638019. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 78315/6638022. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 78316/6638319. ------ 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))))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 78317/6638451. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)(^b.(^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. ------ 78318/6638625. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(a (^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))))) REDUCED to normal form. ------ 78319/6638784. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 78320/6638913. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 78321/6638964. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 78322/6639174. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(^d.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 78323/6639957. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 78324/6640209. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 78325/6640659. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 78326/6640884. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 78327/6641082. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(a b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(a b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a b))) 5. ==[ beta ]==> (b (^z.(a b))) 6. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 78328/6641538. ------ 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 (^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 78329/6641667. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.b))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.b))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.b))) REDUCED to normal form. ------ 78330/6641826. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((^x1.x1)((a a) a))(^y.(^z.z))) 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. ------ 78331/6641829. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((a a) a))) REDUCED to normal form. ------ 78332/6642000. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 78333/6642429. ------ 1. ==[ start ]==> ((^a.(^b.b))(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. ------ 78334/6642432. ------ 1. ==[ start ]==> ((a (^b.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 78335/6642558. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(^b.(^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. ------ 78336/6642666. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(a (a a)))) REDUCED to normal form. ------ 78337/6642744. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))(^b.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. ------ 78338/6642783. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(z1 (z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^z1.(z1 (z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 78339/6643035. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 78340/6643116. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.c)) REDUCED to normal form. ------ 78341/6643224. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.b)) REDUCED to normal form. ------ 78342/6643242. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(y (^z.z)))) 3. ==[ beta ]==> (b (^y.(y (^z.z)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 78343/6643278. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.b)) 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. ------ 78344/6643350. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(y1 y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78345/6643359. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.a)) REDUCED to normal form. ------ 78346/6643389. ------ 1. ==[ start ]==> ((a a)((^b.b)(a a))) 2. ==[ alpha ]==> ((a a)((^x.x)(a a))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 78347/6643407. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.(^a.a)))(^a.(^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. ------ 78348/6643416. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 78349/6643434. ------ 1. ==[ start ]==> (((a a) a)((b a)(^b.a))) 2. ==[ alpha ]==> (((a a) a)((b a)(^x.a))) REDUCED to normal form. ------ 78350/6643461. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 78351/6643488. ------ 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. ------ 78352/6643497. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 78353/6643515. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 78354/6643524. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)((a a) a))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 78355/6643542. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.b))) REDUCED to normal form. ------ 78356/6643569. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(a a))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 78357/6643659. ------ 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. ------ 78358/6643677. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 78359/6643686. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^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. ------ 78360/6643713. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^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. ------ 78361/6643758. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a) c)) REDUCED to normal form. ------ 78362/6643902. ------ 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) a)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 78363/6643983. ------ 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))))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 78364/6643992. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (a (^a.(^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. ------ 78365/6644019. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 78366/6644055. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 78367/6644073. ------ 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)(^y.y))((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)((b a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 78368/6644100. ------ 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)(^x.x)) a)) REDUCED to normal form. ------ 78369/6644127. ------ 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)(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. ------ 78370/6644181. ------ 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))) REDUCED to normal form. ------ 78371/6644208. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 78372/6644307. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 78373/6644334. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (^z.z))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 78374/6644433. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(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. ------ 78375/6644460. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> (a ((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 78376/6644487. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 78377/6644514. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.b)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.b)) REDUCED to normal form. ------ 78378/6644541. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.a))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 78379/6644631. ------ 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)(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 78380/6644658. ------ 1. ==[ start ]==> (((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))) 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. ------ 78381/6644739. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 78382/6644766. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 78383/6644937. ------ 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. ------ 78384/6644964. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((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. ------ 78385/6645018. ------ 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.x1) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z) a))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y) a))) 9. ==[ beta ]==> ((a a)((a a)((^y.y) a))) 10. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 11. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 78386/6645099. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a (^x.b))((a a) a)) REDUCED to normal form. ------ 78387/6645225. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 78388/6645270. ------ 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 (((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 78389/6645279. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 78390/6645432. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(a (^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a) b)(a (^x.(a a)))) REDUCED to normal form. ------ 78391/6645459. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 78392/6645540. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 78393/6645684. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a a)(a b))((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a a)(a b))((^x.b)(^y.b))) 5. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 78394/6645711. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 78395/6645837. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 78396/6645882. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 78397/6645909. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 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. ------ 78398/6645963. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a b))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 7. ==[ beta ]==> (((^y.y) a)(a b)) 8. ==[ alpha ]==> (((^x.x) a)(a b)) 9. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 78399/6646053. ------ 1. ==[ start ]==> (((a b) b)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 78400/6646080. ------ 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. ------ 78401/6646107. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b)(^y.a))) REDUCED to normal form. ------ 78402/6646134. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 78403/6646188. ------ 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. ------ 78404/6646215. ------ 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) a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.b))) 7. ==[ beta ]==> ((((^y.y) a)(^z.b))(((^y.y) a)(^z.b))) 8. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(^x1.b))) 9. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(^x1.b))) 10. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.b))) 11. ==[ beta ]==> ((a (^x.b))(a (^z.b))) 12. ==[ alpha ]==> ((a (^x.b))(a (^y.b))) REDUCED to normal form. ------ 78405/6646242. ------ 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)))) REDUCED to normal form. ------ 78406/6646269. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 78407/6646296. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 78408/6646332. ------ 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.(^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. ------ 78409/6646359. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 78410/6646413. ------ 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.(^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. ------ 78411/6646467. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)(^z.b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)(^z.b))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.b))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 78412/6646494. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^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. ------ 78413/6646584. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((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. ------ 78414/6646719. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 78415/6646782. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a))(^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. ------ 78416/6646836. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 78417/6646863. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.b))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.b))(^y.(y y))) REDUCED to normal form. ------ 78418/6646917. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78419/6646944. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 78420/6646971. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 78421/6646998. ------ 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. ------ 78422/6647025. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b) b)) REDUCED to normal form. ------ 78423/6647088. ------ 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.(^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)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 78424/6647115. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))(^b.(^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. ------ 78425/6647142. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a)(^c.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. ------ 78426/6647169. ------ 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.z1))(^x2.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.b))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78427/6647196. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^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. ------ 78428/6647394. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(a b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(a b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(a b))) 5. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 78429/6647538. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)(^b.(^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. ------ 78430/6647646. ------ 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. ------ 78431/6647673. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z) c)) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y) c)) 5. ==[ beta ]==> (((a (a a))(^x.b)) c) REDUCED to normal form. ------ 78432/6647745. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(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. ------ 78433/6647808. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 78434/6647853. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 78435/6647952. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(b (^x.a))) REDUCED to normal form. ------ 78436/6647979. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a (^z.b))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a (^z.b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a (^y.b))) 5. ==[ beta ]==> (((a a) a)(a (^y.b))) 6. ==[ alpha ]==> (((a a) a)(a (^x.b))) REDUCED to normal form. ------ 78437/6648033. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^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. ------ 78438/6648060. ------ 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 z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y) a))) 7. ==[ beta ]==> (((a a) a)(((^y.y) a)((^y.y) a))) 8. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> (((a a) a)(a ((^y.y) a))) 10. ==[ alpha ]==> (((a a) a)(a ((^x.x) a))) 11. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 78439/6648087. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 78440/6648141. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)((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. ------ 78441/6648312. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 78442/6648420. ------ 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))((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. ------ 78443/6648447. ------ 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)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 78444/6648537. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) 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. ------ 78445/6648564. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(z z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 78446/6648618. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 78447/6648645. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (a a)) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a)) b)) REDUCED to normal form. ------ 78448/6648672. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a c)) REDUCED to normal form. ------ 78449/6648717. ------ 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))(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. ------ 78450/6648744. ------ 1. ==[ start ]==> ((a (^b.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 78451/6648843. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b (^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a a))(b (^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a a))(b (^x.(x x)))) REDUCED to normal form. ------ 78452/6648870. ------ 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. ------ 78453/6648897. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 78454/6648924. ------ 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)))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 78455/6648951. ------ 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)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 78456/6648978. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a a))) REDUCED to normal form. ------ 78457/6649023. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^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. ------ 78458/6649032. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 78459/6649059. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))(^b.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. ------ 78460/6649068. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(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. ------ 78461/6649095. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(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. ------ 78462/6649230. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 78463/6649338. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 78464/6649347. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a) c)) REDUCED to normal form. ------ 78465/6649374. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a) a)) 3. ==[ beta ]==> ((b a)((^y.a) a)) 4. ==[ alpha ]==> ((b a)((^x.a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 78466/6649392. ------ 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))) REDUCED to normal form. ------ 78467/6649401. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 78468/6649419. ------ 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. ------ 78469/6649473. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b b)) REDUCED to normal form. ------ 78470/6649509. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z)) a)) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z)) a)) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y)) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 78471/6649536. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a) b)) REDUCED to normal form. ------ 78472/6649554. ------ 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 (^y.y)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 78473/6649563. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^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. ------ 78474/6649590. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 78475/6649617. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(^z.z))) REDUCED to normal form. ------ 78476/6649662. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(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. ------ 78477/6649671. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^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. ------ 78478/6649697. ------ 1. ==[ start ]==> (^a.(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (^x.(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (^x.(b (^z.z))) 4. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 78479/6649698. ------ 1. ==[ start ]==> (a (((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (a (((^x.x) b)(^y.y))) 3. ==[ beta ]==> (a (b (^y.y))) 4. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 78480/6655056. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78481/6656013. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a)) a) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y)) a) 3. ==[ beta ]==> ((b (^y.y)) a) 4. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 78482/6656019. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) 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. ------ 78483/6656028. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78484/6656046. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.(^a.a)))(^a.(^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. ------ 78485/6656073. ------ 1. ==[ start ]==> ((^a.b)((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.b)((b a)(^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 78486/6656154. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> (((a b)(^z.a))(^y.y)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 78487/6656271. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.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. ------ 78488/6656343. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) b) a)) 3. ==[ eta ]==> ((^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. ------ 78489/6656652. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 78490/6656976. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^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. ------ 78491/6657570. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 78492/6657909. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(^a.a))(^a.(^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. ------ 78493/6658137. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 78494/6658296. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.a))((^z.(^x1.x1))(^y1.a)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a)))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(^x2.a)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.a)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.a))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.a))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 78495/6659388. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 78496/6660243. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.y))((a a)(^z.z))) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 78497/6660441. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 b))) REDUCED to normal form. ------ 78498/6660783. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.((a a) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((a a) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 78499/6660945. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(^c.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. ------ 78500/6661107. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 78501/6661242. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 78502/6661374. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78503/6661377. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 78504/6661689. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z)) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 78505/6661728. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 78506/6662007. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x) 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. ------ 78507/6662142. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.c)) 5. ==[ beta ]==> ((^y.(a a))(^z.c)) 6. ==[ alpha ]==> ((^x.(a a))(^y.c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 78508/6662187. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(^a.(^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. ------ 78509/6662196. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 78510/6662223. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 78511/6662295. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78512/6662304. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(y1 y1))) REDUCED to normal form. ------ 78513/6662331. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.z)) 3. ==[ beta ]==> ((b (^y.y))(^z.z)) 4. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 78514/6662343. ------ 1. ==[ start ]==> ((a a)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.y))) 3. ==[ beta ]==> ((a a)(b (^y.y))) 4. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 78515/6662352. ------ 1. ==[ start ]==> ((a (^a.a))((^b.b)(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 78516/6662370. ------ 1. ==[ start ]==> ((a (a a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 78517/6662379. ------ 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. ------ 78518/6662397. ------ 1. ==[ start ]==> ((a b)((b a)(^b.a))) 2. ==[ alpha ]==> ((a b)((b a)(^x.a))) REDUCED to normal form. ------ 78519/6662451. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(a a))(^b.(^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. ------ 78520/6662478. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.a))) REDUCED to normal form. ------ 78521/6662487. ------ 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 ]==> ((^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. ------ 78522/6662541. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 78523/6662568. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 78524/6662595. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(b a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(b a))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 78525/6662613. ------ 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. ------ 78526/6662640. ------ 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. ------ 78527/6662667. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b) a)) 3. ==[ beta ]==> ((a a)(((^y.y) b) a)) 4. ==[ alpha ]==> ((a a)(((^x.x) b) a)) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 78528/6662676. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 78529/6662703. ------ 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)))(^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. ------ 78530/6662784. ------ 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.(^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. ------ 78531/6662946. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^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. ------ 78532/6662973. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(^b.b))) 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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78533/6663009. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.(^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))) REDUCED to normal form. ------ 78534/6663036. ------ 1. ==[ start ]==> (((a (a a)) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 78535/6663063. ------ 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))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 78536/6663090. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(a (a a)))) REDUCED to normal form. ------ 78537/6663117. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((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. ------ 78538/6663144. ------ 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. ------ 78539/6663252. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))(b a))) 3. ==[ beta ]==> ((b b)((a (^y.y))(b a))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(b a))) REDUCED to normal form. ------ 78540/6663297. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78541/6663324. ------ 1. ==[ start ]==> (((^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))) 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. ------ 78542/6663432. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 78543/6663513. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((^z.z)(a a)))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 78544/6663585. ------ 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))))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 78545/6663612. ------ 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)) REDUCED to normal form. ------ 78546/6663639. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((b a) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))((b a) b)) 5. ==[ beta ]==> ((a a)((b a) b)) REDUCED to normal form. ------ 78547/6663756. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.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. ------ 78548/6663810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> (a ((^z.(z z))(^x1.(a a)))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(a a)))) 7. ==[ beta ]==> (a ((^y.(a a))(^y.(a a)))) 8. ==[ alpha ]==> (a ((^x.(a a))(^y.(a a)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 78549/6663846. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y) b)(c ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)(c ((a a)(^y.y)))) 5. ==[ beta ]==> (b (c ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (c ((a a)(^x.x)))) REDUCED to normal form. ------ 78550/6663873. ------ 1. ==[ start ]==> ((((a a) a) a)(b (b a))) REDUCED to normal form. ------ 78551/6663891. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^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. ------ 78552/6663927. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(a a))) REDUCED to normal form. ------ 78553/6663954. ------ 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)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 78554/6663981. ------ 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.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.a))((a a) a)) REDUCED to normal form. ------ 78555/6664008. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78556/6664035. ------ 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)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 78557/6664206. ------ 1. ==[ start ]==> ((((a a) a)(a a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((b a)(^x.x))) REDUCED to normal form. ------ 78558/6664233. ------ 1. ==[ start ]==> ((a (a b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 78559/6664242. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 78560/6664404. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.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. ------ 78561/6664431. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^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. ------ 78562/6664458. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 78563/6664593. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 78564/6664620. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 78565/6664791. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 78566/6664800. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a)) c)) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 78567/6665052. ------ 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))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 78568/6665079. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 78569/6665133. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78570/6665214. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^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. ------ 78571/6665286. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a)) b)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a))((a a) b)) REDUCED to normal form. ------ 78572/6665313. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b) c)) REDUCED to normal form. ------ 78573/6665439. ------ 1. ==[ start ]==> (((^a.b) c)(c (a b))) 2. ==[ alpha ]==> (((^x.b) c)(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 78574/6665673. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 78575/6665682. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(a b))) REDUCED to normal form. ------ 78576/6665709. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 78577/6665754. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 78578/6665781. ------ 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 (^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. ------ 78579/6665835. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^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) a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(a (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. ------ 78580/6665916. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^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. ------ 78581/6666177. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 78582/6666204. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.b) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.b) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b) b)) 5. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 78583/6666348. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (^z.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (^z.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.b))) 5. ==[ beta ]==> (b (b (^z.b))) 6. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 78584/6666429. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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) REDUCED to normal form. ------ 78585/6666537. ------ 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))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 78586/6666564. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 78587/6666618. ------ 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)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 78588/6666699. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)(^b.(^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. ------ 78589/6666708. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(c (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(c (^y.y))) REDUCED to normal form. ------ 78590/6666735. ------ 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. ------ 78591/6666762. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a b))) REDUCED to normal form. ------ 78592/6666825. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^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. ------ 78593/6666960. ------ 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)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 78594/6666987. ------ 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.(^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)))) 5. ==[ beta ]==> (((a b)(a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 78595/6667014. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (a a))(^z.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a 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. ------ 78596/6667041. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 78597/6667104. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((a a) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 78598/6667185. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((a a)((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.a))) 7. ==[ beta ]==> ((a a)((^y.a)(^y.a))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 78599/6667266. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(^c.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. ------ 78600/6667383. ------ 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. ------ 78601/6667401. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (^b.(^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. ------ 78602/6667410. ------ 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)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 78603/6667428. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 78604/6667482. ------ 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.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a (^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a (^y.y)))) 9. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a (^y.y)))) 10. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 78605/6667518. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c d)) 3. ==[ beta ]==> (((^y.y)(^z.b))(c d)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c d)) 5. ==[ beta ]==> ((^y.b)(c d)) 6. ==[ alpha ]==> ((^x.b)(c d)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 78606/6667563. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.x1)((^y1.y1)(^z1.z1)))) 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. ------ 78607/6667671. ------ 1. ==[ start ]==> (((^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 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. ------ 78608/6667680. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (a (a a)))) REDUCED to normal form. ------ 78609/6667698. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 78610/6667716. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1)) 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. ------ 78611/6667743. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y)) b)) 3. ==[ beta ]==> (((a (^x.x))(b a))(b b)) REDUCED to normal form. ------ 78612/6667770. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a) c)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a) c)) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 78613/6667851. ------ 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. ------ 78614/6667878. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 78615/6667905. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (^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))) REDUCED to normal form. ------ 78616/6667932. ------ 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 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. ------ 78617/6667986. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a b)) REDUCED to normal form. ------ 78618/6668013. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y)) c)) 3. ==[ beta ]==> ((a b)((a (^y.y)) c)) 4. ==[ alpha ]==> ((a b)((a (^x.x)) c)) REDUCED to normal form. ------ 78619/6668022. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))(^b.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. ------ 78620/6668049. ------ 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)(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)(^x2.(x2 x2)))) 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. ------ 78621/6668184. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 78622/6668292. ------ 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.(^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. ------ 78623/6668301. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (a (^z.z)))) REDUCED to normal form. ------ 78624/6668328. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a ((^y.y) a))) 3. ==[ beta ]==> ((b a)(a ((^y.y) a))) 4. ==[ alpha ]==> ((b a)(a ((^x.x) a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 78625/6668346. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c (^a.a))) 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. ------ 78626/6668355. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 78627/6668373. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (^a.(^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. ------ 78628/6668382. ------ 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. ------ 78629/6668427. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(^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)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 78630/6668463. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a c)) 5. ==[ beta ]==> ((^y.(a a))(a c)) 6. ==[ alpha ]==> ((^x.(a a))(a c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 78631/6668490. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b (a a))) REDUCED to normal form. ------ 78632/6668508. ------ 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)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 78633/6668517. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 78634/6668544. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 78635/6668571. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b a)) REDUCED to normal form. ------ 78636/6668616. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78637/6668625. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (a a))) REDUCED to normal form. ------ 78638/6668652. ------ 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. ------ 78639/6671823. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1)) 7. ==[ beta ]==> (((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1)) 8. ==[ alpha ]==> (((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2)) 9. ==[ beta ]==> ((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2)) 10. ==[ alpha ]==> ((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2)) 11. ==[ beta ]==> (((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2)) 12. ==[ alpha ]==> (((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2)) 13. ==[ beta ]==> ((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2)) 14. ==[ alpha ]==> ((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) 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)) UNREDUCED: maximal number of reductions reached. ------ 78640/6674976. ------ 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. ------ 78641/6675000. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78642/6675081. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 78643/6675936. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 78644/6677397. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(b x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((^z.z) a)) b) 4. ==[ beta ]==> (((^y.y)((^z.z) a)) b) 5. ==[ alpha ]==> (((^x.x)((^y.y) a)) b) 6. ==[ beta ]==> (((^y.y) a) b) 7. ==[ alpha ]==> (((^x.x) a) b) 8. ==[ beta ]==> (a b) REDUCED to normal form. ------ 78645/6677475. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(((a b)((^z.z) a))((a b)((^z.z) a)))) 4. ==[ alpha ]==> ((^x.x)(((a b)((^y.y) a))((a b)((^z.z) a)))) 5. ==[ beta ]==> (((a b)((^y.y) a))((a b)((^z.z) a))) 6. ==[ alpha ]==> (((a b)((^x.x) a))((a b)((^y.y) a))) 7. ==[ beta ]==> (((a b) a)((a b)((^y.y) a))) 8. ==[ alpha ]==> (((a b) a)((a b)((^x.x) a))) 9. ==[ beta ]==> (((a b) a)((a b) a)) REDUCED to normal form. ------ 78646/6677901. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 78647/6678150. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((a ((a a)(^z.z)))(a ((a a)(^z.z))))(^y.y)) 4. ==[ alpha ]==> (((a ((a a)(^x.x)))(a ((a a)(^y.y))))(^z.z)) REDUCED to normal form. ------ 78648/6678153. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 78649/6678603. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 78650/6678828. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 78651/6678906. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ eta ]==> (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. ------ 78652/6679413. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.x1))) REDUCED to normal form. ------ 78653/6680214. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 78654/6680223. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 78655/6680367. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 78656/6680475. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 78657/6680661. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c (a (^z.z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 78658/6680979. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.a))) 3. ==[ beta ]==> ((b a)(^y.(^z.a))) 4. ==[ alpha ]==> ((b a)(^x.(^y.a))) REDUCED to normal form. ------ 78659/6681114. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a (^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 78660/6681159. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 78661/6681168. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 78662/6681222. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 78663/6681276. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.z1))) REDUCED to normal form. ------ 78664/6681303. ------ 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. ------ 78665/6681333. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((a (^x.x))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 78666/6681342. ------ 1. ==[ start ]==> (((^a.a) a)((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 3. ==[ beta ]==> (a ((^y.y)(a a))) 4. ==[ alpha ]==> (a ((^x.x)(a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 78667/6681360. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.(^a.a)))(^a.(^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. ------ 78668/6681369. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 78669/6681387. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a)(^b.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. ------ 78670/6681414. ------ 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 x1)))) REDUCED to normal form. ------ 78671/6681423. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 78672/6681450. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 78673/6681468. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 78674/6681477. ------ 1. ==[ start ]==> (((a a) b)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.b)((a a) a))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 78675/6681495. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((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. ------ 78676/6681522. ------ 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))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(a a))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 78677/6681531. ------ 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.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. ------ 78678/6681558. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 78679/6681612. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^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. ------ 78680/6681657. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b) a)) 3. ==[ beta ]==> ((^y.a)(((^z.z) b) a)) 4. ==[ alpha ]==> ((^x.a)(((^y.y) b) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 78681/6681684. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1))) 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. ------ 78682/6681693. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.(^a.a)))(^a.(^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. ------ 78683/6681747. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 78684/6681774. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 78685/6681801. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 78686/6682008. ------ 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 ]==> (((^y.y)(^y.y))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 8. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 78687/6682161. ------ 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)))((^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. ------ 78688/6682188. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a (a a))(a a))) REDUCED to normal form. ------ 78689/6682215. ------ 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. ------ 78690/6682233. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (^d.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (^y.a))) 3. ==[ beta ]==> ((b b)(c (^y.a))) 4. ==[ alpha ]==> ((b b)(c (^x.a))) REDUCED to normal form. ------ 78691/6682242. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 78692/6682269. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 78693/6682305. ------ 1. ==[ start ]==> (((^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))) 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. ------ 78694/6682359. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 78695/6682368. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 78696/6682395. ------ 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 a)) REDUCED to normal form. ------ 78697/6682413. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 78698/6682422. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 78699/6682476. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 78700/6682494. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 78701/6682503. ------ 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.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. ------ 78702/6682530. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 7. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 78703/6682827. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.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. ------ 78704/6682899. ------ 1. ==[ start ]==> (((^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))) 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 ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 78705/6683052. ------ 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. ------ 78706/6683079. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (a a))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(a b))) REDUCED to normal form. ------ 78707/6683106. ------ 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)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) 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. ------ 78708/6683133. ------ 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)))) REDUCED to normal form. ------ 78709/6683160. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(b a))) 5. ==[ beta ]==> ((a (^y.y))((a a)(b a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(b a))) REDUCED to normal form. ------ 78710/6683223. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(^a.a))(^a.(^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. ------ 78711/6683304. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) IRREDUCIBLE: cycle. ------ 78712/6683367. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(a b))) 3. ==[ beta ]==> ((((a a) a) b)((a b)(a b))) REDUCED to normal form. ------ 78713/6683385. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(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. ------ 78714/6683394. ------ 1. ==[ start ]==> (((a b) a)((^b.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. ------ 78715/6683412. ------ 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)))) REDUCED to normal form. ------ 78716/6683421. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^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. ------ 78717/6683493. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a)(^y.y)) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^y.y)) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 78718/6683529. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(a a))(^b.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. ------ 78719/6683556. ------ 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. ------ 78720/6683583. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.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. ------ 78721/6683700. ------ 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. ------ 78722/6683727. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(a (b a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(a (b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(a (b a))) 5. ==[ beta ]==> (((^y.y) a)(a (b a))) 6. ==[ alpha ]==> (((^x.x) a)(a (b a))) 7. ==[ beta ]==> (a (a (b a))) REDUCED to normal form. ------ 78723/6683754. ------ 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.y))(a a))) REDUCED to normal form. ------ 78724/6683781. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(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. ------ 78725/6683808. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a 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))) 5. ==[ beta ]==> ((a (a a))((a b) a)) REDUCED to normal form. ------ 78726/6684033. ------ 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. ------ 78727/6684042. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 78728/6684060. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b)(^b.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. ------ 78729/6684069. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 78730/6684114. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 14. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 15. ==[ beta ]==> (^y.(^z.z)) 16. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 78731/6684123. ------ 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)(^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. ------ 78732/6684150. ------ 1. ==[ start ]==> ((((^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) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((a a) a))) 7. ==[ beta ]==> (((^y.(y y))((a a) a))((^y.(y y))((a a) a))) 8. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))((a a) a))) 9. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))((a a) a))) 10. ==[ alpha ]==> ((((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))) REDUCED to normal form. ------ 78733/6684177. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.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. ------ 78734/6684195. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((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. ------ 78735/6684204. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 78736/6684231. ------ 1. ==[ start ]==> ((((^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)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 78737/6684420. ------ 1. ==[ start ]==> (((^a.b) c)((^b.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. ------ 78738/6684429. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (a b))) REDUCED to normal form. ------ 78739/6684456. ------ 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. ------ 78740/6684483. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 78741/6684519. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(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 a) REDUCED to normal form. ------ 78742/6684663. ------ 1. ==[ start ]==> (((a b) c)(c (^a.b))) 2. ==[ alpha ]==> (((a b) c)(c (^x.b))) REDUCED to normal form. ------ 78743/6684690. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 78744/6684735. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 78745/6684762. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b)(^a.(^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. ------ 78746/6684771. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 78747/6684798. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 78748/6684816. ------ 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)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(y y))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(x x))) REDUCED to normal form. ------ 78749/6684852. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78750/6684879. ------ 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))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 78751/6684897. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((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. ------ 78752/6684906. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 78753/6684933. ------ 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. ------ 78754/6684960. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 78755/6685131. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (a b))) REDUCED to normal form. ------ 78756/6685158. ------ 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. ------ 78757/6685185. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a b)(a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a b)(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(a a))) REDUCED to normal form. ------ 78758/6685212. ------ 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. ------ 78759/6685239. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (b a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a (b a))((^x.x)((^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. ------ 78760/6685410. ------ 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. ------ 78761/6685473. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 78762/6685518. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b 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. ------ 78763/6685545. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 78764/6685581. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.z))) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 78765/6685599. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a) a) b)) 3. ==[ beta ]==> (((a b)(a b))(((a a) a) b)) REDUCED to normal form. ------ 78766/6685608. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a)(^a.(^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. ------ 78767/6685662. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 78768/6685689. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)(^b.(^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. ------ 78769/6685716. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))(^c.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. ------ 78770/6685743. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 78771/6685806. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)(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. ------ 78772/6685833. ------ 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 a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 78773/6685860. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(a (a a)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a (a a)))) 7. ==[ beta ]==> ((a (a a))(a (a (a a)))) REDUCED to normal form. ------ 78774/6685887. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 78775/6685914. ------ 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. ------ 78776/6686067. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 78777/6686166. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a)) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a)) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a)) c)) 5. ==[ beta ]==> ((a a)((a (a a)) c)) REDUCED to normal form. ------ 78778/6686391. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 78779/6686463. ------ 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.(^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. ------ 78780/6686472. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 78781/6686499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.b)((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 78782/6686544. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 78783/6686553. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 78784/6686580. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 78785/6686607. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 78786/6686661. ------ 1. ==[ start ]==> (((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 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. ------ 78787/6686697. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a ((^z.z)(^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. ------ 78788/6686724. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a))(a a))) REDUCED to normal form. ------ 78789/6686751. ------ 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. ------ 78790/6686778. ------ 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. ------ 78791/6686805. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a a)(a (a a)))) 5. ==[ beta ]==> ((a b)((a a)(a (a a)))) REDUCED to normal form. ------ 78792/6686958. ------ 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. ------ 78793/6686994. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c (a (^y.y)))) 3. ==[ beta ]==> ((a b)(c (a (^y.y)))) 4. ==[ alpha ]==> ((a b)(c (a (^x.x)))) REDUCED to normal form. ------ 78794/6687003. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a)) 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) REDUCED to normal form. ------ 78795/6687165. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 78796/6687273. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 78797/6687282. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))(^a.(^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. ------ 78798/6687309. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)(^z.a))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 78799/6687327. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 78800/6687336. ------ 1. ==[ start ]==> (((a a)(^b.b))(c (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(c (^y.y))) REDUCED to normal form. ------ 78801/6687354. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) 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. ------ 78802/6687363. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) REDUCED to normal form. ------ 78803/6687408. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 78804/6687444. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 78805/6687471. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^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. ------ 78806/6687489. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 78807/6687498. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(^a.(^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. ------ 78808/6687525. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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))) REDUCED to normal form. ------ 78809/6687552. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 78810/6687597. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((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. ------ 78811/6687606. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^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. ------ 78812/6687633. ------ 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))) REDUCED to normal form. ------ 78813/6687978. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^y.y)(^z.((^x1.x1) z))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) y))) 5. ==[ eta ]==> ((^x.x)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78814/6690813. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.x2)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78815/6693966. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a)) c) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y)) c) 3. ==[ beta ]==> ((b (^y.y)) c) 4. ==[ alpha ]==> ((b (^x.x)) c) REDUCED to normal form. ------ 78816/6694017. ------ 1. ==[ start ]==> ((^a.(a a))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^y.y)(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. ------ 78817/6694044. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 78818/6694125. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^z.(a a))((^x1.x1)(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(a a))((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((a a)(^x1.x1)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 78819/6694314. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)((^x1.x1) b))) 3. ==[ eta ]==> ((^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. ------ 78820/6694317. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a ((^x.x) a))(^z.z)) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 78821/6694809. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 78822/6694935. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (^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. ------ 78823/6694947. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(a (^a.(^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. ------ 78824/6695262. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 78825/6695367. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((^y.(a a))(^z.(z z)))((^y.(a a))(^z.(z z))))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.(a a))(^y.(y y)))((^z.(a a))(^x1.(x1 x1))))((^y1.(a a))(^z1.(z1 z1)))) 5. ==[ beta ]==> (((a a)((^z.(a a))(^x1.(x1 x1))))((^y1.(a a))(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((a a)((^x.(a a))(^y.(y y))))((^z.(a a))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((a a)(a a))((^z.(a a))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(y y)))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 78826/6695568. ------ 1. ==[ start ]==> (((^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.x2))))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 (^z1.(^x2.x2))))) 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. ------ 78827/6695700. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 78828/6695856. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 78829/6696648. ------ 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)))) REDUCED to normal form. ------ 78830/6697152. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 78831/6697827. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 78832/6698454. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a) a)(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 78833/6698610. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 78834/6698742. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 78835/6699078. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 78836/6699222. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 78837/6699345. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78838/6699366. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 78839/6699501. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 78840/6699660. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a)(^a.(^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. ------ 78841/6699978. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.c)) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.y)) 3. ==[ beta ]==> ((b a)(^y.y)) 4. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 78842/6699996. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)((^y.y) 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. ------ 78843/6700113. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.(^a.(^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. ------ 78844/6700167. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.b)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.b)) REDUCED to normal form. ------ 78845/6700221. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 78846/6700266. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78847/6700302. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.a)) 3. ==[ beta ]==> ((b (^y.y))(^z.a)) 4. ==[ alpha ]==> ((b (^x.x))(^y.a)) REDUCED to normal form. ------ 78848/6700350. ------ 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))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 78849/6700359. ------ 1. ==[ start ]==> ((a (a a))((^b.b)(a a))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 78850/6700377. ------ 1. ==[ start ]==> (((a a) a)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 78851/6700386. ------ 1. ==[ start ]==> ((a b)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 78852/6700404. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 78853/6700431. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 78854/6700458. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 78855/6700467. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 78856/6700485. ------ 1. ==[ start ]==> (((a a) b)((a b)(^c.a))) 2. ==[ alpha ]==> (((a a) b)((a b)(^x.a))) REDUCED to normal form. ------ 78857/6700512. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(^y.b))) REDUCED to normal form. ------ 78858/6700539. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 78859/6700602. ------ 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. ------ 78860/6700620. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 78861/6700629. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^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. ------ 78862/6700656. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x) 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)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 78863/6700701. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 78864/6700728. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b a) c)) 2. ==[ alpha ]==> ((((^x.x) a) a)((b a) c)) 3. ==[ beta ]==> ((a a)((b a) c)) REDUCED to normal form. ------ 78865/6700872. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(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. ------ 78866/6700962. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (a (^a.(^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. ------ 78867/6700998. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 78868/6701016. ------ 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 ]==> (((^y.y)(^y.y))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((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)) REDUCED to normal form. ------ 78869/6701025. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 78870/6701043. ------ 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. ------ 78871/6701070. ------ 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))((^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. ------ 78872/6701079. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 78873/6701124. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 78874/6701151. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 78875/6701277. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^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))))) REDUCED to normal form. ------ 78876/6701286. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78877/6701376. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 78878/6701403. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (a (((^y.y)(a a))(^z.(z z)))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(y y)))) 7. ==[ beta ]==> (a ((a a)(^y.(y y)))) 8. ==[ alpha ]==> (a ((a a)(^x.(x x)))) REDUCED to normal form. ------ 78879/6701430. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 78880/6701484. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.b))) 7. ==[ beta ]==> ((a (^x.a))(^z.b)) 8. ==[ alpha ]==> ((a (^x.a))(^y.b)) REDUCED to normal form. ------ 78881/6701511. ------ 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. ------ 78882/6701574. ------ 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)(^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. ------ 78883/6701601. ------ 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 (^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. ------ 78884/6701628. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 78885/6701709. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 78886/6701880. ------ 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. ------ 78887/6701907. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a (a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^y1.(^z1.z1))))) 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. ------ 78888/6701916. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^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)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 78889/6701961. ------ 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)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a a)(((a a)(^y.y))(a (^z.z)))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 78890/6701970. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 78891/6702042. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.b))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.y))) REDUCED to normal form. ------ 78892/6702195. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 78893/6702213. ------ 1. ==[ start ]==> (((^a.b) a)((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)((b a)(^y.y))) 3. ==[ beta ]==> (b ((b a)(^y.y))) 4. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 78894/6702375. ------ 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. ------ 78895/6702402. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) 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. ------ 78896/6702429. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 78897/6702483. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 78898/6702510. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 78899/6702537. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a)) c)) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a)) c)) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a)) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 78900/6702627. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^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. ------ 78901/6702654. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 78902/6702681. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 78903/6702780. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 78904/6702825. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.(a a))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((^x.(a a))((a b)((^y.y) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 78905/6702852. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 78906/6702906. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^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. ------ 78907/6702987. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 78908/6703023. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a)(^a.a))(^a.a))) 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. ------ 78909/6703050. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a))(^a.(^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. ------ 78910/6703077. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b)(^z.a))) REDUCED to normal form. ------ 78911/6703131. ------ 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.(^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. ------ 78912/6703185. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)(^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. ------ 78913/6703212. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 78914/6703302. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a))(^a.(^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. ------ 78915/6703329. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b)(^b.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. ------ 78916/6703383. ------ 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.(^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)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 78917/6703437. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.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. ------ 78918/6703464. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^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. ------ 78919/6703527. ------ 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)(((^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. ------ 78920/6703662. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 78921/6703779. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 78922/6703806. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a)(^b.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. ------ 78923/6703860. ------ 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.(^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. ------ 78924/6703914. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 78925/6703941. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 78926/6703968. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^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))(^y.y))((a a) a)) REDUCED to normal form. ------ 78927/6704004. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 78928/6704058. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^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. ------ 78929/6704085. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a))(^b.(^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. ------ 78930/6704112. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.a))) 7. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 8. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 9. ==[ beta ]==> ((^y.a)(^z.a)) 10. ==[ alpha ]==> ((^x.a)(^y.a)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 78931/6704139. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^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. ------ 78932/6704166. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 78933/6704337. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))((a a) a))) 5. ==[ beta ]==> (b ((a (^z.z))((a a) a))) 6. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 78934/6704481. ------ 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 y)))) REDUCED to normal form. ------ 78935/6704589. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a b) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((a b) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((a b) a)) REDUCED to normal form. ------ 78936/6704616. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a) a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a) a) b)) REDUCED to normal form. ------ 78937/6704796. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(a a))) REDUCED to normal form. ------ 78938/6704895. ------ 1. ==[ start ]==> (((a (a a))(a b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 78939/6704922. ------ 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. ------ 78940/6704949. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (^z.b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (^z.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 78941/6704976. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(a a))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 78942/6705003. ------ 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 (^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)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 78943/6705030. ------ 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 z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a ((^z.z) a))) 7. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 78944/6705075. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 78945/6705084. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))((^y1.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. ------ 78946/6705255. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 78947/6705363. ------ 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))(((^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. ------ 78948/6705390. ------ 1. ==[ start ]==> (((^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)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 78949/6705417. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 78950/6705480. ------ 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. ------ 78951/6705507. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 78952/6705561. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 78953/6705588. ------ 1. ==[ start ]==> ((((^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)) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 78954/6705615. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a)) b)) REDUCED to normal form. ------ 78955/6705687. ------ 1. ==[ start ]==> ((a (^b.b))(b (a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (a (a a)))) REDUCED to normal form. ------ 78956/6705705. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)(^b.(^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. ------ 78957/6705813. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a b))(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 78958/6705840. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 78959/6705867. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(a a))) 5. ==[ beta ]==> (((a b)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 78960/6705894. ------ 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)))) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 78961/6705921. ------ 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)(^x.x)) 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)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 78962/6705966. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 78963/6705975. ------ 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))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 78964/6706002. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a)(^a.(^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. ------ 78965/6706011. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(c (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(c (a (^y.y)))) 5. ==[ beta ]==> (c (a (^y.y))) 6. ==[ alpha ]==> (c (a (^x.x))) REDUCED to normal form. ------ 78966/6706038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b ((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(b ((^z1.z1) 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. ------ 78967/6706173. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d a)) 3. ==[ beta ]==> (b (d a)) REDUCED to normal form. ------ 78968/6706290. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z)) b)) REDUCED to normal form. ------ 78969/6706317. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a) c)) 2. ==[ alpha ]==> ((((^x.x) b) a)((a a) c)) 3. ==[ beta ]==> ((b a)((a a) c)) REDUCED to normal form. ------ 78970/6706335. ------ 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. ------ 78971/6706344. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a) a)) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 78972/6706362. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(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. ------ 78973/6706371. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) 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. ------ 78974/6706452. ------ 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.(^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. ------ 78975/6706479. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y)) a)) REDUCED to normal form. ------ 78976/6706497. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b (a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 78977/6706506. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((a a) b)) REDUCED to normal form. ------ 78978/6706533. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(^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. ------ 78979/6706560. ------ 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))(^y.(y y))) b) REDUCED to normal form. ------ 78980/6706605. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(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. ------ 78981/6706614. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a) a)) REDUCED to normal form. ------ 78982/6706641. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.z) a)) 3. ==[ beta ]==> ((b (^y.y))((^z.z) a)) 4. ==[ alpha ]==> ((b (^x.x))((^y.y) a)) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 78983/6713043. ------ 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)(^z.z))(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z) b)(^x1.x1))) 5. ==[ beta ]==> ((b (^y.y))(((^z.z) b)(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))(((^y.y) b)(^z.z))) 7. ==[ beta ]==> ((b (^x.x))(b (^z.z))) 8. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 78984/6713070. ------ 1. ==[ start ]==> ((^a.b)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 78985/6713151. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.z)(a a))(^x1.(^y1.y1)))(^y.y)) 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. ------ 78986/6713268. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> (^x.(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> (^x.(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 78987/6713340. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(^z.z))) 3. ==[ eta ]==> ((^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. ------ 78988/6713352. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)(^y.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. ------ 78989/6713511. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 78990/6713685. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) 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)(^x.b)) REDUCED to normal form. ------ 78991/6714000. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 78992/6714594. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.(^y2.y2))))) 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. ------ 78993/6714603. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) REDUCED to normal form. ------ 78994/6714906. ------ 1. ==[ start ]==> ((^a.(a b))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((b a)(^y.y))) 3. ==[ beta ]==> (((b a)(^y.y)) b) 4. ==[ alpha ]==> (((b a)(^x.x)) b) REDUCED to normal form. ------ 78995/6715293. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.(^y1.y1)))((^z.a)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(a ((^y1.a)(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.(^x1.x1))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 78996/6715500. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.y)(((^z.(a a)) c)((^z.(a a)) c))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a)) c)((^z.(a a)) c))) 5. ==[ beta ]==> (((^y.(a a)) c)((^z.(a a)) c)) 6. ==[ alpha ]==> (((^x.(a a)) c)((^y.(a a)) c)) 7. ==[ beta ]==> ((a a)((^y.(a a)) c)) 8. ==[ alpha ]==> ((a a)((^x.(a a)) c)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 78997/6715683. ------ 1. ==[ start ]==> (((a b) b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 78998/6716931. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a) c)) 2. ==[ alpha ]==> ((^x.(b x))((^y.a) c)) 3. ==[ eta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 78999/6717768. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x1.x1))(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 79000/6718371. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79001/6718686. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 79002/6718860. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 79003/6719022. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.a))) 5. ==[ beta ]==> (b (^y.(^z.a))) 6. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 79004/6719031. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 79005/6719103. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 79006/6719166. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.c)) REDUCED to normal form. ------ 79007/6719193. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 79008/6719220. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.(a (^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)))) REDUCED to normal form. ------ 79009/6719292. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79010/6719301. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.b)) REDUCED to normal form. ------ 79011/6719328. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^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))) REDUCED to normal form. ------ 79012/6719394. ------ 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. ------ 79013/6719403. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 79014/6719421. ------ 1. ==[ start ]==> ((a b)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 79015/6719430. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 79016/6719475. ------ 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 y)))) REDUCED to normal form. ------ 79017/6719502. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(a a))(^b.(^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. ------ 79018/6719511. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79019/6719538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 79020/6719592. ------ 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.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. ------ 79021/6719619. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.a))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 79022/6719664. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 79023/6719691. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 79024/6719700. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.a)((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.a)((^y.y)((^z.z) b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 79025/6719727. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79026/6719862. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 79027/6719997. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^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. ------ 79028/6720033. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a ((^y.y) b))) 3. ==[ beta ]==> ((a b)(a ((^y.y) b))) 4. ==[ alpha ]==> ((a b)(a ((^x.x) b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 79029/6720060. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 79030/6720087. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 79031/6720114. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 79032/6720141. ------ 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 (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. ------ 79033/6720168. ------ 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. ------ 79034/6720276. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((b b)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((b b)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((b b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 79035/6720321. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79036/6720348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 79037/6720456. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(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. ------ 79038/6720483. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(^y1.y1)))) 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. ------ 79039/6720537. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 79040/6720636. ------ 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.(^z.(^x1.x1))))) REDUCED to normal form. ------ 79041/6720663. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z))) a)) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 79042/6720690. ------ 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. ------ 79043/6720780. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)(^b.(^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. ------ 79044/6720834. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 79045/6720942. ------ 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)((^y1.y1)(^z1.(^x2.(^y2.y2))))) 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. ------ 79046/6720951. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 79047/6720978. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((b a)(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((b a)(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((b a)(a a))) REDUCED to normal form. ------ 79048/6721005. ------ 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 (^z.z)))) REDUCED to normal form. ------ 79049/6721032. ------ 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.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79050/6721059. ------ 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. ------ 79051/6721257. ------ 1. ==[ start ]==> ((a (a b))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (a b))((b a)(^x.x))) REDUCED to normal form. ------ 79052/6721347. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(a (a a)))) IRREDUCIBLE: cycle. ------ 79053/6721428. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))(a b))) 3. ==[ beta ]==> (b ((^z.(z z))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 79054/6721455. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.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. ------ 79055/6721482. ------ 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)(^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. ------ 79056/6721617. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 79057/6721644. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 79058/6721815. ------ 1. ==[ start ]==> (((^a.b) b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) b)(((a a)(^y.y))(a a))) 3. ==[ beta ]==> (b (((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 79059/6721824. ------ 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))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 79060/6721851. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a)) c)) 3. ==[ beta ]==> ((a (a a))((^y.(a a)) c)) 4. ==[ alpha ]==> ((a (a a))((^x.(a a)) c)) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 79061/6722022. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b (^c.(^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. ------ 79062/6722031. ------ 1. ==[ start ]==> (((a b) b)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 79063/6722103. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 79064/6722238. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.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. ------ 79065/6722310. ------ 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)(a a))(((a a)(^y.y)) a)) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 79066/6722337. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a) b)) REDUCED to normal form. ------ 79067/6722364. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a b) c)) 3. ==[ beta ]==> ((a ((a a) a))((a b) c)) REDUCED to normal form. ------ 79068/6722463. ------ 1. ==[ start ]==> (((^a.b) c)(d ((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)(d ((a a) a))) 3. ==[ beta ]==> (b (d ((a a) a))) REDUCED to normal form. ------ 79069/6722706. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)((a a) a))) 3. ==[ beta ]==> (((a b) c)(a ((a a) a))) REDUCED to normal form. ------ 79070/6722733. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 79071/6722760. ------ 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. ------ 79072/6722805. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^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. ------ 79073/6722940. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.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. ------ 79074/6723039. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a b) b)) REDUCED to normal form. ------ 79075/6723228. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(a a)) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a)) a)) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 79076/6723255. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.b) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 79077/6723282. ------ 1. ==[ start ]==> ((a (b a))((^c.a) c)) 2. ==[ alpha ]==> ((a (b a))((^x.a) c)) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 79078/6723372. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (^c.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. ------ 79079/6723453. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 79080/6723561. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 79081/6723588. ------ 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.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. ------ 79082/6723642. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a b)(a b))((^y.b)(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))((^x.b)(^y.y))) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 79083/6723723. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^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. ------ 79084/6723759. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))(c (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.a))(c (^y.y))) REDUCED to normal form. ------ 79085/6723786. ------ 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. ------ 79086/6723849. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a) b)) 2. ==[ alpha ]==> (((a a)(b a))((^x.a) b)) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 79087/6723876. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1)) c)) 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. ------ 79088/6724011. ------ 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. ------ 79089/6724038. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y) 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) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^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)))) 9. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 10. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 79090/6724065. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 79091/6724119. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 79092/6724128. ------ 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))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 79093/6724209. ------ 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))(^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. ------ 79094/6724290. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^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. ------ 79095/6724407. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 79096/6724434. ------ 1. ==[ start ]==> (((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 a)))) REDUCED to normal form. ------ 79097/6724452. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (^b.(^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. ------ 79098/6724506. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(a a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a a))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 79099/6724587. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^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. ------ 79100/6724695. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 79101/6724722. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 79102/6724767. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^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. ------ 79103/6724794. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y)) b)) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(b b)) REDUCED to normal form. ------ 79104/6724821. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a) c)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a) c)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a) c)) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 79105/6724902. ------ 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. ------ 79106/6724929. ------ 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)))) 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. ------ 79107/6724956. ------ 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))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.a))) REDUCED to normal form. ------ 79108/6725010. ------ 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. ------ 79109/6725037. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a) b)) 3. ==[ beta ]==> ((a b)(((^y.y) a) b)) 4. ==[ alpha ]==> ((a b)(((^x.x) a) b)) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 79110/6725046. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a)(^a.(^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. ------ 79111/6725073. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(^b.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. ------ 79112/6725208. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.(z z)))) 3. ==[ beta ]==> (b (a (^z.(z z)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 79113/6725316. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 79114/6725325. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (a a))) REDUCED to normal form. ------ 79115/6725352. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 79116/6725370. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)(^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. ------ 79117/6725379. ------ 1. ==[ start ]==> (((a a)(^b.b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 79118/6725406. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(a a))) REDUCED to normal form. ------ 79119/6725451. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a (^z.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a (^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 79120/6725487. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b b)) 5. ==[ beta ]==> ((^y.(a a))(b b)) 6. ==[ alpha ]==> ((^x.(a a))(b b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 79121/6725514. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a c)) REDUCED to normal form. ------ 79122/6725532. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^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. ------ 79123/6725541. ------ 1. ==[ start ]==> (((a b)(^c.a))(b (a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (a a))) REDUCED to normal form. ------ 79124/6725568. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a (a (^a.a)))) 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. ------ 79125/6725595. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(a a))) REDUCED to normal form. ------ 79126/6725640. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.y1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79127/6725649. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a b)) REDUCED to normal form. ------ 79128/6725676. ------ 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))) REDUCED to normal form. ------ 79129/6725711. ------ 1. ==[ start ]==> (^a.((a a)((^a.a) b))) 2. ==[ alpha ]==> (^x.((x x)((^y.y) b))) 3. ==[ beta ]==> (^x.((x x) b)) REDUCED to normal form. ------ 79130/6725712. ------ 1. ==[ start ]==> (a ((a a)((^a.a) b))) 2. ==[ alpha ]==> (a ((a a)((^x.x) b))) 3. ==[ beta ]==> (a ((a a) b)) REDUCED to normal form. ------ 79131/6732063. ------ 1. ==[ start ]==> (((a a)((^a.a) b)) a) 2. ==[ alpha ]==> (((a a)((^x.x) b)) a) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 79132/6732069. ------ 1. ==[ start ]==> ((^a.a)((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.x)((a a)((^y.y) b))) 3. ==[ beta ]==> ((a a)((^y.y) b)) 4. ==[ alpha ]==> ((a a)((^x.x) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 79133/6732159. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a)(^b.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. ------ 79134/6732321. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 79135/6732405. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 79136/6732738. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(^b.b))) 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. ------ 79137/6733014. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))(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. ------ 79138/6733656. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 79139/6733953. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 79140/6734223. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 79141/6734502. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(b y))) 3. ==[ eta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 79142/6734553. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(a a))(a (^x1.x1)))(((^z.z)(a a))(a (^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(a a))(a (^z.z)))(((^x1.x1)(a a))(a (^y1.y1))))) 5. ==[ beta ]==> ((((^y.y)(a a))(a (^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 6. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 7. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(a (^z.z)))) 9. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a (^z.z)))) 10. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 79143/6735228. ------ 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 ]==> (((b ((^z.z)(a a)))(b ((^z.z)(a a))))(^y.y)) 4. ==[ alpha ]==> (((b ((^x.x)(a a)))(b ((^y.y)(a a))))(^z.z)) 5. ==[ beta ]==> (((b (a a))(b ((^y.y)(a a))))(^z.z)) 6. ==[ alpha ]==> (((b (a a))(b ((^x.x)(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. ------ 79144/6735708. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 79145/6735933. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 79146/6735984. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((a a) a)(a (^y.y)))) 3. ==[ eta ]==> (b (((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 79147/6736329. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(a a))) a) 4. ==[ beta ]==> ((a (^y.(a a))) a) 5. ==[ alpha ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 79148/6736533. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.b) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 79149/6737328. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 79150/6737472. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.z))) REDUCED to normal form. ------ 79151/6737706. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 79152/6737913. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.d)) 3. ==[ beta ]==> (b (^z.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 79153/6738075. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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. ------ 79154/6738084. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 79155/6738156. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.c)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.c)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.c)) REDUCED to normal form. ------ 79156/6738219. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 79157/6738273. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.(^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)))) REDUCED to normal form. ------ 79158/6738354. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(a a))) REDUCED to normal form. ------ 79159/6738381. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.(^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. ------ 79160/6738417. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.y)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 79161/6738429. ------ 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. ------ 79162/6738465. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 79163/6738474. ------ 1. ==[ start ]==> (((a a) a)((^b.b)(a a))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 79164/6738492. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.(^a.a)))(^a.(^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. ------ 79165/6738501. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 79166/6738519. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 79167/6738573. ------ 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.(^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. ------ 79168/6738582. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 79169/6738600. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((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. ------ 79170/6738609. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 79171/6738627. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.b))) REDUCED to normal form. ------ 79172/6738654. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^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. ------ 79173/6738663. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 79174/6738681. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 79175/6738717. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.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. ------ 79176/6738762. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 79177/6738789. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) a)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 79178/6738798. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 79179/6738825. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.(^a.a)))(^a.(^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. ------ 79180/6738843. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b a) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a) c)) 3. ==[ beta ]==> (((^y.y) a)((b a) c)) 4. ==[ alpha ]==> (((^x.x) a)((b a) c)) 5. ==[ beta ]==> (a ((b a) c)) REDUCED to normal form. ------ 79181/6738906. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 79182/6739095. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(^b.b))) 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))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 79183/6739113. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.b) 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. ------ 79184/6739140. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 79185/6739266. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 79186/6739293. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a b))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a b))) 7. ==[ beta ]==> (((a (^x.x)) a)(a b)) REDUCED to normal form. ------ 79187/6739320. ------ 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. ------ 79188/6739347. ------ 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)))) 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. ------ 79189/6739374. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(b a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 79190/6739464. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b a)(^a.(^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. ------ 79191/6739518. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 9. ==[ beta ]==> ((a a)(^y.(y y))) 10. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 79192/6739527. ------ 1. ==[ start ]==> (((a a)(^b.(^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 a)) REDUCED to normal form. ------ 79193/6739545. ------ 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)((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. ------ 79194/6739554. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 79195/6739581. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)((a a) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)((a a) a))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 79196/6739599. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.b))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.b))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.b)) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.b)) REDUCED to normal form. ------ 79197/6739608. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 79198/6739635. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 9. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 10. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 11. ==[ beta ]==> ((a a)((^y.y)(a a))) 12. ==[ alpha ]==> ((a a)((^x.x)(a a))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 79199/6739932. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.(y y))(^z.(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. ------ 79200/6739959. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 79201/6740013. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 79202/6740157. ------ 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. ------ 79203/6740184. ------ 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)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)((a a) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((a a) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 79204/6740211. ------ 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. ------ 79205/6740238. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) 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. ------ 79206/6740265. ------ 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.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 79207/6740292. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a a)(b a))) REDUCED to normal form. ------ 79208/6740310. ------ 1. ==[ start ]==> (((^a.b) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 79209/6740328. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((b a)(^z.z))) 3. ==[ beta ]==> ((^y.b)((b a)(^z.z))) 4. ==[ alpha ]==> ((^x.b)((b a)(^y.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 79210/6740409. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.(z z)))) IRREDUCIBLE: cycle. ------ 79211/6740472. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^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. ------ 79212/6740490. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 79213/6740499. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))(a b))) 3. ==[ beta ]==> (((a b) a)((a b)(a b))) REDUCED to normal form. ------ 79214/6740517. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(a (^y.(a a)))) 6. ==[ alpha ]==> ((a b)(a (^x.(a a)))) REDUCED to normal form. ------ 79215/6740526. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.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. ------ 79216/6740580. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 79217/6740598. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((b a) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((b a) a)) REDUCED to normal form. ------ 79218/6740634. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(^a.a))(^a.(^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. ------ 79219/6740661. ------ 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. ------ 79220/6740688. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 79221/6740832. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b ((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(b ((a a)(^z.z)))) 6. ==[ alpha ]==> (((^x.x) a)(b ((a a)(^y.y)))) 7. ==[ beta ]==> (a (b ((a a)(^y.y)))) 8. ==[ alpha ]==> (a (b ((a a)(^x.x)))) REDUCED to normal form. ------ 79222/6740859. ------ 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. ------ 79223/6740886. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 79224/6740913. ------ 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))(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((^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. ------ 79225/6740922. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a)) c)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a)) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 79226/6741093. ------ 1. ==[ start ]==> (((a b) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 79227/6741138. ------ 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.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.z))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 79228/6741147. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 79229/6741165. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a))(^a.(^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. ------ 79230/6741174. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 79231/6741219. ------ 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) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(z z)))) 9. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(z z)))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 11. ==[ beta ]==> (((a a) a)(^y.(y y))) 12. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 79232/6741228. ------ 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. ------ 79233/6741255. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79234/6741282. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 79235/6741300. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^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. ------ 79236/6741309. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 79237/6741336. ------ 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.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. ------ 79238/6741525. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 79239/6741588. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(b (a a))) REDUCED to normal form. ------ 79240/6741624. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 79241/6741768. ------ 1. ==[ start ]==> (((a b) c)(d (^c.a))) 2. ==[ alpha ]==> (((a b) c)(d (^x.a))) REDUCED to normal form. ------ 79242/6741795. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (^y.b))) 3. ==[ beta ]==> (((a a) b)(c (^y.b))) 4. ==[ alpha ]==> (((a a) b)(c (^x.b))) REDUCED to normal form. ------ 79243/6741822. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.(a a)))) REDUCED to normal form. ------ 79244/6741867. ------ 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))(^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. ------ 79245/6741876. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 79246/6741903. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 79247/6741921. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 79248/6741957. ------ 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.(^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. ------ 79249/6741984. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.z))) 9. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 10. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 79250/6742002. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) 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. ------ 79251/6742011. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 79252/6742038. ------ 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.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. ------ 79253/6742065. ------ 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)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 79254/6742263. ------ 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. ------ 79255/6742290. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 79256/6742317. ------ 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. ------ 79257/6742344. ------ 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. ------ 79258/6742515. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a b)(^z.z))) 3. ==[ beta ]==> (b ((a b)(^z.z))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 79259/6742578. ------ 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) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 79260/6742623. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)(^b.(^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. ------ 79261/6742686. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(a b))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)(a b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a b))) 5. ==[ beta ]==> ((a (^x.(a a)))(a b)) REDUCED to normal form. ------ 79262/6742704. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a b) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a b) a)) 3. ==[ beta ]==> (((a b)(a b))((a b) a)) REDUCED to normal form. ------ 79263/6742713. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 79264/6742767. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^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. ------ 79265/6742794. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 79266/6742821. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)(^b.(^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. ------ 79267/6742893. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b) a)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 79268/6742911. ------ 1. ==[ start ]==> (((a a)(b a))(((a a) a)(a a))) REDUCED to normal form. ------ 79269/6742938. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 79270/6742965. ------ 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.z) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a 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. ------ 79271/6742992. ------ 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. ------ 79272/6743019. ------ 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. ------ 79273/6743046. ------ 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. ------ 79274/6743172. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^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. ------ 79275/6743190. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 79276/6743271. ------ 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 a))(^y.(a a)))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.(a 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)((^y.y) b)) 8. ==[ alpha ]==> ((a a)((^x.x) b)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 79277/6743568. ------ 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.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((a a)((^x.x)(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))((^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. ------ 79278/6743577. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(^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. ------ 79279/6743604. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 79280/6743649. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 79281/6743658. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^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. ------ 79282/6743685. ------ 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)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 79283/6743712. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(^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. ------ 79284/6743766. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 79285/6743802. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (a (a a)))) REDUCED to normal form. ------ 79286/6743829. ------ 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 (^x.x))(b a))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.y))) REDUCED to normal form. ------ 79287/6743856. ------ 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))) REDUCED to normal form. ------ 79288/6743883. ------ 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. ------ 79289/6743910. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 79290/6743937. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a)(a (a a)))) REDUCED to normal form. ------ 79291/6744063. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 79292/6744108. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 79293/6744270. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a) d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z) d)) 3. ==[ beta ]==> (b ((^z.z) d)) 4. ==[ alpha ]==> (b ((^x.x) d)) 5. ==[ beta ]==> (b d) REDUCED to normal form. ------ 79294/6744378. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 79295/6744387. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 79296/6744414. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^a.a))(^a.(^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. ------ 79297/6744432. ------ 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. ------ 79298/6744441. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 79299/6744459. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.a) a)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 79300/6744549. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(^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. ------ 79301/6744576. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 79302/6744594. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (^y.y)) a)) 3. ==[ beta ]==> (b ((a (^y.y)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 79303/6744603. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^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. ------ 79304/6744630. ------ 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)(^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. ------ 79305/6744657. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (^z.z))) REDUCED to normal form. ------ 79306/6744702. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79307/6744711. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^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. ------ 79308/6744738. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 79309/6744774. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a a)) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 79310/6744782. ------ 1. ==[ start ]==> (^a.(b (^b.b))) 2. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 79311/6744783. ------ 1. ==[ start ]==> (a (b (^b.b))) 2. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 79312/6746676. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.(^y1.y1)))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1)))) b) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 79313/6749250. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(y1 b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 79314/6751134. ------ 1. ==[ start ]==> (((a a)((^a.a) b)) b) 2. ==[ alpha ]==> (((a a)((^x.x) b)) b) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 79315/6751149. ------ 1. ==[ start ]==> ((^a.a)(b (^b.b))) 2. ==[ alpha ]==> ((^x.x)(b (^y.y))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 79316/6751158. ------ 1. ==[ start ]==> ((^a.(^a.a))((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. ------ 79317/6751203. ------ 1. ==[ start ]==> ((^a.b)((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 79318/6751473. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^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. ------ 79319/6751836. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^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 ]==> (^x.b) REDUCED to normal form. ------ 79320/6751968. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 79321/6752448. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 79322/6752859. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 79323/6753039. ------ 1. ==[ start ]==> ((^a.(a b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1)))) b) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 79324/6753042. ------ 1. ==[ start ]==> ((a (a b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 79325/6753303. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 79326/6754095. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(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)))) REDUCED to normal form. ------ 79327/6754308. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^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. ------ 79328/6754347. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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))) REDUCED to normal form. ------ 79329/6755013. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^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. ------ 79330/6755409. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.b))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.b))) REDUCED to normal form. ------ 79331/6755613. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (a b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 79332/6755616. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 b))) REDUCED to normal form. ------ 79333/6755796. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.b))) REDUCED to normal form. ------ 79334/6755901. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((^x1.a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)(a (a a)))(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 79335/6756504. ------ 1. ==[ start ]==> ((^a.(^b.b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79336/6756552. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 79337/6756687. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(^b.(^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. ------ 79338/6756786. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 79339/6756795. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(a (a a)))) REDUCED to normal form. ------ 79340/6756819. ------ 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. ------ 79341/6756993. ------ 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 (^x.a)) REDUCED to normal form. ------ 79342/6757164. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.c)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 79343/6757182. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^z1.z1)) 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. ------ 79344/6757299. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 79345/6757317. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 79346/6757353. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 79347/6757461. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.a)) 3. ==[ beta ]==> ((b (^y.y))(^z.a)) 4. ==[ alpha ]==> ((b (^x.x))(^y.a)) REDUCED to normal form. ------ 79348/6757497. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.z))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 79349/6757518. ------ 1. ==[ start ]==> ((a a)(b (^b.b))) 2. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 79350/6757527. ------ 1. ==[ start ]==> ((a (^a.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) b))) 3. ==[ beta ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 79351/6757563. ------ 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. ------ 79352/6757572. ------ 1. ==[ start ]==> ((a b)((^b.b)(a a))) 2. ==[ alpha ]==> ((a b)((^x.x)(a a))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 79353/6757590. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 79354/6757617. ------ 1. ==[ start ]==> (((^a.a) b)((b a)(^b.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. ------ 79355/6757644. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((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. ------ 79356/6757671. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(a a))(^b.(^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. ------ 79357/6757698. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.a))) REDUCED to normal form. ------ 79358/6757725. ------ 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. ------ 79359/6757752. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 79360/6757788. ------ 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. ------ 79361/6757815. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 79362/6757842. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^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. ------ 79363/6757887. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) b) a)) 3. ==[ beta ]==> (((a (^x.x)) b)(b a)) REDUCED to normal form. ------ 79364/6757914. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 79365/6757941. ------ 1. ==[ start ]==> (((a a)(^b.a))((b a) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((b a) c)) REDUCED to normal form. ------ 79366/6758031. ------ 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) a)((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.a))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 79367/6758085. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 79368/6758148. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 79369/6758202. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(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)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 79370/6758211. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.b) a)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x) a)) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 79371/6758229. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.(^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))) REDUCED to normal form. ------ 79372/6758238. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 79373/6758256. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 79374/6758310. ------ 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 (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. ------ 79375/6758337. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 79376/6758472. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79377/6758499. ------ 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 (^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. ------ 79378/6758562. ------ 1. ==[ start ]==> (((a (a a)) b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 79379/6758589. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (a (((a a)(^y.y))(^z.a))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 79380/6758616. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 79381/6758643. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 79382/6758670. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((a (^y.a))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 79383/6758697. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 79384/6758724. ------ 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. ------ 79385/6758760. ------ 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)(^y.y))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 79386/6758787. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^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. ------ 79387/6758814. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 79388/6758841. ------ 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. ------ 79389/6759093. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(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. ------ 79390/6759129. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 79391/6759147. ------ 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 ]==> ((((^y.y) a)((^y.y) a))((b a)(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^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))) 7. ==[ beta ]==> ((a a)((b a)(a a))) REDUCED to normal form. ------ 79392/6759228. ------ 1. ==[ start ]==> ((a (^a.b))((a b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a b)(a (a a)))) REDUCED to normal form. ------ 79393/6759408. ------ 1. ==[ start ]==> ((a (a b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 79394/6759561. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^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. ------ 79395/6759588. ------ 1. ==[ start ]==> (((a b) a)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a b) a)((a (a a))(^x.b))) REDUCED to normal form. ------ 79396/6759615. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(a a)))) REDUCED to normal form. ------ 79397/6759696. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((b a) a)) REDUCED to normal form. ------ 79398/6759723. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z)) b)) 5. ==[ beta ]==> ((^y.a)(((a a)(^z.z)) b)) 6. ==[ alpha ]==> ((^x.a)(((a a)(^y.y)) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 79399/6759813. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 79400/6759840. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.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. ------ 79401/6759867. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.b))) 7. ==[ beta ]==> ((a (^x.x))((^z.b)(^z.b))) 8. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.b))) 9. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 79402/6759894. ------ 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. ------ 79403/6760011. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 79404/6760038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1) 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. ------ 79405/6760092. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 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. ------ 79406/6760173. ------ 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.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. ------ 79407/6760236. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 79408/6760263. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(a a))(^a.(^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. ------ 79409/6760317. ------ 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.(z z)))) REDUCED to normal form. ------ 79410/6760344. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 9. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 10. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 11. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 12. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79411/6760371. ------ 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. ------ 79412/6760398. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 79413/6760425. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 79414/6760461. ------ 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)(^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. ------ 79415/6760488. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(^a.a))(^a.a))) 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. ------ 79416/6760515. ------ 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 a)) REDUCED to normal form. ------ 79417/6760542. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b)(^b.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. ------ 79418/6760596. ------ 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.(^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. ------ 79419/6760623. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 79420/6760650. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.b))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 79421/6760677. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^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. ------ 79422/6760713. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 79423/6760848. ------ 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 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. ------ 79424/6760929. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 79425/6760965. ------ 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))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.z))) REDUCED to normal form. ------ 79426/6760992. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b)(^a.(^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. ------ 79427/6761046. ------ 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)(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79428/6761073. ------ 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.(^z.z)))) REDUCED to normal form. ------ 79429/6761100. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 79430/6761127. ------ 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.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. ------ 79431/6761154. ------ 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)))) REDUCED to normal form. ------ 79432/6761190. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 79433/6761217. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 79434/6761244. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 79435/6761271. ------ 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 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. ------ 79436/6761298. ------ 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)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 11. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79437/6761325. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a)(^c.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. ------ 79438/6761352. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^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. ------ 79439/6761379. ------ 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 (^x.x)))(^z.(a a))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 79440/6761523. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b (((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b (((^x.x) 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. ------ 79441/6761667. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.a)) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.a)) REDUCED to normal form. ------ 79442/6761775. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)(^z.b))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.b))) REDUCED to normal form. ------ 79443/6761802. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a b) a)) REDUCED to normal form. ------ 79444/6761856. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1) c)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z) c)) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) c) REDUCED to normal form. ------ 79445/6761982. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (a b))) REDUCED to normal form. ------ 79446/6762135. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^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))) REDUCED to normal form. ------ 79447/6762162. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.b))) REDUCED to normal form. ------ 79448/6762216. ------ 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 (^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. ------ 79449/6762261. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79450/6762270. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 79451/6762441. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 79452/6762549. ------ 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. ------ 79453/6762576. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^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. ------ 79454/6762603. ------ 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 (^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. ------ 79455/6762666. ------ 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.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 79456/6762693. ------ 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.(^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. ------ 79457/6762738. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c d)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 79458/6762747. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 79459/6762774. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 79460/6762801. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 79461/6762873. ------ 1. ==[ start ]==> ((a (^b.b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(c ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.x))(c a)) REDUCED to normal form. ------ 79462/6762891. ------ 1. ==[ start ]==> (((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 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. ------ 79463/6762918. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.z))) REDUCED to normal form. ------ 79464/6762999. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c (^z.a))) 3. ==[ beta ]==> (((^y.y)(a b))(c (^z.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(c (^y.a))) 5. ==[ beta ]==> ((a b)(c (^y.a))) 6. ==[ alpha ]==> ((a b)(c (^x.a))) REDUCED to normal form. ------ 79465/6763026. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.(x x)))) REDUCED to normal form. ------ 79466/6763053. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 79467/6763080. ------ 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))(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(a a))) 5. ==[ beta ]==> (((a a)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 79468/6763107. ------ 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)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 79469/6763152. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 79470/6763161. ------ 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)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a (a a))) REDUCED to normal form. ------ 79471/6763188. ------ 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))) 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. ------ 79472/6763359. ------ 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))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 79473/6763476. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 79474/6763503. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (^y.y)) b)) 3. ==[ beta ]==> ((b a)((a (^y.y)) b)) 4. ==[ alpha ]==> ((b a)((a (^x.x)) b)) REDUCED to normal form. ------ 79475/6763521. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.y) b)(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)(b (a (^y.y)))) 5. ==[ beta ]==> (b (b (a (^y.y)))) 6. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 79476/6763530. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((a a) c)) REDUCED to normal form. ------ 79477/6763548. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(a ((^y1.y1) 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. ------ 79478/6763557. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 79479/6763602. ------ 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. ------ 79480/6763638. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 79481/6763665. ------ 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. ------ 79482/6763683. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 79483/6763692. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 79484/6763719. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 79485/6763746. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1)) 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. ------ 79486/6763791. ------ 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))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79487/6763800. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^y1.y1))) REDUCED to normal form. ------ 79488/6763827. ------ 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)) REDUCED to normal form. ------ 79489/6763863. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a (^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a (^y.y))) 3. ==[ beta ]==> (((a a) b)(a (^y.y))) 4. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 79490/6768348. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 79491/6770232. ------ 1. ==[ start ]==> (((a a)((^a.a) b)) c) 2. ==[ alpha ]==> (((a a)((^x.x) b)) c) 3. ==[ beta ]==> (((a a) b) c) REDUCED to normal form. ------ 79492/6770265. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79493/6770310. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) b)(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 79494/6770346. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 79495/6770391. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^z.z))(^x1.(x1 x1)))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 79496/6770508. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 79497/6770580. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ eta ]==> ((^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. ------ 79498/6770619. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^z1.z1)) 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. ------ 79499/6770751. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 79500/6770943. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(^b.b))) 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. ------ 79501/6770952. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((^y.y) b))) 3. ==[ beta ]==> (((a (a a)) a)(^x.b)) REDUCED to normal form. ------ 79502/6771870. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 79503/6772140. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(b a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(b a))) 3. ==[ beta ]==> (b (^y.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 79504/6772158. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 79505/6772428. ------ 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))) REDUCED to normal form. ------ 79506/6772533. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(((^z.b)(^x1.(x1 x1)))((^z.b)(^x1.(x1 x1))))) 4. ==[ alpha ]==> (^x.(((^y.b)(^z.(z z)))((^x1.b)(^y1.(y1 y1))))) 5. ==[ beta ]==> (^x.(b ((^x1.b)(^y1.(y1 y1))))) 6. ==[ alpha ]==> (^x.(b ((^y.b)(^z.(z z))))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 79507/6772707. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(b a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(b y))) 3. ==[ eta ]==> (((^x.b) b) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 79508/6773454. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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. ------ 79509/6774171. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(b x))((^y.b) b)) 3. ==[ eta ]==> (b ((^y.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 79510/6774345. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (b (^z.(^x1.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 79511/6774534. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(a y))) 3. ==[ eta ]==> (((^x.(x x))(a b)) a) 4. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 79512/6774720. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 79513/6774723. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.x1))) REDUCED to normal form. ------ 79514/6775008. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^x1.x1) a)(^y1.(y1 y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 79515/6775611. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79516/6775926. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (a a)) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 79517/6776100. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(^b.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. ------ 79518/6776208. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 79519/6776289. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 79520/6776298. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 79521/6776424. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(a (^z.z)))) 3. ==[ beta ]==> (b (^y.(a (^z.z)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 79522/6776433. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.c)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.c)) REDUCED to normal form. ------ 79523/6776487. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 79524/6776532. ------ 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))(^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. ------ 79525/6776568. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.b)) 3. ==[ beta ]==> ((b (^y.y))(^z.b)) 4. ==[ alpha ]==> ((b (^x.x))(^y.b)) REDUCED to normal form. ------ 79526/6776604. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.a)) 3. ==[ beta ]==> (((a a) b)(^y.a)) 4. ==[ alpha ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 79527/6776643. ------ 1. ==[ start ]==> ((a (^a.a))(b (^b.b))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 79528/6776652. ------ 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. ------ 79529/6776688. ------ 1. ==[ start ]==> ((a b)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((a b)(((^x.x) b)(^y.y))) 3. ==[ beta ]==> ((a b)(b (^y.y))) 4. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 79530/6776697. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 3. ==[ beta ]==> ((a a)((^y.y)(a a))) 4. ==[ alpha ]==> ((a a)((^x.x)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 79531/6776724. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 79532/6776742. ------ 1. ==[ start ]==> (((a a)(a a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))((b a)(^x.a))) REDUCED to normal form. ------ 79533/6776769. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 79534/6776805. ------ 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)(^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. ------ 79535/6776832. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((a a) a))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 79536/6776886. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 79537/6776958. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^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))))) REDUCED to normal form. ------ 79538/6776967. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^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. ------ 79539/6776994. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1) 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. ------ 79540/6777048. ------ 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.(^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. ------ 79541/6777129. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 79542/6777300. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (a (^a.(^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. ------ 79543/6777318. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(^b.b))) 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. ------ 79544/6777327. ------ 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. ------ 79545/6777354. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 79546/6777381. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a)(a (^z.z)))) REDUCED to normal form. ------ 79547/6777408. ------ 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.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 79548/6777435. ------ 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. ------ 79549/6777543. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((b b)((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((b b)((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((b b)((a (a a))(a a))) REDUCED to normal form. ------ 79550/6777588. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79551/6777615. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 79552/6777669. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 79553/6777750. ------ 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. ------ 79554/6777930. ------ 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. ------ 79555/6777957. ------ 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. ------ 79556/6777984. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((b a) b)) 3. ==[ beta ]==> (((^y.y)(a a))((b a) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((b a) b)) 5. ==[ beta ]==> ((a a)((b a) b)) REDUCED to normal form. ------ 79557/6778047. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.(z1 z1)))) 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. ------ 79558/6778101. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.a))) 5. ==[ beta ]==> (a ((^z.a)(^x1.a))) 6. ==[ alpha ]==> (a ((^x.a)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 79559/6778182. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 79560/6778218. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (b a))) REDUCED to normal form. ------ 79561/6778245. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 79562/6778272. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((b a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((b a)(a a))) REDUCED to normal form. ------ 79563/6778299. ------ 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)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79564/6778326. ------ 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.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a) a)) REDUCED to normal form. ------ 79565/6778515. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(b a))) 2. ==[ alpha ]==> (((^x.b) a)((a a)(b a))) 3. ==[ beta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 79566/6778533. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.b)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.b)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 79567/6778614. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))((^x1.x1) a))) IRREDUCIBLE: cycle. ------ 79568/6778695. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 79569/6778722. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a b)((^y.(y y))(a b))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(a b))) 5. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 79570/6778749. ------ 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.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. ------ 79571/6778803. ------ 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. ------ 79572/6778884. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a))(^b.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. ------ 79573/6778911. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 79574/6779082. ------ 1. ==[ start ]==> (((^a.b) b)(a (b a))) 2. ==[ alpha ]==> (((^x.b) b)(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 79575/6779289. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 79576/6779298. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) b)((a (^x.x))(a a))) REDUCED to normal form. ------ 79577/6779325. ------ 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. ------ 79578/6779370. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79579/6779424. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)((^y1.y1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((^y1.y1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1) a))) 9. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1) a))) 10. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 11. ==[ beta ]==> ((^y.b)((^z.z) a)) 12. ==[ alpha ]==> ((^x.b)((^y.y) a)) 13. ==[ beta ]==> b REDUCED to normal form. ------ 79580/6779505. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 79581/6779604. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 79582/6779631. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((a ((a a) a))((a a) b)) REDUCED to normal form. ------ 79583/6779658. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 79584/6779829. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 79585/6779973. ------ 1. ==[ start ]==> (((a b) c)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (a a))((^x.x)(^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. ------ 79586/6780000. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 79587/6780027. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(a b))) REDUCED to normal form. ------ 79588/6780045. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 79589/6780126. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 79590/6780207. ------ 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)(^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. ------ 79591/6780306. ------ 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. ------ 79592/6780333. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a b) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b) b)) REDUCED to normal form. ------ 79593/6780360. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a) a) c)) 3. ==[ beta ]==> ((a (a b))(((a a) a) c)) REDUCED to normal form. ------ 79594/6780522. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 79595/6780549. ------ 1. ==[ start ]==> ((a (b a))((^a.b) b)) 2. ==[ alpha ]==> ((a (b a))((^x.b) b)) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 79596/6780720. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (^z.(a a)))) 3. ==[ beta ]==> (b (a (^z.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 79597/6780828. ------ 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. ------ 79598/6780855. ------ 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)((^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. ------ 79599/6780909. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(a b))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(a b))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(a b))) 5. ==[ beta ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 79600/6780990. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^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. ------ 79601/6781098. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.b)) REDUCED to normal form. ------ 79602/6781116. ------ 1. ==[ start ]==> (((a a)(b a))((^a.b) a)) 2. ==[ alpha ]==> (((a a)(b a))((^x.b) a)) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 79603/6781170. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z)) c)) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) c)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 79604/6781305. ------ 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)(^z.z))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 79605/6781332. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^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 (^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 79606/6781386. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(z z)))) REDUCED to normal form. ------ 79607/6781395. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 79608/6781476. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((a a)((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 79609/6781557. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 79610/6781674. ------ 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. ------ 79611/6781701. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a ((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a ((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 79612/6781719. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(c (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(y y)))) 5. ==[ beta ]==> (c (^y.(y y))) 6. ==[ alpha ]==> (c (^x.(x x))) REDUCED to normal form. ------ 79613/6781854. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 79614/6781863. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c d)) REDUCED to normal form. ------ 79615/6781962. ------ 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))(^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. ------ 79616/6781989. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 79617/6782061. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^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. ------ 79618/6782088. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y)) b)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x)) b)) 5. ==[ beta ]==> (((a (a a))(a a))(b b)) REDUCED to normal form. ------ 79619/6782115. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a) c)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a) c)) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 79620/6782196. ------ 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. ------ 79621/6782223. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) 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. ------ 79622/6782277. ------ 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. ------ 79623/6782304. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (a a)) a)) 3. ==[ beta ]==> ((a b)((a (a a)) a)) REDUCED to normal form. ------ 79624/6782313. ------ 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)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79625/6782340. ------ 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)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.a)(^x2.(^y2.y2)))) 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. ------ 79626/6782475. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 79627/6782583. ------ 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)((^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. ------ 79628/6782619. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c (a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c (a a))) 3. ==[ beta ]==> ((b a)(c (a a))) REDUCED to normal form. ------ 79629/6782637. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a))(^a.(^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. ------ 79630/6782646. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 79631/6782664. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 79632/6782673. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a ((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 79633/6782718. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b (^a.(^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. ------ 79634/6782754. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c a)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c a)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c a)) 5. ==[ beta ]==> ((^y.(a a))(c a)) 6. ==[ alpha ]==> ((^x.(a a))(c a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 79635/6782781. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b b)) REDUCED to normal form. ------ 79636/6782799. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a 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. ------ 79637/6782808. ------ 1. ==[ start ]==> (((a b)(^c.a))(a c)) 2. ==[ alpha ]==> (((a b)(^x.a))(a c)) REDUCED to normal form. ------ 79638/6782835. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 79639/6782862. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (a (^z.z)))) REDUCED to normal form. ------ 79640/6782907. ------ 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))(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. ------ 79641/6782916. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b a)) REDUCED to normal form. ------ 79642/6782943. ------ 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)) REDUCED to normal form. ------ 79643/6782979. ------ 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. ------ 79644/6783005. ------ 1. ==[ start ]==> (^a.((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((x (^y.y))(x (^z.(^x1.x1))))) REDUCED to normal form. ------ 79645/6783006. ------ 1. ==[ start ]==> (a ((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (a ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 79646/6784899. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(b a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(b a))) 3. ==[ beta ]==> ((^y.(b a)) b) 4. ==[ alpha ]==> ((^x.(b a)) b) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 79647/6789384. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a)))) a) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 79648/6789390. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(a (^a.(^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. ------ 79649/6789417. ------ 1. ==[ start ]==> ((^a.(a a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x x))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a a)((^y.y) b))((a a)((^y.y) b))) 4. ==[ alpha ]==> (((a a)((^x.x) b))((a a)((^y.y) b))) 5. ==[ beta ]==> (((a a) b)((a a)((^y.y) b))) 6. ==[ alpha ]==> (((a a) b)((a a)((^x.x) b))) 7. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 79650/6789480. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.(^a.a)))(^a.(^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. ------ 79651/6789642. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (^x.((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.(a a)))) 7. ==[ beta ]==> (^x.(^z.(a a))) 8. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 79652/6789762. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 79653/6790086. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(^b.b))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 79654/6790335. ------ 1. ==[ start ]==> ((^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)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79655/6791004. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 79656/6791280. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(b a))) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 79657/6791283. ------ 1. ==[ start ]==> ((a (a b))(^c.(b a))) 2. ==[ alpha ]==> ((a (a b))(^x.(b a))) REDUCED to normal form. ------ 79658/6791571. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(y a))) REDUCED to normal form. ------ 79659/6791850. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(b a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(b x))) 3. ==[ eta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 79660/6791874. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)((((a a)(^z.z))(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))) REDUCED to normal form. ------ 79661/6792840. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 79662/6793281. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^y.(y y))) REDUCED to normal form. ------ 79663/6793305. ------ 1. ==[ start ]==> ((^a.(b a))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(b x))((a b)(a a))) 3. ==[ eta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 79664/6793668. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.b))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.b))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.b))) REDUCED to normal form. ------ 79665/6793677. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(a y))) 3. ==[ eta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 79666/6793875. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(x b))) REDUCED to normal form. ------ 79667/6794037. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.((a a) a))) REDUCED to normal form. ------ 79668/6794541. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 79669/6794676. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.((^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))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 79670/6794745. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79671/6794820. ------ 1. ==[ start ]==> ((((^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)))) 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)))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 79672/6794928. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 79673/6795351. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^z.a)) REDUCED to normal form. ------ 79674/6795432. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.a))) REDUCED to normal form. ------ 79675/6795513. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 79676/6795558. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(^a.(^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. ------ 79677/6795567. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 79678/6795621. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 79679/6795666. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.y1)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79680/6795675. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 79681/6795702. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.(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))) REDUCED to normal form. ------ 79682/6795738. ------ 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. ------ 79683/6795765. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 79684/6795777. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 79685/6795795. ------ 1. ==[ start ]==> (((^a.a) a)(b (^b.b))) 2. ==[ alpha ]==> (((^x.x) a)(b (^y.y))) 3. ==[ beta ]==> (a (b (^y.y))) 4. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 79686/6795804. ------ 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. ------ 79687/6795840. ------ 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))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 79688/6795849. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 79689/6795867. ------ 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)))) REDUCED to normal form. ------ 79690/6795876. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 79691/6795921. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79692/6795930. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 79693/6795948. ------ 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.(^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. ------ 79694/6795957. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 79695/6795975. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 79696/6795984. ------ 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. ------ 79697/6796002. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 79698/6796029. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.a))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(a a))) REDUCED to normal form. ------ 79699/6796065. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 79700/6796110. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 79701/6796137. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 79702/6796146. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z) b)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) b)) 5. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 79703/6796173. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.b)(^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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 79704/6796191. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1))) b)) 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. ------ 79705/6796200. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.(^a.a)))(^a.(^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. ------ 79706/6796218. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((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. ------ 79707/6796362. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 79708/6796443. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^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. ------ 79709/6796470. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 79710/6796488. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y) 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. ------ 79711/6796515. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 79712/6796614. ------ 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. ------ 79713/6796641. ------ 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 a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 79714/6796668. ------ 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. ------ 79715/6796695. ------ 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. ------ 79716/6796722. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 79717/6796812. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.x2))) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.x2))) 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)) REDUCED to normal form. ------ 79718/6796821. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 79719/6796866. ------ 1. ==[ start ]==> (((^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.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 79720/6796875. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 79721/6796893. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(x1 x1)))) 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. ------ 79722/6796902. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 79723/6796929. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 79724/6796983. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 7. ==[ beta ]==> ((^y.(^z.z))(a b)) 8. ==[ alpha ]==> ((^x.(^y.y))(a b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79725/6797280. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 79726/6797307. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 79727/6797388. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 79728/6797406. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1))) a)) 7. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) a)) 8. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) a)) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 79729/6797505. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b)(a (a a)))) REDUCED to normal form. ------ 79730/6797532. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a) a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.z))) REDUCED to normal form. ------ 79731/6797559. ------ 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 a) a))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^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))) 7. ==[ beta ]==> ((a (a (a a)))((a a) a)) REDUCED to normal form. ------ 79732/6797586. ------ 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. ------ 79733/6797613. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(a a)))) 9. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 79734/6797640. ------ 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)))) REDUCED to normal form. ------ 79735/6797667. ------ 1. ==[ start ]==> ((a (a b))((a a)(b a))) REDUCED to normal form. ------ 79736/6797757. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(^x1.a))) IRREDUCIBLE: cycle. ------ 79737/6797820. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 79738/6797838. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^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. ------ 79739/6797847. ------ 1. ==[ start ]==> (((a b) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 79740/6797865. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (a a))(^y.b))) 3. ==[ beta ]==> ((a b)((a (a a))(^y.b))) 4. ==[ alpha ]==> ((a b)((a (a a))(^x.b))) REDUCED to normal form. ------ 79741/6797874. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a)(^x.b))((a b)(a b))) REDUCED to normal form. ------ 79742/6797892. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 79743/6797928. ------ 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.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. ------ 79744/6797955. ------ 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. ------ 79745/6798027. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(a a))(((^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. ------ 79746/6798036. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 79747/6798207. ------ 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. ------ 79748/6798234. ------ 1. ==[ start ]==> (((a b)(a a))(a (b a))) REDUCED to normal form. ------ 79749/6798261. ------ 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 (a a))(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 79750/6798270. ------ 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. ------ 79751/6798297. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 79752/6798441. ------ 1. ==[ start ]==> (((a b) b)(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)(c (^x.(a a)))) REDUCED to normal form. ------ 79753/6798468. ------ 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. ------ 79754/6798513. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((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. ------ 79755/6798522. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 79756/6798567. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b)(^b.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. ------ 79757/6798576. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 79758/6798630. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 79759/6798648. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 79760/6798657. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 79761/6798684. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a b))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 79762/6798873. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 79763/6799224. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 79764/6799251. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(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 a)) REDUCED to normal form. ------ 79765/6799269. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b)(^a.(^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. ------ 79766/6799305. ------ 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.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79767/6799332. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(a (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. ------ 79768/6799350. ------ 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 a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 79769/6799359. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 79770/6799386. ------ 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. ------ 79771/6799413. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^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. ------ 79772/6799611. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c ((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c ((a a) a))) 3. ==[ beta ]==> (((a b) a)(c ((a a) a))) REDUCED to normal form. ------ 79773/6799638. ------ 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. ------ 79774/6799665. ------ 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. ------ 79775/6799692. ------ 1. ==[ start ]==> ((a (b a))((a b)(a a))) REDUCED to normal form. ------ 79776/6799926. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 79777/6799971. ------ 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. ------ 79778/6799998. ------ 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) 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. ------ 79779/6800034. ------ 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))((a a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 79780/6800052. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(^y.b))) 3. ==[ beta ]==> (((a b)(a b))((a a)(^y.b))) 4. ==[ alpha ]==> (((a b)(a b))((a a)(^x.b))) REDUCED to normal form. ------ 79781/6800061. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a b)) REDUCED to normal form. ------ 79782/6800115. ------ 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)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 79783/6800133. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^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. ------ 79784/6800142. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^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. ------ 79785/6800169. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 79786/6800196. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 79787/6800259. ------ 1. ==[ start ]==> (((a a)(b a))(a (a b))) REDUCED to normal form. ------ 79788/6800286. ------ 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) a)(a a))) REDUCED to normal form. ------ 79789/6800313. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 9. ==[ beta ]==> ((a (a a))(a (^y.y))) 10. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 79790/6800340. ------ 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. ------ 79791/6800367. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(a (a a)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a (a a)))) 7. ==[ beta ]==> (((a a) a)(a (a (a a)))) REDUCED to normal form. ------ 79792/6800394. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 79793/6800421. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)((a a) a))) REDUCED to normal form. ------ 79794/6800520. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79795/6800538. ------ 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.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 79796/6800619. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a) a) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a) a) a)) 5. ==[ beta ]==> ((a a)(((a a) a) a)) REDUCED to normal form. ------ 79797/6800808. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 79798/6800925. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 79799/6800952. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(^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. ------ 79800/6800997. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.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. ------ 79801/6801006. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 79802/6801033. ------ 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.(^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. ------ 79803/6801060. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 79804/6801105. ------ 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)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79805/6801114. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 79806/6801132. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) c)) 3. ==[ beta ]==> ((a (^x.x))(a c)) REDUCED to normal form. ------ 79807/6801177. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b (a (a a)))) REDUCED to normal form. ------ 79808/6801204. ------ 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.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 79809/6801231. ------ 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. ------ 79810/6801258. ------ 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. ------ 79811/6801285. ------ 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) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^x.x)) a)) REDUCED to normal form. ------ 79812/6801312. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^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)))) REDUCED to normal form. ------ 79813/6801411. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 79814/6801456. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 79815/6801483. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1) a) b)) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) 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. ------ 79816/6801618. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 79817/6801726. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 79818/6801735. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)((^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. ------ 79819/6801762. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(^z.z))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.y))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 79820/6801780. ------ 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)) REDUCED to normal form. ------ 79821/6801789. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))(^a.(^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. ------ 79822/6801816. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.a)) REDUCED to normal form. ------ 79823/6801861. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1)) 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. ------ 79824/6801897. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.a))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.a))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 79825/6801924. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^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. ------ 79826/6801942. ------ 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. ------ 79827/6801951. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 79828/6801978. ------ 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))(^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. ------ 79829/6802005. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 79830/6802050. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^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. ------ 79831/6802059. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 79832/6802086. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^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 (^x.x))(a a)) REDUCED to normal form. ------ 79833/6802122. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a (a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a (a a))) 3. ==[ beta ]==> (((a a) b)(a (a a))) REDUCED to normal form. ------ 79834/6802149. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 79835/6802215. ------ 1. ==[ start ]==> ((^a.b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(y y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 79836/6807831. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 79837/6808536. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a)))) b) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z)))) b) REDUCED to normal form. ------ 79838/6808560. ------ 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) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79839/6808578. ------ 1. ==[ start ]==> ((^a.(a a))(b (^b.b))) 2. ==[ alpha ]==> ((^x.(x x))(b (^y.y))) 3. ==[ beta ]==> ((b (^y.y))(b (^y.y))) 4. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 79840/6808605. ------ 1. ==[ start ]==> ((^a.b)(a (^c.(a a)))) 2. ==[ alpha ]==> ((^x.b)(a (^y.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 79841/6808608. ------ 1. ==[ start ]==> ((a b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 79842/6808875. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(b a))) 3. ==[ eta ]==> ((^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. ------ 79843/6808923. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 79844/6809145. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a)))(((^y.(^z.z))(^x1.(a a)))((^y.(^z.z))(^x1.(a a))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.(^y1.y1))(^z1.(a a)))((^x2.(^y2.y2))(^z2.(a a))))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.(a a)))((^x2.(^y2.y2))(^z2.(a a))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(a a)))((^y1.(^z1.z1))(^x2.(a a))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a)))((^y1.(^z1.z1))(^x2.(a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79845/6809265. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z) b))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y) b))) 5. ==[ beta ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 79846/6809370. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 79847/6809877. ------ 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. ------ 79848/6810183. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(z (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 79849/6810261. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 79850/6810453. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(b a))) 3. ==[ beta ]==> ((^y.b)(^z.(b a))) 4. ==[ alpha ]==> ((^x.b)(^y.(b a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 79851/6811524. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 79852/6811710. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((((^z.a)(^x1.b))((^z.a)(^x1.b)))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(^y.b))((^z.a)(^x1.b)))(^y1.y1)) 5. ==[ beta ]==> ((a ((^z.a)(^x1.b)))(^y1.y1)) 6. ==[ alpha ]==> ((a ((^x.a)(^y.b)))(^z.z)) 7. ==[ beta ]==> ((a a)(^z.z)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 79853/6812226. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^y.(a a))) REDUCED to normal form. ------ 79854/6812442. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 79855/6812640. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(a b))) 3. ==[ beta ]==> (b (^z.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 79856/6812838. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.b))) REDUCED to normal form. ------ 79857/6813015. ------ 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. ------ 79858/6813036. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.x))) REDUCED to normal form. ------ 79859/6813225. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.b))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.b))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.b))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.b))) REDUCED to normal form. ------ 79860/6813303. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^x1.(x1 x1))((^y1.y1) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.x1))) 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))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 79861/6813837. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 79862/6813981. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^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)))) REDUCED to normal form. ------ 79863/6814116. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.(^b.(^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. ------ 79864/6814221. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 79865/6814224. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(a (a a)))) 3. ==[ beta ]==> ((a b)(^y.(a (a a)))) 4. ==[ alpha ]==> ((a b)(^x.(a (a a)))) REDUCED to normal form. ------ 79866/6814512. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.a))) REDUCED to normal form. ------ 79867/6814674. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.c)) 5. ==[ beta ]==> ((^y.(a a))(^z.c)) 6. ==[ alpha ]==> ((^x.(a a))(^y.c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 79868/6814728. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 79869/6814836. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 79870/6814863. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.(^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. ------ 79871/6814899. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.z))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 79872/6814926. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 79873/6814956. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 79874/6814974. ------ 1. ==[ start ]==> ((a (a a))(b (^b.b))) 2. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 79875/6814983. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((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)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 79876/6815001. ------ 1. ==[ start ]==> ((a b)(a (^c.(a a)))) 2. ==[ alpha ]==> ((a b)(a (^x.(a a)))) REDUCED to normal form. ------ 79877/6815019. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 79878/6815046. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.(^a.a)))(^a.(^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. ------ 79879/6815055. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 79880/6815073. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a)(^b.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. ------ 79881/6815100. ------ 1. ==[ start ]==> (((a a) b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 79882/6815127. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(^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. ------ 79883/6815154. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 79884/6815181. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.b))) REDUCED to normal form. ------ 79885/6815217. ------ 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. ------ 79886/6815235. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 79887/6815244. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 79888/6815271. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(b a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(b a))) 3. ==[ beta ]==> ((a a)((^y.a)(b a))) 4. ==[ alpha ]==> ((a a)((^x.a)(b a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 79889/6815316. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.y))) REDUCED to normal form. ------ 79890/6815343. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) b) a)) 3. ==[ beta ]==> ((a a)(((^y.y) b) a)) 4. ==[ alpha ]==> ((a a)(((^x.x) b) a)) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 79891/6815370. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 79892/6815397. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a) c)) REDUCED to normal form. ------ 79893/6815460. ------ 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) a)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 79894/6815487. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 79895/6815541. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 79896/6815631. ------ 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)(^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. ------ 79897/6815658. ------ 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))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 79898/6815667. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) a)) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 79899/6815685. ------ 1. ==[ start ]==> (((^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))) 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. ------ 79900/6815694. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 79901/6815739. ------ 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))((^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. ------ 79902/6815766. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 79903/6815901. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^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. ------ 79904/6815928. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 79905/6815991. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 79906/6816018. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b a)(^a.(^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. ------ 79907/6816045. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 79908/6816072. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 79909/6816099. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 79910/6816153. ------ 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.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 9. ==[ beta ]==> ((^y.y)(^z.b)) 10. ==[ alpha ]==> ((^x.x)(^y.b)) 11. ==[ beta ]==> (^y.b) 12. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 79911/6816189. ------ 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)(^y.y))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 79912/6816216. ------ 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)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 79913/6816243. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^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. ------ 79914/6816270. ------ 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. ------ 79915/6816297. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 79916/6816576. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a ((^y.y) a))(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 79917/6816585. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.(^x1.x1))) 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. ------ 79918/6816657. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.b))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.b))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.b))((a a) a)) REDUCED to normal form. ------ 79919/6816846. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(b a))) 3. ==[ beta ]==> ((^y.b)((a a)(b a))) 4. ==[ alpha ]==> ((^x.b)((a a)(b a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 79920/6816990. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 79921/6817017. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) a)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a b) a)(^y.a)) 6. ==[ alpha ]==> (((a b) a)(^x.a)) REDUCED to normal form. ------ 79922/6817044. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(^y.b))) REDUCED to normal form. ------ 79923/6817098. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 79924/6817152. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((b a) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((b a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((b a) a)) 5. ==[ beta ]==> ((^y.a)((b a) a)) 6. ==[ alpha ]==> ((^x.a)((b a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 79925/6817179. ------ 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. ------ 79926/6817206. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a b)(^x.x))((a a) c)) REDUCED to normal form. ------ 79927/6817242. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 79928/6817296. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 79929/6817323. ------ 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. ------ 79930/6817350. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(a a)))) 7. ==[ beta ]==> (a ((^y.a)(^z.(a a)))) 8. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 79931/6817440. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.(a a))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((^x.(a a))(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 79932/6817467. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^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. ------ 79933/6817521. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^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. ------ 79934/6817602. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 79935/6817656. ------ 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. ------ 79936/6817692. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 79937/6817746. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 79938/6817773. ------ 1. ==[ start ]==> ((((^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)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.(y y)))) 7. ==[ beta ]==> ((((a a) a)(^y.(y y)))(((a a) a)(^y.(y y)))) 8. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 79939/6817800. ------ 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.(^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. ------ 79940/6817827. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 79941/6817854. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.b))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 79942/6817890. ------ 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.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. ------ 79943/6817917. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.y))) REDUCED to normal form. ------ 79944/6817971. ------ 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.(^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. ------ 79945/6817998. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b)(^b.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. ------ 79946/6818052. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^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. ------ 79947/6818106. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 79948/6818142. ------ 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)(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))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 79949/6818277. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 79950/6818358. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 79951/6818385. ------ 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.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. ------ 79952/6818421. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.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. ------ 79953/6818475. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a) a)(^b.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. ------ 79954/6818502. ------ 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)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.(z z))) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 79955/6818529. ------ 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. ------ 79956/6818583. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 79957/6818619. ------ 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. ------ 79958/6818646. ------ 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 a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 79959/6818673. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 79960/6818727. ------ 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.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 79961/6818754. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a))(^b.(^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. ------ 79962/6818781. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.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. ------ 79963/6818808. ------ 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.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. ------ 79964/6818835. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^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. ------ 79965/6818952. ------ 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. ------ 79966/6819033. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 79967/6819096. ------ 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. ------ 79968/6819204. ------ 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. ------ 79969/6819231. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(^y.b))) REDUCED to normal form. ------ 79970/6819285. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 79971/6819312. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z) c)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y) c)) 5. ==[ beta ]==> (((a b)(^x.(x x))) c) REDUCED to normal form. ------ 79972/6819411. ------ 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. ------ 79973/6819429. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.b))) 3. ==[ beta ]==> (((a a)(b a))(^y.b)) 4. ==[ alpha ]==> (((a a)(b a))(^x.b)) REDUCED to normal form. ------ 79974/6819591. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b (^x.a))) REDUCED to normal form. ------ 79975/6819618. ------ 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. ------ 79976/6819690. ------ 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 (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. ------ 79977/6819699. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(((^x1.x1) a)((^x1.x1) 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. ------ 79978/6819978. ------ 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))(((^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. ------ 79979/6819987. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 79980/6820005. ------ 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. ------ 79981/6820032. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 79982/6820086. ------ 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)))) 9. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 10. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 79983/6820122. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.x1))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 79984/6820176. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 79985/6820203. ------ 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 (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 79986/6820230. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 79987/6820284. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (a a)) b)) REDUCED to normal form. ------ 79988/6820320. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)(^b.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. ------ 79989/6820347. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 79990/6820374. ------ 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.(^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)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 79991/6820482. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b (^z.(z z)))) 3. ==[ beta ]==> (((a b)(^y.y))(b (^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 79992/6820509. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a (^b.(^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. ------ 79993/6820536. ------ 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))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 79994/6820581. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 79995/6820590. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 79996/6820617. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 79997/6820788. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 79998/6820896. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 79999/6820905. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(^z.a))) REDUCED to normal form. ------ 80000/6820932. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) 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. ------ 80001/6820950. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c (a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c (a a))) 3. ==[ beta ]==> (((^y.y) b)(c (a a))) 4. ==[ alpha ]==> (((^x.x) b)(c (a a))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 80002/6820959. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 80003/6820977. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 80004/6821031. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 80005/6821067. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1) c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z) c)) 5. ==[ beta ]==> ((^y.(a a))((^z.z) c)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 80006/6821094. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 80007/6821112. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 80008/6821121. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 80009/6821148. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 80010/6821175. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a) b)) REDUCED to normal form. ------ 80011/6821220. ------ 1. ==[ start ]==> (((^a.(^a.(^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))((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. ------ 80012/6821229. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^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. ------ 80013/6821256. ------ 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))) REDUCED to normal form. ------ 80014/6821292. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 80015/6821319. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 80016/6827010. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 80017/6827829. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 80018/6827874. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a)(^b.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. ------ 80019/6827991. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(a b))) 3. ==[ beta ]==> (^y.((^z.a)(a b))) 4. ==[ alpha ]==> (^x.((^y.a)(a b))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 80020/6828453. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 80021/6828462. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 80022/6828777. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.y1))) 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. ------ 80023/6829116. ------ 1. ==[ start ]==> ((^a.((a a) a))((b a) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((b a) b)) 3. ==[ beta ]==> ((((b a) b)((b a) b))((b a) b)) REDUCED to normal form. ------ 80024/6829371. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 80025/6829380. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 80026/6830016. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a))(^b.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. ------ 80027/6830460. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 80028/6830712. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 80029/6831189. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^z.(a a))) REDUCED to normal form. ------ 80030/6831654. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(a a)) a)) 3. ==[ eta ]==> (b ((^y.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 80031/6832491. ------ 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 ]==> (((a (a a))(^x1.a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 80032/6832584. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.((a a) a))) 5. ==[ beta ]==> ((a a)(^z.((a a) a))) 6. ==[ alpha ]==> ((a a)(^x.((a a) a))) REDUCED to normal form. ------ 80033/6832890. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 80034/6833094. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80035/6833409. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 80036/6833412. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 80037/6833421. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 80038/6833862. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a (^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 80039/6833916. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.b)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.b)) REDUCED to normal form. ------ 80040/6833943. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 80041/6834087. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.a)) 3. ==[ beta ]==> (((a a) b)(^y.a)) 4. ==[ alpha ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 80042/6834114. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 80043/6834162. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (a ((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (a ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 80044/6834180. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 80045/6834189. ------ 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. ------ 80046/6834234. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 80047/6834252. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 80048/6834279. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a)(^y.a))) REDUCED to normal form. ------ 80049/6834342. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 80050/6834369. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 80051/6834396. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(a b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(a b))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 80052/6834414. ------ 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. ------ 80053/6834477. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.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. ------ 80054/6834504. ------ 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.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. ------ 80055/6834558. ------ 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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 80056/6834585. ------ 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)))(^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. ------ 80057/6834747. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a)))((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(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. ------ 80058/6834774. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 80059/6834810. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (b a))) 3. ==[ beta ]==> ((a b)(c (b a))) REDUCED to normal form. ------ 80060/6834828. ------ 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 ]==> (((^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. ------ 80061/6834837. ------ 1. ==[ start ]==> (((a (a a)) a)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 80062/6834855. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(^b.b))) 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. ------ 80063/6834864. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 80064/6834891. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 80065/6834918. ------ 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. ------ 80066/6834945. ------ 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. ------ 80067/6835053. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((b b)((^y.y)(a b))) 6. ==[ alpha ]==> ((b b)((^x.x)(a b))) 7. ==[ beta ]==> ((b b)(a b)) REDUCED to normal form. ------ 80068/6835179. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.y1))) 5. ==[ beta ]==> ((^y.y)(a (^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 80069/6835314. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 80070/6835386. ------ 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)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 80071/6835467. ------ 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. ------ 80072/6835494. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z))) a)) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 80073/6835521. ------ 1. ==[ start ]==> ((a ((a a) a))((b a) b)) REDUCED to normal form. ------ 80074/6835557. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a))(^b.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. ------ 80075/6835611. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 80076/6835692. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 80077/6835719. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 80078/6835728. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c ((a a)(^x1.x1)))) REDUCED to normal form. ------ 80079/6835755. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (b a))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (b a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (b a))) REDUCED to normal form. ------ 80080/6835773. ------ 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 ]==> ((((^y.y) a)((^y.y) a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 80081/6835782. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 80082/6835809. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 80083/6835836. ------ 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 (^z.z)))) REDUCED to normal form. ------ 80084/6836025. ------ 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 (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 80085/6836205. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^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. ------ 80086/6836232. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^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. ------ 80087/6836259. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 80088/6836313. ------ 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 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. ------ 80089/6836394. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a))(^a.(^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. ------ 80090/6836421. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 80091/6836592. ------ 1. ==[ start ]==> (((^a.b) b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(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. ------ 80092/6836808. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a b) b)(a (a b))) REDUCED to normal form. ------ 80093/6836835. ------ 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 (^x.x))(a a))) REDUCED to normal form. ------ 80094/6836853. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 80095/6836862. ------ 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. ------ 80096/6836934. ------ 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 a))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(a (^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(a (^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((^z.(a a))(a (^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 11. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 12. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 80097/6837015. ------ 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)(^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. ------ 80098/6837087. ------ 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)(a a))((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 80099/6837114. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 80100/6837141. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) 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)) REDUCED to normal form. ------ 80101/6837168. ------ 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)(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. ------ 80102/6837195. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a b) c)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a b) c)) 5. ==[ beta ]==> ((a (a a))((a b) c)) REDUCED to normal form. ------ 80103/6837339. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^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. ------ 80104/6837483. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b) c)((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a b) c)(a (a a))) REDUCED to normal form. ------ 80105/6837510. ------ 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)(^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. ------ 80106/6837537. ------ 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))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((a a) a))) REDUCED to normal form. ------ 80107/6837582. ------ 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)(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. ------ 80108/6837591. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a)(a a))) REDUCED to normal form. ------ 80109/6837636. ------ 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))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 80110/6837717. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^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. ------ 80111/6837816. ------ 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)))) REDUCED to normal form. ------ 80112/6837843. ------ 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 (^x.x))(a a))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 80113/6837870. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a b) b)) 3. ==[ beta ]==> ((a (a b))((a b) b)) REDUCED to normal form. ------ 80114/6838059. ------ 1. ==[ start ]==> ((a (b a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a (b a))((^x.(a a)) a)) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 80115/6838230. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (^z.b))) 3. ==[ beta ]==> (b (b (^z.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 80116/6838338. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^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. ------ 80117/6838365. ------ 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 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. ------ 80118/6838419. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 80119/6838500. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 80120/6838653. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.b) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 80121/6838707. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^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. ------ 80122/6838842. ------ 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))) REDUCED to normal form. ------ 80123/6838896. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(^z.a))) REDUCED to normal form. ------ 80124/6838905. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 80125/6838986. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)((a a) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)((a a) a))) 5. ==[ beta ]==> ((a a)((^z.z)((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 80126/6839067. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.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. ------ 80127/6839184. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 80128/6839211. ------ 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. ------ 80129/6839283. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (^b.(^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. ------ 80130/6839292. ------ 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)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 80131/6839364. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(a (^y1.y1)))) 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. ------ 80132/6839472. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 80133/6839499. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 80134/6839598. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(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. ------ 80135/6839625. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 80136/6839652. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a) c)) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 80137/6839733. ------ 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. ------ 80138/6839778. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c c)) 3. ==[ beta ]==> ((^y.(^z.z))(c c)) 4. ==[ alpha ]==> ((^x.(^y.y))(c c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80139/6839787. ------ 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))) REDUCED to normal form. ------ 80140/6839814. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((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. ------ 80141/6839823. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(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. ------ 80142/6839850. ------ 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)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80143/6839985. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 80144/6840093. ------ 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.(^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. ------ 80145/6840102. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b c)) REDUCED to normal form. ------ 80146/6840147. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a)(^a.a))) 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. ------ 80147/6840156. ------ 1. ==[ start ]==> (((a a)(^b.b))(c (a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(c (a a))) REDUCED to normal form. ------ 80148/6840174. ------ 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.(^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. ------ 80149/6840183. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (a (^y1.y1)))) REDUCED to normal form. ------ 80150/6840264. ------ 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. ------ 80151/6840291. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c a)) REDUCED to normal form. ------ 80152/6840309. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^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. ------ 80153/6840318. ------ 1. ==[ start ]==> (((a b)(^c.a))(b b)) 2. ==[ alpha ]==> (((a b)(^x.a))(b b)) REDUCED to normal form. ------ 80154/6840345. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a c)) REDUCED to normal form. ------ 80155/6840372. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (a a))) REDUCED to normal form. ------ 80156/6840417. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(b (^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80157/6840426. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(a a))) REDUCED to normal form. ------ 80158/6840453. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b a)) 3. ==[ beta ]==> ((b (^y.y))(b a)) 4. ==[ alpha ]==> ((b (^x.x))(b a)) REDUCED to normal form. ------ 80159/6840489. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a) a)) 3. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 80160/6840516. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 80161/6840542. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(b a))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(b x))) 3. ==[ beta ]==> (^x.(x (b x))) REDUCED to normal form. ------ 80162/6840543. ------ 1. ==[ start ]==> (a (((^a.a) a)(b a))) 2. ==[ alpha ]==> (a (((^x.x) a)(b a))) 3. ==[ beta ]==> (a (a (b a))) REDUCED to normal form. ------ 80163/6840600. ------ 1. ==[ start ]==> ((^a.b)(^c.((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.z) b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 80164/6843030. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(b z))) 3. ==[ eta ]==> ((^x.((^y.y)(x x))) b) 4. ==[ beta ]==> ((^y.y)(b b)) 5. ==[ alpha ]==> ((^x.x)(b b)) 6. ==[ beta ]==> (b b) REDUCED to normal form. ------ 80165/6844461. ------ 1. ==[ start ]==> ((^a.(b a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.((^z.z)(y y)))) 3. ==[ eta ]==> (b (^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 80166/6846948. ------ 1. ==[ start ]==> ((((^a.a) a)(b a)) a) 2. ==[ alpha ]==> ((((^x.x) a)(b a)) a) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 80167/6846954. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) 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. ------ 80168/6846981. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^z.(^x1.x1))))((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 80169/6847008. ------ 1. ==[ start ]==> ((^a.b)((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)((a a)((^y.y) b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 80170/6847011. ------ 1. ==[ start ]==> ((a b)(^c.((^a.a) b))) 2. ==[ alpha ]==> ((a b)(^x.((^y.y) b))) 3. ==[ beta ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 80171/6847044. ------ 1. ==[ start ]==> ((^a.(^a.(^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. ------ 80172/6847206. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)(^z.b))) 3. ==[ beta ]==> (^y.(((a a) a)(^z.b))) 4. ==[ alpha ]==> (^x.(((a a) a)(^y.b))) REDUCED to normal form. ------ 80173/6847353. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x) 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. ------ 80174/6847677. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 80175/6847773. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) d)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 80176/6847899. ------ 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.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. ------ 80177/6848001. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 80178/6848595. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 80179/6848664. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 80180/6848844. ------ 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 ]==> (((a (^y.y))((a a)(^z.z))) b) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 80181/6849162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 80182/6849231. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (^y.((((^z.z)(a a)) c)(((^z.z)(a a)) c))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a)) c)(((^z.z)(a a)) c))) 5. ==[ beta ]==> (^x.(((a a) c)(((^z.z)(a a)) c))) 6. ==[ alpha ]==> (^x.(((a a) c)(((^y.y)(a a)) c))) 7. ==[ beta ]==> (^x.(((a a) c)((a a) c))) REDUCED to normal form. ------ 80183/6849438. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a (b a))) 3. ==[ beta ]==> ((^y.y)((a (b a))(a (b a)))) 4. ==[ alpha ]==> ((^x.x)((a (b a))(a (b a)))) 5. ==[ beta ]==> ((a (b a))(a (b a))) REDUCED to normal form. ------ 80184/6849441. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(b y))) 3. ==[ eta ]==> ((a ((^x.x)(a a))) b) 4. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 80185/6850431. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 80186/6850869. ------ 1. ==[ start ]==> ((^a.(b a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(a ((^y.y)(a a)))) 3. ==[ eta ]==> (b (a ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 80187/6850872. ------ 1. ==[ start ]==> ((a (b a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (b a))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((a (b a))(^x.(x x))) REDUCED to normal form. ------ 80188/6851466. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 80189/6851799. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(^c.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. ------ 80190/6852132. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 80191/6852309. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80192/6852411. ------ 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)(^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. ------ 80193/6852636. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 80194/6852942. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.((^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)(^x.a)) REDUCED to normal form. ------ 80195/6853104. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 80196/6853158. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 80197/6853266. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.(^a.(^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. ------ 80198/6853302. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.b)) 3. ==[ beta ]==> (((a a) b)(^y.b)) 4. ==[ alpha ]==> (((a a) b)(^x.b)) REDUCED to normal form. ------ 80199/6853329. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 80200/6853356. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.y)) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 80201/6853368. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)(b a))) 3. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 80202/6853395. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 80203/6853413. ------ 1. ==[ start ]==> (((a a) a)(b (^b.b))) 2. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 80204/6853422. ------ 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. ------ 80205/6853458. ------ 1. ==[ start ]==> ((a (^a.(^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. ------ 80206/6853467. ------ 1. ==[ start ]==> (((^a.a) b)((^b.b)(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. ------ 80207/6853494. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 80208/6853512. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a)(^b.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. ------ 80209/6853539. ------ 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))(^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. ------ 80210/6853566. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 80211/6853575. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 80212/6853593. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 80213/6853602. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 80214/6853620. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.b))) REDUCED to normal form. ------ 80215/6853656. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 80216/6853728. ------ 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))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 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. ------ 80217/6853737. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^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. ------ 80218/6853764. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)((^a.a) 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)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 80219/6853782. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) b) a)) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) 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)) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 80220/6853791. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 80221/6853809. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((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. ------ 80222/6853818. ------ 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)))(^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. ------ 80223/6854061. ------ 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))))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 80224/6854088. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 80225/6854106. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 80226/6854187. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 80227/6854205. ------ 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. ------ 80228/6854232. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a b)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.y))) REDUCED to normal form. ------ 80229/6854259. ------ 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. ------ 80230/6854286. ------ 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))((^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. ------ 80231/6854313. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 80232/6854412. ------ 1. ==[ start ]==> (((a (a a)) b)(a (^b.b))) 2. ==[ alpha ]==> (((a (a a)) b)(a (^x.x))) REDUCED to normal form. ------ 80233/6854439. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a a))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 80234/6854457. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b a)(^a.(^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. ------ 80235/6854484. ------ 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 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)) REDUCED to normal form. ------ 80236/6854520. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 80237/6854538. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 80238/6854547. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 80239/6854781. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) c)) 5. ==[ beta ]==> (((a a)(^y.y)) c) 6. ==[ alpha ]==> (((a a)(^x.x)) c) REDUCED to normal form. ------ 80240/6854871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.a))) 5. ==[ beta ]==> (b ((^y.a)(^z.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 80241/6854898. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 80242/6854952. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.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. ------ 80243/6855006. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 80244/6855078. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 80245/6855096. ------ 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))((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. ------ 80246/6855123. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(a (a a)))) REDUCED to normal form. ------ 80247/6855150. ------ 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. ------ 80248/6855177. ------ 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)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^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))) 7. ==[ beta ]==> (((a (a a)) a)((a a) a)) REDUCED to normal form. ------ 80249/6855204. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(a (^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. ------ 80250/6855231. ------ 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))(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. ------ 80251/6855249. ------ 1. ==[ start ]==> (((^a.b) a)(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 80252/6855258. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 80253/6855348. ------ 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)(^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. ------ 80254/6855411. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 80255/6855429. ------ 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 a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 80256/6855438. ------ 1. ==[ start ]==> (((a b) a)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 80257/6855456. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^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. ------ 80258/6855465. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 80259/6855483. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 80260/6855519. ------ 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.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. ------ 80261/6855546. ------ 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 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. ------ 80262/6855573. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(b a))) 5. ==[ beta ]==> ((^y.a)((^z.z)(b a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(b a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 80263/6855618. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a)(^y.y)) b)) 3. ==[ beta ]==> (b (((a a)(^y.y)) b)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) b)) REDUCED to normal form. ------ 80264/6855627. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^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. ------ 80265/6855645. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a)) c)) 3. ==[ beta ]==> ((a (^x.(a a)))((a a) c)) REDUCED to normal form. ------ 80266/6855816. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^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. ------ 80267/6855825. ------ 1. ==[ start ]==> (((a b)(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 80268/6855852. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a (b a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (b a))) 3. ==[ beta ]==> ((a (a a))(a (b a))) REDUCED to normal form. ------ 80269/6855888. ------ 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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80270/6856086. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 80271/6856158. ------ 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)(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. ------ 80272/6856167. ------ 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 a)) REDUCED to normal form. ------ 80273/6856194. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.b)((^z.z) a))) 7. ==[ beta ]==> (((^y.b)((^z.z) a))((^y.b)((^z.z) a))) 8. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b)((^x1.x1) a))) 9. ==[ beta ]==> (b ((^z.b)((^x1.x1) a))) 10. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 80274/6856221. ------ 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) REDUCED to normal form. ------ 80275/6856239. ------ 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.(^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. ------ 80276/6856248. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 80277/6856275. ------ 1. ==[ start ]==> ((((^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) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 80278/6856464. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 80279/6856698. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 80280/6856815. ------ 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. ------ 80281/6856842. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 80282/6856860. ------ 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))(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(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. ------ 80283/6856896. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80284/6856941. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 80285/6856950. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 80286/6856977. ------ 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)(^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. ------ 80287/6857004. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 80288/6857256. ------ 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. ------ 80289/6857283. ------ 1. ==[ start ]==> ((a (b a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (b a))(a ((^x.x)(a a)))) 3. ==[ beta ]==> ((a (b a))(a (a a))) REDUCED to normal form. ------ 80290/6857517. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.b)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 80291/6857562. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a))(^b.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)((^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. ------ 80292/6857589. ------ 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.(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. ------ 80293/6857625. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 80294/6857643. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 80295/6857652. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^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. ------ 80296/6857706. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 80297/6857724. ------ 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) b)) REDUCED to normal form. ------ 80298/6857733. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a)(^a.(^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. ------ 80299/6857760. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^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. ------ 80300/6857787. ------ 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 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. ------ 80301/6857850. ------ 1. ==[ start ]==> (((a a)(b a))(b ((a a) a))) REDUCED to normal form. ------ 80302/6857877. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (a b))) REDUCED to normal form. ------ 80303/6857904. ------ 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. ------ 80304/6857931. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(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. ------ 80305/6857958. ------ 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.z) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a 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. ------ 80306/6857985. ------ 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 (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 80307/6858012. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 80308/6858039. ------ 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))) 5. ==[ beta ]==> (((a a) a)((a a)((a a) a))) REDUCED to normal form. ------ 80309/6858111. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 80310/6858129. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 80311/6858210. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(^z.a))) 5. ==[ beta ]==> ((a a)((a a)(^z.a))) 6. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 80312/6858291. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 80313/6858426. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 80314/6858453. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) c)) 5. ==[ beta ]==> ((^y.(y y)) c) 6. ==[ alpha ]==> ((^x.(x x)) c) 7. ==[ beta ]==> (c c) REDUCED to normal form. ------ 80315/6858516. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 80316/6858543. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.a))) 5. ==[ beta ]==> ((^y.b)(a (^z.a))) 6. ==[ alpha ]==> ((^x.b)(a (^y.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 80317/6858588. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 80318/6858597. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 80319/6858624. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 80320/6858651. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^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. ------ 80321/6858696. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 80322/6858705. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(^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. ------ 80323/6858723. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((a (a a)) b)) REDUCED to normal form. ------ 80324/6858768. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(c a)) REDUCED to normal form. ------ 80325/6858795. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^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. ------ 80326/6858822. ------ 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)(^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. ------ 80327/6858849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.y)(a b))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (a a))(a a))) 5. ==[ beta ]==> ((a b)((a (a a))(a a))) REDUCED to normal form. ------ 80328/6858876. ------ 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. ------ 80329/6858903. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 80330/6858930. ------ 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. ------ 80331/6859002. ------ 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. ------ 80332/6859047. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 80333/6859074. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((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. ------ 80334/6859209. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 80335/6859317. ------ 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 (^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. ------ 80336/6859326. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 80337/6859353. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((b a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((b a)((^x.x)((^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. ------ 80338/6859371. ------ 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)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 80339/6859380. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 80340/6859398. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1)) 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. ------ 80341/6859407. ------ 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.(^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. ------ 80342/6859452. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a) a)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 80343/6859488. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b (^a.(^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. ------ 80344/6859515. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.a))) REDUCED to normal form. ------ 80345/6859533. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a 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. ------ 80346/6859542. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^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. ------ 80347/6859569. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 80348/6859596. ------ 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))(^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. ------ 80349/6859641. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 80350/6859650. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (^y1.y1))) REDUCED to normal form. ------ 80351/6859677. ------ 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)))) REDUCED to normal form. ------ 80352/6859713. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a b)) 3. ==[ beta ]==> (((a a) b)(a b)) REDUCED to normal form. ------ 80353/6859740. ------ 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. ------ 80354/6859767. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a a)) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 80355/6863694. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(a a)))) 3. ==[ eta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 80356/6866181. ------ 1. ==[ start ]==> ((((^a.a) a)(b a)) b) 2. ==[ alpha ]==> ((((^x.x) a)(b a)) b) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 80357/6866205. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80358/6866250. ------ 1. ==[ start ]==> ((^a.b)(b (^b.b))) 2. ==[ alpha ]==> ((^x.b)(b (^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 80359/6866331. ------ 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 ]==> (((^z.(^x1.(^y1.y1)))(a (^z1.z1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80360/6866520. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 80361/6866937. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 80362/6867015. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 80363/6867549. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(a (^x1.(^y1.y1))))) 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. ------ 80364/6867573. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((((^y.(^z.(^x1.x1)))(^y1.y1))((^y.(^z.(^x1.x1)))(^y1.y1)))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.(^x2.x2)))(^y2.y2)))((^z2.(^x3.(^y3.y3)))(^z3.z3))) 5. ==[ beta ]==> (((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(^y2.y2)))((^z2.(^x3.(^y3.y3)))(^z3.z3))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1)))((^x2.(^y2.(^z2.z2)))(^x3.x3))) 7. ==[ beta ]==> ((^y.y)((^x2.(^y2.(^z2.z2)))(^x3.x3))) 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. ------ 80365/6867906. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 80366/6868086. ------ 1. ==[ start ]==> ((^a.(a b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((c (^y.(^z.z))) b) 4. ==[ alpha ]==> ((c (^x.(^y.y))) b) REDUCED to normal form. ------ 80367/6868404. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 80368/6868692. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(b z))) 3. ==[ eta ]==> (((^x.x)(^y.(a a))) b) 4. ==[ beta ]==> ((^y.(a a)) b) 5. ==[ alpha ]==> ((^x.(a a)) b) 6. ==[ beta ]==> (a a) REDUCED to normal form. ------ 80369/6868935. ------ 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))) REDUCED to normal form. ------ 80370/6869196. ------ 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)))) REDUCED to normal form. ------ 80371/6869898. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^y.(a a))) REDUCED to normal form. ------ 80372/6870111. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(^z.(a a)))) 3. ==[ eta ]==> (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. ------ 80373/6870114. ------ 1. ==[ start ]==> ((a (b a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 80374/6870708. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 80375/6870897. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 80376/6870948. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(a (^z1.z1)))(^y.(^z.z))) 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. ------ 80377/6871230. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 80378/6871653. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(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. ------ 80379/6871788. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.(^b.(^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. ------ 80380/6871866. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 80381/6872184. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.a))) 3. ==[ beta ]==> ((b a)(^y.(^z.a))) 4. ==[ alpha ]==> ((b a)(^x.(^y.a))) REDUCED to normal form. ------ 80382/6872283. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(x x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.z)) 5. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 80383/6872346. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.c)) REDUCED to normal form. ------ 80384/6872400. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.(^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)))) REDUCED to normal form. ------ 80385/6872472. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(y1 (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80386/6872508. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.z)) 3. ==[ beta ]==> ((b (^y.y))(^z.z)) 4. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 80387/6872544. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(a a))) 3. ==[ beta ]==> (((a a) b)(^y.(a a))) 4. ==[ alpha ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 80388/6872571. ------ 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. ------ 80389/6872598. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.z))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 80390/6872628. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a (^x.x))(a (b a))) REDUCED to normal form. ------ 80391/6872655. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 80392/6872673. ------ 1. ==[ start ]==> ((a b)(b (^b.b))) 2. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 80393/6872682. ------ 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))) 5. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 80394/6872718. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 80395/6872727. ------ 1. ==[ start ]==> (((a a)(a a))((^b.b)(a a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 80396/6872745. ------ 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))) REDUCED to normal form. ------ 80397/6872754. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 80398/6872772. ------ 1. ==[ start ]==> (((a a) b)((b a)(^b.a))) 2. ==[ alpha ]==> (((a a) b)((b a)(^x.a))) REDUCED to normal form. ------ 80399/6872799. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 80400/6872826. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 80401/6872853. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.a))) REDUCED to normal form. ------ 80402/6872907. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 80403/6872916. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 80404/6872943. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 80405/6872988. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 80406/6873015. ------ 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. ------ 80407/6873042. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) b) a)) 3. ==[ beta ]==> (((a a)(^x.a))(b a)) REDUCED to normal form. ------ 80408/6873069. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) REDUCED to normal form. ------ 80409/6873096. ------ 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)) REDUCED to normal form. ------ 80410/6873159. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 80411/6873186. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.a))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 80412/6873330. ------ 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. ------ 80413/6873357. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 80414/6873366. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 80415/6873393. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 80416/6873411. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 80417/6873438. ------ 1. ==[ start ]==> ((a (^b.(^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 (^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 80418/6873573. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80419/6873600. ------ 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) 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. ------ 80420/6873654. ------ 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 (^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. ------ 80421/6873690. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.(^a.a)))(^a.a))) 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))) REDUCED to normal form. ------ 80422/6873717. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 80423/6873744. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 80424/6873771. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.a))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 80425/6873798. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 80426/6873861. ------ 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)(^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 80427/6873888. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 80428/6873915. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.a)((a a)(^y.y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 80429/6873942. ------ 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. ------ 80430/6873969. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(a (^x1.(^y1.y1))))) 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. ------ 80431/6873996. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 80432/6874248. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (b a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (b a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (b a))) 5. ==[ beta ]==> ((a ((^y.y) a))(b (b a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b (b a))) 7. ==[ beta ]==> ((a a)(b (b a))) REDUCED to normal form. ------ 80433/6874284. ------ 1. ==[ start ]==> ((((^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))) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80434/6874329. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 80435/6874509. ------ 1. ==[ start ]==> ((a (a b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 80436/6874518. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 80437/6874662. ------ 1. ==[ start ]==> ((((a a) a) b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a b)(^x.(x x)))) REDUCED to normal form. ------ 80438/6874689. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 80439/6874716. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.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. ------ 80440/6874770. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 80441/6874851. ------ 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. ------ 80442/6874878. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 80443/6874914. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 80444/6874941. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 80445/6874995. ------ 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. ------ 80446/6875022. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.b))) 7. ==[ beta ]==> (a ((^y.(y y))(^z.b))) 8. ==[ alpha ]==> (a ((^x.(x x))(^y.b))) 9. ==[ beta ]==> (a ((^y.b)(^y.b))) 10. ==[ alpha ]==> (a ((^x.b)(^y.b))) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 80447/6875049. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 80448/6875076. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^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. ------ 80449/6875112. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (b a))) 3. ==[ beta ]==> ((^y.(a a))(a (b a))) 4. ==[ alpha ]==> ((^x.(a a))(a (b a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 80450/6875139. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((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)) REDUCED to normal form. ------ 80451/6875193. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((a b)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)((a 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. ------ 80452/6875274. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 80453/6875328. ------ 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)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^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 (^x.x))(a a))) REDUCED to normal form. ------ 80454/6875355. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 80455/6875418. ------ 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.(^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. ------ 80456/6875445. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b)(^b.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. ------ 80457/6875472. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 80458/6875499. ------ 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.(^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. ------ 80459/6875562. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(a b))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 80460/6875589. ------ 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.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. ------ 80461/6875616. ------ 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)(^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. ------ 80462/6875670. ------ 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.(^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. ------ 80463/6875697. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b)(^b.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. ------ 80464/6875715. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a) d)) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a) d)) 3. ==[ beta ]==> (b (((a a) a) d)) REDUCED to normal form. ------ 80465/6875724. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 80466/6875751. ------ 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.(^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. ------ 80467/6875814. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 80468/6875949. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 80469/6875958. ------ 1. ==[ start ]==> (((a b) c)((^c.a) d)) 2. ==[ alpha ]==> (((a b) c)((^x.a) d)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 80470/6876030. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 80471/6876057. ------ 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.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. ------ 80472/6876147. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b)(^a.(^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. ------ 80473/6876174. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 80474/6876201. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 80475/6876228. ------ 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.(^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. ------ 80476/6876291. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^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. ------ 80477/6876318. ------ 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)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a a))) 7. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 80478/6876345. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 80479/6876372. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.b)(^a.(^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. ------ 80480/6876426. ------ 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 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. ------ 80481/6876453. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))(^b.(^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. ------ 80482/6876480. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 80483/6876507. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^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. ------ 80484/6876534. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(^b.(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. ------ 80485/6876624. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 7. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 9. ==[ beta ]==> (b ((^y.y) a)) 10. ==[ alpha ]==> (b ((^x.x) a)) 11. ==[ beta ]==> (b a) REDUCED to normal form. ------ 80486/6876705. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((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. ------ 80487/6876768. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b)(^y.y))) REDUCED to normal form. ------ 80488/6876876. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)(^b.(^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. ------ 80489/6876903. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 80490/6876957. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 80491/6876984. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a) a) b)) REDUCED to normal form. ------ 80492/6877011. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z) c)) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y) c)) 7. ==[ beta ]==> (((a a)(^x.a)) c) REDUCED to normal form. ------ 80493/6877101. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))(^c.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. ------ 80494/6877128. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.b)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.b)) REDUCED to normal form. ------ 80495/6877263. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c (^x.(^y.y)))) REDUCED to normal form. ------ 80496/6877290. ------ 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))) 5. ==[ beta ]==> (((a a) a)(b (^y.a))) 6. ==[ alpha ]==> (((a a) a)(b (^x.a))) REDUCED to normal form. ------ 80497/6877317. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.b))) REDUCED to normal form. ------ 80498/6877362. ------ 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))(^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. ------ 80499/6877371. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(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. ------ 80500/6877650. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 80501/6877677. ------ 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.y1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 80502/6877686. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 80503/6877704. ------ 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. ------ 80504/6877758. ------ 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 (^z.z))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a (a a)))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 80505/6877848. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 80506/6877875. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 80507/6877902. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 80508/6877956. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 80509/6877992. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 80510/6878019. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 80511/6878046. ------ 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.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 80512/6878073. ------ 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)))) 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. ------ 80513/6878154. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c (^z.a))) 3. ==[ beta ]==> (((a b)(^y.y))(c (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (^y.a))) REDUCED to normal form. ------ 80514/6878181. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b (^y.(y y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.(x x)))) REDUCED to normal form. ------ 80515/6878208. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a (^b.(^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. ------ 80516/6878253. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^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. ------ 80517/6878262. ------ 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)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 80518/6878289. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 80519/6878460. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 80520/6878577. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 80521/6878604. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) 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. ------ 80522/6878631. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 80523/6878658. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1)) b)) REDUCED to normal form. ------ 80524/6878703. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 80525/6878739. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z)) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 80526/6878766. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y) c)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) c) REDUCED to normal form. ------ 80527/6878784. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 80528/6878793. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 80529/6878820. ------ 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.(^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. ------ 80530/6878847. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z)) a)) REDUCED to normal form. ------ 80531/6878892. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(a (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80532/6878901. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^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. ------ 80533/6878928. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) 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 (^x.x)) b) REDUCED to normal form. ------ 80534/6878964. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 80535/6878991. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(^y1.y1))) 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. ------ 80536/6879018. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a (^y.y))) 3. ==[ beta ]==> ((a (b a))(a (^y.y))) 4. ==[ alpha ]==> ((a (b a))(a (^x.x))) REDUCED to normal form. ------ 80537/6885441. ------ 1. ==[ start ]==> ((((^a.a) a)(b a)) c) 2. ==[ alpha ]==> ((((^x.x) a)(b a)) c) 3. ==[ beta ]==> ((a (b a)) c) REDUCED to normal form. ------ 80538/6885600. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.(^a.a)))(^a.(^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. ------ 80539/6885717. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)((a a) a))) 3. ==[ beta ]==> (^y.((^z.b)((a a) a))) 4. ==[ alpha ]==> (^x.((^y.b)((a a) a))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 80540/6885882. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)((^y.y) 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. ------ 80541/6886206. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 80542/6886215. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^z.b)) REDUCED to normal form. ------ 80543/6886512. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 80544/6886842. ------ 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)) REDUCED to normal form. ------ 80545/6887133. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80546/6887742. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a))(^a.(^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. ------ 80547/6888213. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 80548/6888942. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.b))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.b))(^y.(a a))) REDUCED to normal form. ------ 80549/6889929. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)(^b.(^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. ------ 80550/6890217. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))(^y.(^z.z))) 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. ------ 80551/6890499. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 80552/6890508. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((z z) z))) REDUCED to normal form. ------ 80553/6890643. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 80554/6890796. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 80555/6890820. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^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. ------ 80556/6891135. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 80557/6891174. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z1.(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. ------ 80558/6891471. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.((^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 (^x.a)) REDUCED to normal form. ------ 80559/6891552. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 80560/6891615. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 80561/6891633. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 80562/6891741. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.(^a.(^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. ------ 80563/6891750. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(y1 (^z1.z1)))) REDUCED to normal form. ------ 80564/6891777. ------ 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))) REDUCED to normal form. ------ 80565/6891813. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.z))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 80566/6891867. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.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. ------ 80567/6891915. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(b a))) 3. ==[ beta ]==> (a (((^y.y) a)(b a))) 4. ==[ alpha ]==> (a (((^x.x) a)(b a))) 5. ==[ beta ]==> (a (a (b a))) REDUCED to normal form. ------ 80568/6891942. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 80569/6891960. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (^y.y))) 3. ==[ beta ]==> ((a a)(b (^y.y))) 4. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 80570/6891969. ------ 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. ------ 80571/6892005. ------ 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. ------ 80572/6892032. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 80573/6892041. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80574/6892122. ------ 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)(^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. ------ 80575/6892149. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)((a a) a))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 80576/6892167. ------ 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. ------ 80577/6892194. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^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. ------ 80578/6892230. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 80579/6892257. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(b a))) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 80580/6892311. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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 ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 80581/6892338. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 80582/6892527. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 80583/6892608. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^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. ------ 80584/6892617. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 80585/6892635. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(^b.b))) 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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80586/6892644. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a b)) REDUCED to normal form. ------ 80587/6892671. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 80588/6892698. ------ 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. ------ 80589/6892806. ------ 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 b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 80590/6892932. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 80591/6892941. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 80592/6892986. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 80593/6893067. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 80594/6893139. ------ 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)(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.x))((^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. ------ 80595/6893166. ------ 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. ------ 80596/6893247. ------ 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. ------ 80597/6893274. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 80598/6893364. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a ((^z.(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 80599/6893445. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 80600/6893472. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(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. ------ 80601/6893535. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (b a))) REDUCED to normal form. ------ 80602/6893562. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.(^x1.x1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80603/6893589. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((b a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((b a)(a a))) REDUCED to normal form. ------ 80604/6893778. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 80605/6893796. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(c (^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 80606/6893958. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 80607/6893985. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 80608/6894012. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 80609/6894066. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 80610/6894174. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a))(^a.(^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. ------ 80611/6894192. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a)) c)) 3. ==[ beta ]==> (((a a)(a b))((a a) c)) REDUCED to normal form. ------ 80612/6894345. ------ 1. ==[ start ]==> (((^a.b) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(c ((^y.y)(a a)))) 3. ==[ beta ]==> (b (c ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 80613/6894561. ------ 1. ==[ start ]==> (((a b) b)((a (a a))((a a) a))) REDUCED to normal form. ------ 80614/6894588. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)(a b))) 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. ------ 80615/6894615. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a (^y.y))(a a))) REDUCED to normal form. ------ 80616/6894633. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 80617/6894642. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 80618/6894768. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 80619/6894840. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 80620/6894867. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 80621/6894921. ------ 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.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. ------ 80622/6894948. ------ 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)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a)) b)) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a)) b)) 7. ==[ beta ]==> ((a (a a))((a a) b)) REDUCED to normal form. ------ 80623/6894975. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b) c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a b) c)) 3. ==[ beta ]==> ((((a a) a) a)((a b) c)) REDUCED to normal form. ------ 80624/6895092. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.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. ------ 80625/6895236. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a b) c)(((a a) a) a)) REDUCED to normal form. ------ 80626/6895263. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 80627/6895290. ------ 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. ------ 80628/6895344. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(a b))) REDUCED to normal form. ------ 80629/6895371. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.b))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.b))((a a)(a a))) REDUCED to normal form. ------ 80630/6895470. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 80631/6895569. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 80632/6895596. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((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. ------ 80633/6895623. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 80634/6895650. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b) b)) REDUCED to normal form. ------ 80635/6895983. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (^c.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. ------ 80636/6896091. ------ 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)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 80637/6896118. ------ 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.(^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. ------ 80638/6896172. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 80639/6896253. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^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. ------ 80640/6896361. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)(^b.(^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. ------ 80641/6896433. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.b) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.b) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b) a)) 5. ==[ beta ]==> ((a (a a))((^y.b) a)) 6. ==[ alpha ]==> ((a (a a))((^x.b) a)) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 80642/6896460. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.a) b)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a) b)) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 80643/6896487. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z)) c)) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) c)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 80644/6896649. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^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. ------ 80645/6896658. ------ 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 (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 80646/6896739. ------ 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))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 80647/6896820. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^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. ------ 80648/6896937. ------ 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. ------ 80649/6896964. ------ 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.y1))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 80650/6897045. ------ 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. ------ 80651/6897072. ------ 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. ------ 80652/6897117. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(^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. ------ 80653/6897180. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c d)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c d)) REDUCED to normal form. ------ 80654/6897225. ------ 1. ==[ start ]==> (((^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)))) 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. ------ 80655/6897252. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^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. ------ 80656/6897270. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (a a)) b)) REDUCED to normal form. ------ 80657/6897297. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a) c)) 3. ==[ beta ]==> (((a (^x.x))(b a))(a c)) REDUCED to normal form. ------ 80658/6897378. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 80659/6897405. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x)) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b b)) REDUCED to normal form. ------ 80660/6897432. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a) c)) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 80661/6897540. ------ 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)(^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. ------ 80662/6897567. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 80663/6897576. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))((^a.a) 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. ------ 80664/6897603. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)(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. ------ 80665/6897738. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d (^z.z))) 3. ==[ beta ]==> (b (d (^z.z))) 4. ==[ alpha ]==> (b (d (^x.x))) REDUCED to normal form. ------ 80666/6897846. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 80667/6897855. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c b)) REDUCED to normal form. ------ 80668/6897882. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b c)) 2. ==[ alpha ]==> ((((^x.x) b) a)(b c)) 3. ==[ beta ]==> ((b a)(b c)) REDUCED to normal form. ------ 80669/6897900. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^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. ------ 80670/6897927. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 80671/6897981. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.a)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.a)) REDUCED to normal form. ------ 80672/6898017. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(a a))) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z))(a a))) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 80673/6898044. ------ 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. ------ 80674/6898062. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a (^y.a))) 3. ==[ beta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 80675/6898071. ------ 1. ==[ start ]==> (((a b)(^c.a))(c a)) 2. ==[ alpha ]==> (((a b)(^x.a))(c a)) REDUCED to normal form. ------ 80676/6898098. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 80677/6898170. ------ 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)(^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. ------ 80678/6898179. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (a (^y1.y1)))) REDUCED to normal form. ------ 80679/6898206. ------ 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. ------ 80680/6898242. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 80681/6898269. ------ 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. ------ 80682/6898296. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b 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. ------ 80683/6898322. ------ 1. ==[ start ]==> (^a.((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.((x (x x))((x x)(^y.y)))) REDUCED to normal form. ------ 80684/6898323. ------ 1. ==[ start ]==> (a ((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (a ((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 80685/6904755. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a))) a) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 80686/6904761. ------ 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. ------ 80687/6904788. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((((^y.y) a)(b a))(((^y.y) a)(b a))) 4. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a)(b a))) 5. ==[ beta ]==> ((a (b a))(((^y.y) a)(b a))) 6. ==[ alpha ]==> ((a (b a))(((^x.x) a)(b a))) 7. ==[ beta ]==> ((a (b a))(a (b a))) REDUCED to normal form. ------ 80688/6904815. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 80689/6904863. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(y y)))) 3. ==[ beta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 80690/6905013. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)(^z.a))) 3. ==[ beta ]==> (^y.((a b)(^z.a))) 4. ==[ alpha ]==> (^x.((a b)(^y.a))) REDUCED to normal form. ------ 80691/6905187. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 80692/6905256. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b a) c)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b a) c)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 80693/6905511. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 80694/6905706. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(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. ------ 80695/6905835. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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. ------ 80696/6906429. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80697/6906651. ------ 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 ]==> ((((^y.y) a)((^z.z)(a a))) b) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a))) b) 5. ==[ beta ]==> ((a ((^y.y)(a a))) b) 6. ==[ alpha ]==> ((a ((^x.x)(a a))) b) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 80698/6906996. ------ 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. ------ 80699/6907038. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (^y.((((a a)(^z.z)) b)(((a a)(^z.z)) b))) 4. ==[ alpha ]==> (^x.((((a a)(^y.y)) b)(((a a)(^z.z)) b))) REDUCED to normal form. ------ 80700/6907245. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)((b ((a a)(^z.z)))(b ((a a)(^z.z))))) 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)))) REDUCED to normal form. ------ 80701/6908676. ------ 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. ------ 80702/6908913. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(y y)))) REDUCED to normal form. ------ 80703/6909102. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a z))) 3. ==[ eta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 80704/6909300. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(z b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(z b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(y b))) 5. ==[ beta ]==> ((a (a a))(^y.(y b))) 6. ==[ alpha ]==> ((a (a a))(^x.(x b))) REDUCED to normal form. ------ 80705/6909804. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.a))) REDUCED to normal form. ------ 80706/6910101. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.y1))) REDUCED to normal form. ------ 80707/6910116. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80708/6910245. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.((^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)(^x.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 80709/6910431. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 80710/6910767. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.a))) 5. ==[ beta ]==> (b (^y.(^z.a))) 6. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 80711/6910776. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 80712/6910929. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 80713/6910938. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 80714/6910992. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 80715/6911046. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 80716/6911136. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.b)) REDUCED to normal form. ------ 80717/6911163. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(y y))) 3. ==[ beta ]==> ((a (b a))(^y.(y y))) 4. ==[ alpha ]==> ((a (b a))(^x.(x x))) REDUCED to normal form. ------ 80718/6911190. ------ 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. ------ 80719/6911202. ------ 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. ------ 80720/6911229. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)(b a))) 3. ==[ beta ]==> ((a (a a))(a (b a))) REDUCED to normal form. ------ 80721/6911256. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 80722/6911274. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 80723/6911301. ------ 1. ==[ start ]==> (((^a.a) b)(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(a (^y.(a a)))) 3. ==[ beta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 80724/6911328. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.b)(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. ------ 80725/6911346. ------ 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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80726/6911355. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 80727/6911373. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b a)(^b.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. ------ 80728/6911400. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 80729/6911427. ------ 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.(^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. ------ 80730/6911436. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 80731/6911454. ------ 1. ==[ start ]==> ((a (^b.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 80732/6911490. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 80733/6911535. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.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)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 80734/6911571. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(b a))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 80735/6911598. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^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. ------ 80736/6911616. ------ 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. ------ 80737/6911625. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 80738/6911643. ------ 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)(((^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. ------ 80739/6911652. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 80740/6911679. ------ 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)))(^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. ------ 80741/6911697. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b a) c)) 2. ==[ alpha ]==> ((a (^x.(x x)))((b a) c)) REDUCED to normal form. ------ 80742/6911787. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 80743/6911868. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 80744/6911922. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^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. ------ 80745/6911949. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 80746/6911994. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 80747/6912039. ------ 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) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 80748/6912066. ------ 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)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)(a (a a)))) REDUCED to normal form. ------ 80749/6912093. ------ 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. ------ 80750/6912120. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 80751/6912147. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(a b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a b))) 7. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 80752/6912246. ------ 1. ==[ start ]==> (((a (a a)) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 80753/6912273. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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. ------ 80754/6912291. ------ 1. ==[ start ]==> (((^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))) 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)) REDUCED to normal form. ------ 80755/6912300. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(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. ------ 80756/6912318. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b a)(^a.(^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. ------ 80757/6912354. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 80758/6912372. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 80759/6912381. ------ 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. ------ 80760/6912408. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 80761/6912615. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 80762/6912705. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)(^b.(^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. ------ 80763/6912786. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.(a a))(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 80764/6912813. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 80765/6912867. ------ 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)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80766/6912930. ------ 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 (^y.y)))) REDUCED to normal form. ------ 80767/6912957. ------ 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.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 80768/6912984. ------ 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. ------ 80769/6913011. ------ 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. ------ 80770/6913038. ------ 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)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((a a) a))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)((a a) a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a) a))) 9. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 80771/6913065. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (a a))(a b))) REDUCED to normal form. ------ 80772/6913092. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) 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. ------ 80773/6913182. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((b a)(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(^z.z))) IRREDUCIBLE: cycle. ------ 80774/6913245. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 80775/6913263. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b)(^z.(z z)))) 3. ==[ beta ]==> (b ((a b)(^z.(z z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(x x)))) REDUCED to normal form. ------ 80776/6913272. ------ 1. ==[ start ]==> (((a b) a)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 80777/6913290. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a) a)(^b.(^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. ------ 80778/6913299. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 80779/6913353. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 80780/6913371. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.(a a)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.(a a)))) REDUCED to normal form. ------ 80781/6913380. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 80782/6913407. ------ 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.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. ------ 80783/6913434. ------ 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. ------ 80784/6913452. ------ 1. ==[ start ]==> (((^a.b)(a a))((b a) a)) 2. ==[ alpha ]==> (((^x.b)(a a))((b a) a)) 3. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 80785/6913479. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 80786/6913650. ------ 1. ==[ start ]==> (((^a.b) b)((^b.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. ------ 80787/6913659. ------ 1. ==[ start ]==> (((a b)(a a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(c ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b)(a a))(c (a a))) REDUCED to normal form. ------ 80788/6913686. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 80789/6913776. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a)) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a)) c)) 5. ==[ beta ]==> ((^y.y)((^y1.(a a)) c)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 7. ==[ beta ]==> ((^y.(a a)) c) 8. ==[ alpha ]==> ((^x.(a a)) c) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 80790/6913920. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (^y.(a a)))) REDUCED to normal form. ------ 80791/6913947. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 80792/6913992. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 11. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 12. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 80793/6914001. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(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. ------ 80794/6914028. ------ 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 a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(a (^z.z)))) 7. ==[ beta ]==> (((^y.(a a))(a (^z.z)))((^y.(a a))(a (^z.z)))) 8. ==[ alpha ]==> (((^x.(a a))(a (^y.y)))((^z.(a a))(a (^x1.x1)))) 9. ==[ beta ]==> ((a a)((^z.(a a))(a (^x1.x1)))) 10. ==[ alpha ]==> ((a a)((^x.(a a))(a (^y.y)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 80795/6914055. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 80796/6914073. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((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. ------ 80797/6914082. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 80798/6914109. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 80799/6914298. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b)(^b.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. ------ 80800/6914532. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 80801/6914649. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (^z.b))) REDUCED to normal form. ------ 80802/6914676. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.b))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.(a a)))) REDUCED to normal form. ------ 80803/6914730. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^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. ------ 80804/6914757. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 80805/6914775. ------ 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) a)(^z.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 80806/6914784. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 80807/6914811. ------ 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 (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. ------ 80808/6914838. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 10. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 80809/6915117. ------ 1. ==[ start ]==> ((a (b a))(b (a b))) REDUCED to normal form. ------ 80810/6915207. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a) c)) 5. ==[ beta ]==> (b ((^z.a) c)) 6. ==[ alpha ]==> (b ((^x.a) c)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 80811/6915351. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.(a a)))) REDUCED to normal form. ------ 80812/6915396. ------ 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. ------ 80813/6915423. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 80814/6915459. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 80815/6915477. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)(^b.(^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. ------ 80816/6915486. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 80817/6915540. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 80818/6915558. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a b) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 80819/6915567. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 80820/6915594. ------ 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)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 80821/6915621. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 80822/6915684. ------ 1. ==[ start ]==> (((a a)(b a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(b a))(c (^y.y))) 4. ==[ alpha ]==> (((a a)(b a))(c (^x.x))) REDUCED to normal form. ------ 80823/6915711. ------ 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. ------ 80824/6915738. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^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))) 5. ==[ beta ]==> ((a (a a))(a (a b))) REDUCED to normal form. ------ 80825/6915765. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a) a)(a a))) REDUCED to normal form. ------ 80826/6915792. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.y)))) 9. ==[ beta ]==> (((a a) a)(a (^y.y))) 10. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 80827/6915819. ------ 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 a))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 80828/6915846. ------ 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. ------ 80829/6915873. ------ 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))((^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) 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. ------ 80830/6915900. ------ 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))) REDUCED to normal form. ------ 80831/6915963. ------ 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))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 80832/6916044. ------ 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 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. ------ 80833/6916125. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 80834/6916287. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^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. ------ 80835/6916350. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c (^y.(y y)))) REDUCED to normal form. ------ 80836/6916377. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (^b.(^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. ------ 80837/6916422. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.z1))) 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. ------ 80838/6916431. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^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. ------ 80839/6916458. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 80840/6916485. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 80841/6916530. ------ 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)(^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. ------ 80842/6916539. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 80843/6916557. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) 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. ------ 80844/6916656. ------ 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. ------ 80845/6916683. ------ 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. ------ 80846/6916710. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (a a))(a a))) REDUCED to normal form. ------ 80847/6916737. ------ 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. ------ 80848/6916764. ------ 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. ------ 80849/6916791. ------ 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)(^x.x)) a)((a a)(a (a a)))) REDUCED to normal form. ------ 80850/6916836. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 80851/6916872. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c c)) 2. ==[ alpha ]==> ((a ((^x.x) b))(c c)) 3. ==[ beta ]==> ((a b)(c c)) REDUCED to normal form. ------ 80852/6916881. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(^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)) REDUCED to normal form. ------ 80853/6916908. ------ 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 z1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z1.(z1 z1)))) 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. ------ 80854/6917043. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 80855/6917151. ------ 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) 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. ------ 80856/6917160. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 80857/6917187. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) 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)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 80858/6917205. ------ 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. ------ 80859/6917214. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z) 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. ------ 80860/6917232. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1) a) a)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 80861/6917241. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 80862/6917322. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.z))) 5. ==[ beta ]==> ((^y.(a a))(c (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(c (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 80863/6917349. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 80864/6917367. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y) c)) 3. ==[ beta ]==> (b ((^y.y) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 80865/6917376. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 80866/6917403. ------ 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))(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. ------ 80867/6917430. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.z))) REDUCED to normal form. ------ 80868/6917475. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((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. ------ 80869/6917484. ------ 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)(^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. ------ 80870/6917511. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b (^z.z))) 3. ==[ beta ]==> ((b (^y.y))(b (^z.z))) 4. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 80871/6917547. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b a)) 3. ==[ beta ]==> (((a a) b)(b a)) REDUCED to normal form. ------ 80872/6917574. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a b)) REDUCED to normal form. ------ 80873/6917601. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a (a a))) 3. ==[ beta ]==> ((a (b a))(a (a a))) REDUCED to normal form. ------ 80874/6917628. ------ 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. ------ 80875/6919017. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.(a (^z.(^x1.x1))))(^y.(a (^z.(^x1.x1)))))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(a (^y.(^z.z))))(^x1.(a (^y1.(^z1.z1)))))(^x2.(a (^y2.(^z2.z2))))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x2.(a (^y2.(^z2.z2))))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 80876/6924069. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a))) b) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x))) b) REDUCED to normal form. ------ 80877/6924093. ------ 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. ------ 80878/6924138. ------ 1. ==[ start ]==> ((^a.b)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(c (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 80879/6924174. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 80880/6924219. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((^z.z)(a a))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 80881/6924408. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ eta ]==> ((^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. ------ 80882/6924510. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 80883/6924678. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((^y.b)(^z.a))(((^y.b)(^z.a))((^y.b)(^z.a)))) 4. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.b)(^x1.a))((^y1.b)(^z1.a)))) 5. ==[ beta ]==> (b (((^z.b)(^x1.a))((^y1.b)(^z1.a)))) 6. ==[ alpha ]==> (b (((^x.b)(^y.a))((^z.b)(^x1.a)))) 7. ==[ beta ]==> (b (b ((^z.b)(^x1.a)))) 8. ==[ alpha ]==> (b (b ((^x.b)(^y.a)))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 80884/6924903. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 80885/6925461. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> ((((^x.x)(a (^y.(^z.z))))((^x1.x1)(a (^y1.(^z1.z1)))))((^x2.x2)(a (^y2.(^z2.z2))))) 5. ==[ beta ]==> (((a (^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1)))))((^x2.x2)(a (^y2.(^z2.z2))))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1)))))((^z1.z1)(a (^x2.(^y2.y2))))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^x1.(^y1.y1))))((^z1.z1)(a (^x2.(^y2.y2))))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(a (^z1.(^x2.x2))))) 9. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^z1.(^x2.x2)))) 10. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 80886/6925464. ------ 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. ------ 80887/6925794. ------ 1. ==[ start ]==> ((^a.(^a.b))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((b a)(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 80888/6926607. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.b)) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 80889/6927111. ------ 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 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. ------ 80890/6927243. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(^y1.(^z1.z1)))((^z.(^x1.x1))(^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2))))(^z2.z2)) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2))))(^z2.z2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))(^z1.z1)) 8. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 80891/6927813. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 80892/6927999. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^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. ------ 80893/6928425. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 80894/6928623. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.y))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.y))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.x))) REDUCED to normal form. ------ 80895/6929145. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 80896/6929568. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(^b.(^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. ------ 80897/6929754. ------ 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. ------ 80898/6929928. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(z (z z)))) 3. ==[ beta ]==> (b (^z.(z (z z)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 80899/6930099. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 80900/6930252. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(a (^z.z)))) 3. ==[ beta ]==> (b (^y.(a (^z.z)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 80901/6930261. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.c)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.c)) REDUCED to normal form. ------ 80902/6930432. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.(^a.(^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. ------ 80903/6930459. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(a a))) REDUCED to normal form. ------ 80904/6930486. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.z))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 80905/6930513. ------ 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. ------ 80906/6930543. ------ 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. ------ 80907/6930570. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 80908/6930588. ------ 1. ==[ start ]==> ((a b)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 80909/6930597. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 80910/6930624. ------ 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 (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 80911/6930660. ------ 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)(((^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. ------ 80912/6930669. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a a))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 80913/6930687. ------ 1. ==[ start ]==> (((a a) b)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 80914/6930714. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a)(^y.a))) REDUCED to normal form. ------ 80915/6930741. ------ 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.(x1 x1)))) REDUCED to normal form. ------ 80916/6930768. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 80917/6930804. ------ 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. ------ 80918/6930822. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 80919/6930858. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 80920/6930930. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^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))))) REDUCED to normal form. ------ 80921/6930957. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 80922/6930984. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 80923/6931011. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 80924/6931101. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a))(^b.(^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 a)) REDUCED to normal form. ------ 80925/6931128. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.a))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 80926/6931272. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (a (^a.(^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. ------ 80927/6931308. ------ 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)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 80928/6931326. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 80929/6931335. ------ 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. ------ 80930/6931353. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 80931/6931488. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80932/6931515. ------ 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.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. ------ 80933/6931569. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(b a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(b a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 7. ==[ beta ]==> ((a (^y.y))(b a)) 8. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 80934/6931632. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 80935/6931659. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 80936/6931686. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a))(^b.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. ------ 80937/6931713. ------ 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.(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. ------ 80938/6931740. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 80939/6931803. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))(a 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. ------ 80940/6931830. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(a a)))) 9. ==[ beta ]==> ((a a)((a a)((^y.y)(a a)))) 10. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 11. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 80941/6931857. ------ 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. ------ 80942/6931884. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^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. ------ 80943/6931911. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(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. ------ 80944/6932226. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.(^x1.x1))) 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. ------ 80945/6932244. ------ 1. ==[ start ]==> ((a (^a.b))((b a)(a a))) 2. ==[ alpha ]==> ((a (^x.b))((b a)(a a))) REDUCED to normal form. ------ 80946/6932433. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 80947/6932577. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a))(^b.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. ------ 80948/6932604. ------ 1. ==[ start ]==> (((a b) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 80949/6932631. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 80950/6932685. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 80951/6932712. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 80952/6932739. ------ 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 REDUCED to normal form. ------ 80953/6932793. ------ 1. ==[ start ]==> (((a b)(^a.a))((b a) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((b a) a)) REDUCED to normal form. ------ 80954/6932829. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a))(^a.(^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. ------ 80955/6932856. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(a a))(^b.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. ------ 80956/6932883. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 80957/6932937. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.a))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 80958/6932964. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.b)(^z.b))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)(^z.b))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 80959/6932991. ------ 1. ==[ start ]==> (((a b)(a a))((^b.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. ------ 80960/6933027. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.(a a))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.(a a))(b ((a a)(^y.y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 80961/6933054. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 80962/6933108. ------ 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 a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 8. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 9. ==[ beta ]==> ((a a)(a (^y.y))) 10. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 80963/6933189. ------ 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)(^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. ------ 80964/6933243. ------ 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))) 7. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 80965/6933270. ------ 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.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. ------ 80966/6933333. ------ 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.z))(^x1.x1))) REDUCED to normal form. ------ 80967/6933360. ------ 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)(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. ------ 80968/6933387. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 80969/6933414. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 80970/6933441. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 80971/6933477. ------ 1. ==[ start ]==> (((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) 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. ------ 80972/6933504. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.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. ------ 80973/6933531. ------ 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.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. ------ 80974/6933558. ------ 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))(^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. ------ 80975/6933612. ------ 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 a)) REDUCED to normal form. ------ 80976/6933630. ------ 1. ==[ start ]==> (((^a.b) c)((a b) c)) 2. ==[ alpha ]==> (((^x.b) c)((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 80977/6933639. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 80978/6933693. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))(^b.(^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. ------ 80979/6933864. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 80980/6933873. ------ 1. ==[ start ]==> (((a b) c)((^a.b) c)) 2. ==[ alpha ]==> (((a b) c)((^x.b) c)) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 80981/6933900. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 80982/6933945. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))((^z.z)(^x1.x1)))) 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. ------ 80983/6933972. ------ 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)(((^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. ------ 80984/6934026. ------ 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.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 80985/6934062. ------ 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.y1)(a a))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 80986/6934089. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 80987/6934116. ------ 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. ------ 80988/6934143. ------ 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.(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. ------ 80989/6934170. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 80990/6934206. ------ 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. ------ 80991/6934233. ------ 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.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. ------ 80992/6934260. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 80993/6934287. ------ 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))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 80994/6934314. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b)(^a.(^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. ------ 80995/6934368. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^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. ------ 80996/6934395. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 8. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 80997/6934422. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 80998/6934449. ------ 1. ==[ start ]==> ((a (b a))((^a.(^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. ------ 80999/6934539. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> (b (((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 81000/6934620. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^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. ------ 81001/6934791. ------ 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.(z z)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 81002/6934818. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)(^b.(^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. ------ 81003/6934872. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 81004/6934899. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a b) a)) REDUCED to normal form. ------ 81005/6934926. ------ 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. ------ 81006/6935016. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 81007/6935070. ------ 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))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.b))) 7. ==[ beta ]==> ((a (a a))(^y.b)) 8. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 81008/6935232. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (^z.a))) REDUCED to normal form. ------ 81009/6935277. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 81010/6935565. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 81011/6935592. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a ((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 81012/6935619. ------ 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)(((^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. ------ 81013/6935673. ------ 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.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^z.z) a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> (((a a)(a a))(a ((^y.y) a))) 10. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) a))) 11. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 81014/6935763. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 81015/6935790. ------ 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.(^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. ------ 81016/6935817. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.a))) REDUCED to normal form. ------ 81017/6935871. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 81018/6935907. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(^a.a))(^a.a))) 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. ------ 81019/6935934. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 81020/6935961. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 81021/6935988. ------ 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 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)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 81022/6936015. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 81023/6936123. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b (^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.(y y)))) REDUCED to normal form. ------ 81024/6936168. ------ 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. ------ 81025/6936177. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a a)(a a))) REDUCED to normal form. ------ 81026/6936204. ------ 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)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 81027/6936213. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c c)) 3. ==[ beta ]==> ((^y.y)(c c)) 4. ==[ alpha ]==> ((^x.x)(c c)) 5. ==[ beta ]==> (c c) REDUCED to normal form. ------ 81028/6936375. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 81029/6936492. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a)(^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. ------ 81030/6936519. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))(^a.(^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)))) REDUCED to normal form. ------ 81031/6936537. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b c)) 3. ==[ beta ]==> (((^y.y) b)(b c)) 4. ==[ alpha ]==> (((^x.x) b)(b c)) 5. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 81032/6936546. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 81033/6936573. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1) a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 81034/6936618. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b (a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 81035/6936654. ------ 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. ------ 81036/6936681. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 81037/6936699. ------ 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. ------ 81038/6936708. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y) c)) 3. ==[ beta ]==> (((a b)(^x.a)) c) REDUCED to normal form. ------ 81039/6936735. ------ 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))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 81040/6936762. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 81041/6936807. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 81042/6936816. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a) b)) REDUCED to normal form. ------ 81043/6936843. ------ 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 (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 81044/6936879. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a (^a.(^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. ------ 81045/6936906. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 81046/6936933. ------ 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. ------ 81047/6936960. ------ 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. ------ 81048/6942336. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.((^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. ------ 81049/6943524. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 81050/6943536. ------ 1. ==[ start ]==> (((^a.a) b)(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 81051/6943569. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> ((((^z.z) b)(^x1.x1))(^y.y)) 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. ------ 81052/6943686. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 81053/6943758. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ eta ]==> ((^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. ------ 81054/6943878. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(a (^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 81055/6943929. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.(^a.a)))(^a.(^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. ------ 81056/6944211. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 81057/6944526. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(^b.b))) 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. ------ 81058/6944811. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a)(^y.(^z.(^x1.x1))))((a a)(^y.(^z.(^x1.x1)))))((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a)(^x.(^y.(^z.z))))((a a)(^x1.(^y1.(^z1.z1)))))((a a)(^x2.(^y2.(^z2.z2))))) REDUCED to normal form. ------ 81059/6945129. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 81060/6945417. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) IRREDUCIBLE: cycle. ------ 81061/6945687. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(y a))) 3. ==[ beta ]==> (b (^y.(y a))) 4. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 81062/6947163. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 81063/6947586. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(a b))) REDUCED to normal form. ------ 81064/6947793. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(a y))) 3. ==[ eta ]==> (((^x.b)(a (a a))) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 81065/6947898. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 81066/6948186. ------ 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 ]==> ((((a a) a)(^x1.x1))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 81067/6948495. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 81068/6948504. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.((x1 x1) x1))) REDUCED to normal form. ------ 81069/6948657. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (b (^x1.(^y1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 81070/6948789. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81071/6948792. ------ 1. ==[ start ]==> ((a (^b.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 81072/6949104. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 81073/6949278. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 81074/6949386. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 81075/6949467. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) 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. ------ 81076/6949557. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(a a)))(^y1.y1)) 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 a) REDUCED to normal form. ------ 81077/6949611. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 81078/6949746. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 81079/6949782. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.y)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 81080/6949836. ------ 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. ------ 81081/6949863. ------ 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. ------ 81082/6949911. ------ 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. ------ 81083/6949938. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a a) a)(a (b a))) REDUCED to normal form. ------ 81084/6949965. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 81085/6949983. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 81086/6949992. ------ 1. ==[ start ]==> (((^a.a) b)((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 81087/6950028. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((a (a (^x.x)))(b (^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 81088/6950037. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 81089/6950064. ------ 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 (^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. ------ 81090/6950145. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 81091/6950163. ------ 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. ------ 81092/6950190. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)(^y.b))) REDUCED to normal form. ------ 81093/6950217. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 81094/6950226. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 81095/6950253. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((a a)(^z1.z1)))) 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. ------ 81096/6950307. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 81097/6950334. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 81098/6950388. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.(^a.a)))(^a.(^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. ------ 81099/6950406. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a) c)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b a) c)) 3. ==[ beta ]==> (((a a) a)((b a) c)) REDUCED to normal form. ------ 81100/6950496. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.a))) 5. ==[ beta ]==> (((^y.b)(^z.a))((^y.b)(^z.a))) 6. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.a))) 7. ==[ beta ]==> (b ((^z.b)(^x1.a))) 8. ==[ alpha ]==> (b ((^x.b)(^y.a))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 81101/6950523. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 81102/6950631. ------ 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))(^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. ------ 81103/6950640. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 81104/6950667. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(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. ------ 81105/6950694. ------ 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. ------ 81106/6950802. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b b)((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b b)((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b b)((a b)(^y.y))) 6. ==[ alpha ]==> ((b b)((a b)(^x.x))) REDUCED to normal form. ------ 81107/6950937. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(b a))) REDUCED to normal form. ------ 81108/6950964. ------ 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 ]==> (((^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. ------ 81109/6950982. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^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. ------ 81110/6951009. ------ 1. ==[ start ]==> (((^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))) 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. ------ 81111/6951162. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^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. ------ 81112/6951189. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 81113/6951270. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 81114/6951306. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.y2))) 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. ------ 81115/6951360. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a))(^b.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. ------ 81116/6951468. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.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. ------ 81117/6951522. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 81118/6951531. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 81119/6951558. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b (b a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81120/6951585. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 81121/6951774. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.b) a)((a (a a))(a b))) 3. ==[ beta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 81122/6951873. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.(^x1.(^y1.y1))))) IRREDUCIBLE: cycle. ------ 81123/6951954. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 81124/6951981. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.b)(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.b)(a (a a)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 81125/6952062. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(a b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(a b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a b)(a b))) REDUCED to normal form. ------ 81126/6952143. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^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. ------ 81127/6952188. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 81128/6952386. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^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. ------ 81129/6952557. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) b)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b) b)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b) b)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a b) b)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a b) b)(^y.y)) 8. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 81130/6952584. ------ 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. ------ 81131/6952611. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (a b))) REDUCED to normal form. ------ 81132/6952629. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 81133/6952638. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a (^z.z))(a a))) REDUCED to normal form. ------ 81134/6952764. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 81135/6952863. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.b))) REDUCED to normal form. ------ 81136/6952890. ------ 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.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 81137/6952944. ------ 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.z)) a)) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y)) a)) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y)) a)) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 81138/6952971. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((((a a) a) a)((a a) b)) REDUCED to normal form. ------ 81139/6952998. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b) c)) REDUCED to normal form. ------ 81140/6953088. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.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. ------ 81141/6953232. ------ 1. ==[ start ]==> (((a b) c)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a b)(a (^x.x)))) REDUCED to normal form. ------ 81142/6953259. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 81143/6953286. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a a))) REDUCED to normal form. ------ 81144/6953340. ------ 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))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a ((a a) a))) REDUCED to normal form. ------ 81145/6953367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(a b))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(a b))) REDUCED to normal form. ------ 81146/6953385. ------ 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) a))(b (^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.(a a)))) REDUCED to normal form. ------ 81147/6953466. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 81148/6953592. ------ 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.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 81149/6953619. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 81150/6953646. ------ 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. ------ 81151/6953673. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b) b)) 7. ==[ beta ]==> ((^y.y)((a b) b)) 8. ==[ alpha ]==> ((^x.x)((a b) b)) 9. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 81152/6954042. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(a b))) REDUCED to normal form. ------ 81153/6954087. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.b)(a a))) 3. ==[ beta ]==> ((b a)((^y.b)(a a))) 4. ==[ alpha ]==> ((b a)((^x.b)(a a))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 81154/6954168. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (((a b)(a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 81155/6954249. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^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. ------ 81156/6954357. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.(y1 y1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 81157/6954456. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.b) a)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.b) a)) 3. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 81158/6954510. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 81159/6954645. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)(^z.z))) REDUCED to normal form. ------ 81160/6954735. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((a a)((^z.a)(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.a)(a (a a)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 81161/6954816. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 81162/6954924. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 81163/6954933. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.z))) REDUCED to normal form. ------ 81164/6954960. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a ((a a) a))) REDUCED to normal form. ------ 81165/6955041. ------ 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) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 81166/6955068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))(a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 81167/6955113. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (b (a (^x1.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 81168/6955221. ------ 1. ==[ start ]==> (((^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 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. ------ 81169/6955248. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^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. ------ 81170/6955266. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(^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. ------ 81171/6955293. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a)) b)) REDUCED to normal form. ------ 81172/6955401. ------ 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. ------ 81173/6955428. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z)) b)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y)) b)) 5. ==[ beta ]==> (((a b)(^x.x))(b b)) REDUCED to normal form. ------ 81174/6955455. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.a) c)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.a) c)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.a) c)) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 81175/6955536. ------ 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. ------ 81176/6955563. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 81177/6955572. ------ 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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 81178/6955599. ------ 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.(^x2.x2))((^y2.y2) a))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))((^y2.y2) 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. ------ 81179/6955734. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 81180/6955842. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 81181/6955878. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c b)) 2. ==[ alpha ]==> ((((^x.x) b) a)(c b)) 3. ==[ beta ]==> ((b a)(c b)) REDUCED to normal form. ------ 81182/6955896. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 81183/6955905. ------ 1. ==[ start ]==> (((a a)(^b.b))(b c)) 2. ==[ alpha ]==> (((a a)(^x.x))(b c)) REDUCED to normal form. ------ 81184/6955923. ------ 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)((^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. ------ 81185/6955977. ------ 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.(^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. ------ 81186/6956013. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a ((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))(a ((^z.z) a))) 6. ==[ alpha ]==> ((^x.(a a))(a ((^y.y) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 81187/6956040. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(a a))) REDUCED to normal form. ------ 81188/6956058. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 81189/6956067. ------ 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. ------ 81190/6956094. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c a)) REDUCED to normal form. ------ 81191/6956121. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b b)) REDUCED to normal form. ------ 81192/6956166. ------ 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))(^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. ------ 81193/6956175. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (a a))) REDUCED to normal form. ------ 81194/6956202. ------ 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)))) REDUCED to normal form. ------ 81195/6956238. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y) b)) 3. ==[ beta ]==> (((a a) b)((^y.y) b)) 4. ==[ alpha ]==> (((a a) b)((^x.x) b)) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 81196/6956265. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 81197/6956292. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a a) a)) 3. ==[ beta ]==> ((a (b a))((a a) a)) REDUCED to normal form. ------ 81198/6956319. ------ 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. ------ 81199/6956345. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((^x1.x1)(x x)))) 3. ==[ beta ]==> (^x.((^z.z)((^x1.x1)(x x)))) 4. ==[ alpha ]==> (^x.((^y.y)((^z.z)(x x)))) 5. ==[ beta ]==> (^x.((^z.z)(x x))) 6. ==[ alpha ]==> (^x.((^y.y)(x x))) 7. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 81200/6956346. ------ 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 ((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (a ((^x.x)((^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. ------ 81201/6961704. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81202/6962805. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(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. ------ 81203/6962811. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^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. ------ 81204/6962838. ------ 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. ------ 81205/6962865. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 81206/6963063. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^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 ]==> (^x.((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 81207/6963264. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 81208/6963306. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 81209/6963588. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(^b.b))) 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. ------ 81210/6963630. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 81211/6963756. ------ 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. ------ 81212/6963912. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 81213/6964506. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 81214/6964521. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 81215/6964701. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.(x b))((a (a a))(a b))) 3. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 81216/6965064. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 81217/6965073. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(b a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(y a))) REDUCED to normal form. ------ 81218/6965088. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((b a) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((b a) a)) 3. ==[ beta ]==> (^y.(((b a) a)((b a) a))) 4. ==[ alpha ]==> (^x.(((b a) a)((b a) a))) REDUCED to normal form. ------ 81219/6966342. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(^c.(^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. ------ 81220/6966726. ------ 1. ==[ start ]==> ((^a.(b a))(c ((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))(c ((a a) a))) 3. ==[ eta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 81221/6967170. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 81222/6967179. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(a y))) 3. ==[ eta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 81223/6967377. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(a b))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(x b))) REDUCED to normal form. ------ 81224/6967557. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81225/6967881. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.a))) REDUCED to normal form. ------ 81226/6968043. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 81227/6968166. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81228/6968169. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 81229/6968322. ------ 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. ------ 81230/6968448. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(^b.(^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. ------ 81231/6968655. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.d)) 3. ==[ beta ]==> (b (^z.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 81232/6968772. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 81233/6968853. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.a)) REDUCED to normal form. ------ 81234/6968934. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 81235/6968988. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 81236/6969015. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.(^b.a))) 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. ------ 81237/6969123. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.(^a.(^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. ------ 81238/6969159. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(a a))) 3. ==[ beta ]==> (((a a) b)(^y.(a a))) 4. ==[ alpha ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 81239/6969213. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.b)) 3. ==[ beta ]==> ((a (b a))(^y.b)) 4. ==[ alpha ]==> ((a (b a))(^x.b)) REDUCED to normal form. ------ 81240/6969240. ------ 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. ------ 81241/6969267. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 81242/6969279. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^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)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 81243/6969306. ------ 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. ------ 81244/6969333. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(b a))) 3. ==[ beta ]==> ((a b)(a (b a))) REDUCED to normal form. ------ 81245/6969378. ------ 1. ==[ start ]==> (((^a.a) b)(b (^b.b))) 2. ==[ alpha ]==> (((^x.x) b)(b (^y.y))) 3. ==[ beta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 81246/6969387. ------ 1. ==[ start ]==> (((a a)(a a))((a a)((^a.a) 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. ------ 81247/6969423. ------ 1. ==[ start ]==> (((^a.a)(^a.(^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. ------ 81248/6969432. ------ 1. ==[ start ]==> (((a a) b)((^b.b)(a a))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(a a))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 81249/6969450. ------ 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.(^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. ------ 81250/6969459. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 81251/6969477. ------ 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))) REDUCED to normal form. ------ 81252/6969504. ------ 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)(((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. ------ 81253/6969531. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 81254/6969567. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 81255/6969612. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 81256/6969648. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 81257/6969675. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(b a))) 3. ==[ beta ]==> ((a a)((^y.a)(b a))) 4. ==[ alpha ]==> ((a a)((^x.a)(b a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 81258/6969693. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)((a (^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. ------ 81259/6969702. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 81260/6969720. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 81261/6969729. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 81262/6969756. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^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. ------ 81263/6969774. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 81264/6969864. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 81265/6969945. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 81266/6970026. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^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. ------ 81267/6970053. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(^b.b))) 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))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 81268/6970071. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 81269/6970098. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 81270/6970116. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((b a)(a (^x.x)))) REDUCED to normal form. ------ 81271/6970143. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 81272/6970170. ------ 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. ------ 81273/6970197. ------ 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. ------ 81274/6970224. ------ 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. ------ 81275/6970323. ------ 1. ==[ start ]==> (((a (a a)) b)(c (^d.a))) 2. ==[ alpha ]==> (((a (a a)) b)(c (^x.a))) REDUCED to normal form. ------ 81276/6970350. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (^a.(^a.(^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. ------ 81277/6970377. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 81278/6970395. ------ 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)((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)) REDUCED to normal form. ------ 81279/6970404. ------ 1. ==[ start ]==> (((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))) 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. ------ 81280/6970449. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 81281/6970485. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(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. ------ 81282/6970692. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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) REDUCED to normal form. ------ 81283/6970746. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(^z.z)) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(^z.z)) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(^z.z)) c)) 5. ==[ beta ]==> (a (((a a)(^z.z)) c)) 6. ==[ alpha ]==> (a (((a a)(^x.x)) c)) REDUCED to normal form. ------ 81284/6970782. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.(a a))(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 81285/6970809. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 81286/6970863. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 81287/6970890. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 81288/6970917. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.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. ------ 81289/6970971. ------ 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)(^x.x))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 81290/6970989. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 81291/6971007. ------ 1. ==[ start ]==> (((a a)((a a) a))((b a)(a a))) REDUCED to normal form. ------ 81292/6971034. ------ 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)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 81293/6971061. ------ 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.z) a))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a 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. ------ 81294/6971088. ------ 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. ------ 81295/6971115. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(((a a) a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 81296/6971142. ------ 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. ------ 81297/6971169. ------ 1. ==[ start ]==> ((a (a b))((a (a a))(a b))) REDUCED to normal form. ------ 81298/6971322. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 81299/6971340. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a))(^b.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. ------ 81300/6971349. ------ 1. ==[ start ]==> (((a b) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 81301/6971367. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a b)(^y.(y y)))) 3. ==[ beta ]==> ((a b)((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((a b)((a b)(^x.(x x)))) REDUCED to normal form. ------ 81302/6971376. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 81303/6971394. ------ 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) 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. ------ 81304/6971430. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 81305/6971448. ------ 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. ------ 81306/6971457. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a b)(a b))) REDUCED to normal form. ------ 81307/6971484. ------ 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.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. ------ 81308/6971511. ------ 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. ------ 81309/6971538. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(b a))) 3. ==[ beta ]==> (((a b)(^x.x))(b a)) REDUCED to normal form. ------ 81310/6971556. ------ 1. ==[ start ]==> ((a (^b.(a a)))((b a) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((b a) a)) REDUCED to normal form. ------ 81311/6971727. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))(^z.b))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.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. ------ 81312/6971853. ------ 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 ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81313/6972024. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (^z.(a a)))) REDUCED to normal form. ------ 81314/6972132. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 81315/6972150. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b)(^b.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. ------ 81316/6972159. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 81317/6972375. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a))(^a.(^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. ------ 81318/6972609. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 81319/6972753. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (^z.b))) 3. ==[ beta ]==> ((a (^y.b))(c (^z.b))) 4. ==[ alpha ]==> ((a (^x.b))(c (^y.b))) REDUCED to normal form. ------ 81320/6972807. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (^c.(^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. ------ 81321/6972834. ------ 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))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 81322/6972852. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a b)(^a.(^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. ------ 81323/6972861. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 81324/6972915. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(a (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. ------ 81325/6973194. ------ 1. ==[ start ]==> ((a (b a))(c ((a a) a))) REDUCED to normal form. ------ 81326/6973284. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b) b)) 5. ==[ beta ]==> (b ((^z.b) b)) 6. ==[ alpha ]==> (b ((^x.b) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 81327/6973428. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (^y.b))) REDUCED to normal form. ------ 81328/6973473. ------ 1. ==[ start ]==> (((^a.a)(b a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a b)(^y.y))) 3. ==[ beta ]==> ((b a)((a b)(^y.y))) 4. ==[ alpha ]==> ((b a)((a b)(^x.x))) REDUCED to normal form. ------ 81329/6973500. ------ 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. ------ 81330/6973536. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^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. ------ 81331/6973554. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a b))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 81332/6973563. ------ 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. ------ 81333/6973617. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^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. ------ 81334/6973635. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)(^y.b))) 3. ==[ beta ]==> (b ((a a)(^y.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 81335/6973644. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(a b))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a b)) REDUCED to normal form. ------ 81336/6973671. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 81337/6973815. ------ 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. ------ 81338/6973842. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (a b))) REDUCED to normal form. ------ 81339/6973869. ------ 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. ------ 81340/6973896. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 81341/6973923. ------ 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. ------ 81342/6973950. ------ 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)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(a (a a)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a (a a)))) 7. ==[ beta ]==> (((a a) a)(a (a (a a)))) REDUCED to normal form. ------ 81343/6973977. ------ 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))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 81344/6974022. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a (^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81345/6974040. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.x1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 81346/6974121. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(y y)))) 7. ==[ beta ]==> ((a a)(a (^y.(y y)))) 8. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 81347/6974202. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 81348/6974319. ------ 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)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 81349/6974364. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a) a)) 3. ==[ beta ]==> ((^y.y)((^z.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. ------ 81350/6974454. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(c (^z.(z z)))) 6. ==[ alpha ]==> ((^x.b)(c (^y.(y y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 81351/6974508. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 81352/6974535. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 81353/6974562. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 81354/6974607. ------ 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))((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. ------ 81355/6974616. ------ 1. ==[ start ]==> (((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 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. ------ 81356/6974634. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 81357/6974760. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(b (a (a a)))) 5. ==[ beta ]==> ((a b)(b (a (a a)))) REDUCED to normal form. ------ 81358/6974787. ------ 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. ------ 81359/6974814. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^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))) REDUCED to normal form. ------ 81360/6974841. ------ 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. ------ 81361/6974868. ------ 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)) 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. ------ 81362/6974913. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 81363/6974958. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 81364/6974985. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))(^x2.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. ------ 81365/6975120. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a) d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a) d)) 3. ==[ beta ]==> (b ((a a) d)) REDUCED to normal form. ------ 81366/6975237. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.(z z)))) REDUCED to normal form. ------ 81367/6975264. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(a a))) 3. ==[ beta ]==> ((b a)((^y.a)(a a))) 4. ==[ alpha ]==> ((b a)((^x.a)(a a))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 81368/6975282. ------ 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)))) REDUCED to normal form. ------ 81369/6975291. ------ 1. ==[ start ]==> (((a a)(^b.b))((^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)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 81370/6975309. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.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. ------ 81371/6975318. ------ 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)((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 81372/6975363. ------ 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)(^y.y))((a a)(^y.y)))((a (^z.z)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 81373/6975399. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 81374/6975426. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c (^y.y))) REDUCED to normal form. ------ 81375/6975444. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (b ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 81376/6975453. ------ 1. ==[ start ]==> (((a b)(^c.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 81377/6975480. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 81378/6975507. ------ 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))(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. ------ 81379/6975552. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81380/6975561. ------ 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))(^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. ------ 81381/6975588. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a)(^a.(^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. ------ 81382/6975624. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a)(a a))) 3. ==[ beta ]==> (((a a) b)((a a)(a a))) REDUCED to normal form. ------ 81383/6975651. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b a)) REDUCED to normal form. ------ 81384/6975678. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a b)) 3. ==[ beta ]==> ((a (b a))(a b)) REDUCED to normal form. ------ 81385/6975705. ------ 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. ------ 81386/6975732. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 81387/6977454. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(a (^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. ------ 81388/6980496. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^x1.(^y1.b))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 81389/6982200. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 81390/6982224. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81391/6982305. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 81392/6982809. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^z.(^x1.x1)))(((^y.(a a))(^z.(^x1.x1)))((^y.(a a))(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(^z.z)))(((^x1.(a a))(^y1.(^z1.z1)))((^x2.(a a))(^y2.(^z2.z2))))) 5. ==[ beta ]==> ((a a)(((^x1.(a a))(^y1.(^z1.z1)))((^x2.(a a))(^y2.(^z2.z2))))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a a)((a a)((^x1.(a a))(^y1.(^z1.z1))))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a))(^y.(^z.z))))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 81393/6983010. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 81394/6983034. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 81395/6983592. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^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. ------ 81396/6983925. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 81397/6983928. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 81398/6984477. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(^d.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 81399/6984699. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(^x1.(a a)))((^z.a)(^x1.(a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(^z.(a a)))((^x1.a)(^y1.(a a))))) 5. ==[ beta ]==> (((^y.a)(^z.(a a)))((^x1.a)(^y1.(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. ------ 81400/6985269. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 81401/6985971. ------ 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))(^x.(a a))) REDUCED to normal form. ------ 81402/6986130. ------ 1. ==[ start ]==> ((^a.(b a))((^b.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. ------ 81403/6986583. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.b))) REDUCED to normal form. ------ 81404/6986781. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.x))) REDUCED to normal form. ------ 81405/6986967. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (^x1.b))) 3. ==[ beta ]==> ((a (^x1.b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 81406/6986970. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.b))) REDUCED to normal form. ------ 81407/6987303. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 81408/6987438. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 81409/6987591. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 81410/6987726. ------ 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. ------ 81411/6987861. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 81412/6987885. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 81413/6988059. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.((^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 (^x.a)) REDUCED to normal form. ------ 81414/6988338. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.c)) 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)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 81415/6988419. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 81416/6988527. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.b)) 3. ==[ beta ]==> ((b (^y.y))(^z.b)) 4. ==[ alpha ]==> ((b (^x.x))(^y.b)) REDUCED to normal form. ------ 81417/6988590. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 81418/6988617. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(a a))) 3. ==[ beta ]==> ((a (b a))(^y.(a a))) 4. ==[ alpha ]==> ((a (b a))(^x.(a a))) REDUCED to normal form. ------ 81419/6988644. ------ 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. ------ 81420/6988671. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 81421/6988701. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.x))((^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. ------ 81422/6988728. ------ 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. ------ 81423/6988755. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(b a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(b a))) 5. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 81424/6988782. ------ 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))))) REDUCED to normal form. ------ 81425/6988800. ------ 1. ==[ start ]==> (((a a)(a a))(b (^b.b))) 2. ==[ alpha ]==> (((a a)(a a))(b (^x.x))) REDUCED to normal form. ------ 81426/6988845. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) b)(^y.y))) 3. ==[ beta ]==> (((a a) b)(b (^y.y))) 4. ==[ alpha ]==> (((a a) b)(b (^x.x))) REDUCED to normal form. ------ 81427/6988872. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 81428/6988899. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 81429/6988926. ------ 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))(^x1.(x1 x1)))) REDUCED to normal form. ------ 81430/6988962. ------ 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. ------ 81431/6988980. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 81432/6988989. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 81433/6989061. ------ 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. ------ 81434/6989115. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 81435/6989142. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 81436/6989169. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) b) a)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b) a)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) a)) 5. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 81437/6989205. ------ 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) 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. ------ 81438/6989286. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 81439/6989484. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 81440/6989493. ------ 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. ------ 81441/6989511. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 81442/6989646. ------ 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. ------ 81443/6989673. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 81444/6989727. ------ 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) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 7. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 8. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 81445/6989781. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(a (^x1.(^y1.y1))))) 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. ------ 81446/6989817. ------ 1. ==[ start ]==> (((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))) REDUCED to normal form. ------ 81447/6989844. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a)(^a.(^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. ------ 81448/6989871. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 81449/6989898. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 9. ==[ beta ]==> ((a a)(^y.(y y))) 10. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 81450/6989934. ------ 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)(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 81451/6989988. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(a b))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 81452/6990015. ------ 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. ------ 81453/6990042. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.a)((a a)(^y.y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 81454/6990069. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^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. ------ 81455/6990402. ------ 1. ==[ start ]==> ((a (^a.b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 81456/6990591. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.b)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.b)((a (a a))(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 81457/6990672. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(b a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)(b a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(b a))) IRREDUCIBLE: cycle. ------ 81458/6990735. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 81459/6990762. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a))(^b.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. ------ 81460/6990789. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)(^y.(y y)))) REDUCED to normal form. ------ 81461/6990843. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 81462/6990870. ------ 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. ------ 81463/6990897. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 81464/6991041. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(a a))(^b.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. ------ 81465/6991068. ------ 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. ------ 81466/6991122. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))(^c.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. ------ 81467/6991149. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a b)(a a))((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a b)(a a))((^x.b)(^y.b))) 5. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 81468/6991176. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 81469/6991185. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.(a a))(c ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(c ((^y.y)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 81470/6991212. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 81471/6991266. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(a a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(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)) REDUCED to normal form. ------ 81472/6991347. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 81473/6991401. ------ 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. ------ 81474/6991428. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 81475/6991482. ------ 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)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)((a a)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)((a a)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)((a a)(^x1.x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((a a)(^z.z)))) 9. ==[ beta ]==> ((^y.y)((a a)((a a)(^z.z)))) 10. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 11. ==[ beta ]==> ((a a)((a a)(^y.y))) 12. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 81476/6991518. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.z))) 7. ==[ beta ]==> ((((a a)(^y.y))(^z.z))(((a a)(^y.y))(^z.z))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 81477/6991545. ------ 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. ------ 81478/6991572. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 81479/6991599. ------ 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.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 81480/6991635. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 81481/6991662. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 81482/6991689. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)(a b))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)(a b))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)(a b))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 81483/6991716. ------ 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.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. ------ 81484/6991743. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^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. ------ 81485/6991788. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 81486/6991797. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(a a))(^a.(^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. ------ 81487/6991824. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b)(^b.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. ------ 81488/6992022. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 81489/6992031. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b) c)((^x.(a a)) b)) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 81490/6992058. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 81491/6992103. ------ 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)(^x.x))((^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. ------ 81492/6992130. ------ 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)(^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. ------ 81493/6992184. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(a b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(a b))) REDUCED to normal form. ------ 81494/6992247. ------ 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))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 81495/6992274. ------ 1. ==[ start ]==> (((a b)(^b.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 81496/6992301. ------ 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. ------ 81497/6992328. ------ 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 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 81498/6992364. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)((a a)(^x.x)))((^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. ------ 81499/6992391. ------ 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)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 81500/6992418. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^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. ------ 81501/6992445. ------ 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. ------ 81502/6992472. ------ 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 a))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 9. ==[ beta ]==> ((^y.(a a))(^z.z)) 10. ==[ alpha ]==> ((^x.(a a))(^y.y)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 81503/6992499. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.b)(^a.(^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. ------ 81504/6992526. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a)(^b.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. ------ 81505/6992553. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 81506/6992580. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 81507/6992607. ------ 1. ==[ start ]==> ((a (b a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 81508/6992697. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a b)(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a b)(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a b)(a a))) 5. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 81509/6992778. ------ 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. ------ 81510/6992949. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a (^x.(a a)))(^z.a)) 8. ==[ alpha ]==> ((a (^x.(a a)))(^y.a)) REDUCED to normal form. ------ 81511/6992976. ------ 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. ------ 81512/6993030. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 81513/6993057. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.b))) REDUCED to normal form. ------ 81514/6993084. ------ 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. ------ 81515/6993111. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a) b)) REDUCED to normal form. ------ 81516/6993174. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(b a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(b a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 81517/6993201. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)(^b.(^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. ------ 81518/6993255. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.b))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.b)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.b)) REDUCED to normal form. ------ 81519/6993444. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.b))) REDUCED to normal form. ------ 81520/6993750. ------ 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)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 81521/6993777. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 81522/6993831. ------ 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. ------ 81523/6993840. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(y y)) c)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(c c)) REDUCED to normal form. ------ 81524/6993912. ------ 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)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 81525/6993948. ------ 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)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 81526/6993975. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 81527/6994029. ------ 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 y1)))) REDUCED to normal form. ------ 81528/6994065. ------ 1. ==[ start ]==> (((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)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 81529/6994092. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^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. ------ 81530/6994119. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 81531/6994146. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 81532/6994173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 81533/6994200. ------ 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. ------ 81534/6994335. ------ 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. ------ 81535/6994362. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a b)((^y.(y y))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(a a))) 5. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 81536/6994533. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 81537/6994641. ------ 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. ------ 81538/6994677. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 81539/6994695. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c b)) 3. ==[ beta ]==> (((^y.y) b)(c b)) 4. ==[ alpha ]==> (((^x.x) b)(c b)) 5. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 81540/6994704. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 81541/6994722. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 81542/6994731. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(^y1.a))) REDUCED to normal form. ------ 81543/6994812. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a) c)) 5. ==[ beta ]==> ((^y.(a a))((a a) c)) 6. ==[ alpha ]==> ((^x.(a a))((a a) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 81544/6994839. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 81545/6994857. ------ 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 (^y.y))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 81546/6994866. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 81547/6994893. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) c)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) c) REDUCED to normal form. ------ 81548/6994920. ------ 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))(^x1.x1))) REDUCED to normal form. ------ 81549/6994974. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1)) a)) REDUCED to normal form. ------ 81550/6995001. ------ 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)) REDUCED to normal form. ------ 81551/6995037. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b (^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b (^y.y))) 3. ==[ beta ]==> (((a a) b)(b (^y.y))) 4. ==[ alpha ]==> (((a a) b)(b (^x.x))) REDUCED to normal form. ------ 81552/6995064. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 81553/6995091. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)(a a))) 3. ==[ beta ]==> ((a (b a))((^y.y)(a a))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(a a))) 5. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 81554/6995118. ------ 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. ------ 81555/6995145. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^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. ------ 81556/6996876. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 81557/6997443. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(z a))) 3. ==[ beta ]==> (^y.((^z.(z a))(^z.(z a)))) 4. ==[ alpha ]==> (^x.((^y.(y a))(^z.(z a)))) 5. ==[ beta ]==> (^x.((^z.(z a)) a)) 6. ==[ alpha ]==> (^x.((^y.(y a)) a)) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 81558/7001898. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 81559/7001970. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)(^z.b))) 3. ==[ eta ]==> ((^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. ------ 81560/7002141. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 81561/7002441. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 81562/7002450. ------ 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. ------ 81563/7002747. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 81564/7002765. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^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. ------ 81565/7003062. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(a (^a.(^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)))) REDUCED to normal form. ------ 81566/7003356. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 81567/7003359. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 81568/7003923. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(b a))) 3. ==[ beta ]==> (^y.(((^z.z)(b a))((^z.z)(b a)))) 4. ==[ alpha ]==> (^x.(((^y.y)(b a))((^z.z)(b a)))) 5. ==[ beta ]==> (^x.((b a)((^z.z)(b a)))) 6. ==[ alpha ]==> (^x.((b a)((^y.y)(b a)))) 7. ==[ beta ]==> (^x.((b a)(b a))) REDUCED to normal form. ------ 81569/7003926. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y a))) REDUCED to normal form. ------ 81570/7004448. ------ 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)))) REDUCED to normal form. ------ 81571/7005177. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81572/7005843. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 81573/7006110. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 81574/7006410. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 81575/7006572. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 81576/7006734. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(^c.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. ------ 81577/7006878. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 81578/7007001. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^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. ------ 81579/7007283. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 81580/7007316. ------ 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. ------ 81581/7007607. ------ 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)(^z.a)) REDUCED to normal form. ------ 81582/7007796. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 81583/7007850. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 81584/7007922. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81585/7008021. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 81586/7008048. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.z))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 81587/7008102. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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. ------ 81588/7008150. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^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 ((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (a ((^x.x)((^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. ------ 81589/7008177. ------ 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. ------ 81590/7008204. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a a)(^x.x))(a (b a))) REDUCED to normal form. ------ 81591/7008231. ------ 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))))) REDUCED to normal form. ------ 81592/7008258. ------ 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)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 81593/7008303. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 81594/7008330. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 81595/7008384. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 81596/7008402. ------ 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. ------ 81597/7008429. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.a))) REDUCED to normal form. ------ 81598/7008456. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 81599/7008465. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a b))) 3. ==[ beta ]==> ((^y.a)((^z.a)(a b))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 81600/7008492. ------ 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.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. ------ 81601/7008546. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(b a))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(b a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(b a))) 5. ==[ beta ]==> (a ((^y.a)(b a))) 6. ==[ alpha ]==> (a ((^x.a)(b a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 81602/7008573. ------ 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.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. ------ 81603/7008627. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 81604/7008645. ------ 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) a)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 81605/7008672. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a) c)) REDUCED to normal form. ------ 81606/7008735. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.(a a))(^z.(^x1.x1)))((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.(a a))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a a)((^x1.(a a))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 81607/7008762. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 81608/7008816. ------ 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 ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81609/7008879. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (b a))) REDUCED to normal form. ------ 81610/7008906. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (a (^a.(^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. ------ 81611/7008924. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(^b.b))) 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))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 81612/7008933. ------ 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. ------ 81613/7008969. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 81614/7009041. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> ((b b)((a a)(a (a a)))) REDUCED to normal form. ------ 81615/7009176. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) 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. ------ 81616/7009203. ------ 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))) REDUCED to normal form. ------ 81617/7009221. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(b (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 81618/7009230. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 81619/7009248. ------ 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 (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 81620/7009374. ------ 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)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 81621/7009428. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a ((^x.x) 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)((^y.y)(^z.b))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 9. ==[ beta ]==> ((a a)(^y.b)) 10. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 81622/7009455. ------ 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. ------ 81623/7009545. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(a (^z1.(^x2.x2))))) 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. ------ 81624/7009680. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)(^b.(^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. ------ 81625/7009761. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(a a)))) 7. ==[ beta ]==> ((a a)((^y.(y y))(^z.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(a a)))) 9. ==[ beta ]==> ((a a)((^y.(a a))(^y.(a a)))) 10. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 81626/7009824. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (b a))) REDUCED to normal form. ------ 81627/7009842. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 81628/7009860. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.(^z.z))) 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. ------ 81629/7010013. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 81630/7010193. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^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. ------ 81631/7010220. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 81632/7010247. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 81633/7010301. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^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 a)))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((a 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. ------ 81634/7010382. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^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. ------ 81635/7010409. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(b a))) 3. ==[ beta ]==> ((a (^x.(a a)))(b a)) REDUCED to normal form. ------ 81636/7010427. ------ 1. ==[ start ]==> (((a a)(a b))((b a) a)) REDUCED to normal form. ------ 81637/7010454. ------ 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. ------ 81638/7010625. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.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. ------ 81639/7010652. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^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. ------ 81640/7010796. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 81641/7010823. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^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)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 81642/7010850. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 81643/7010877. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (a b))) REDUCED to normal form. ------ 81644/7010922. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 11. ==[ beta ]==> (b (^y.(^z.z))) 12. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 81645/7010931. ------ 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 a)(^z.z)))) REDUCED to normal form. ------ 81646/7011003. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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 a)) REDUCED to normal form. ------ 81647/7011075. ------ 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.(^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. ------ 81648/7011102. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))(^y.a))) REDUCED to normal form. ------ 81649/7011129. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) 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. ------ 81650/7011156. ------ 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 (^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. ------ 81651/7011210. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^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)) REDUCED to normal form. ------ 81652/7011237. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a) b)) REDUCED to normal form. ------ 81653/7011264. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a b) c)) 3. ==[ beta ]==> (((a a)(a a))((a b) c)) REDUCED to normal form. ------ 81654/7011327. ------ 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.(^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. ------ 81655/7011471. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(a a))(a a))) 3. ==[ beta ]==> (((a b) c)((a a)(a a))) REDUCED to normal form. ------ 81656/7011498. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 81657/7011525. ------ 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. ------ 81658/7011579. ------ 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)(^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. ------ 81659/7011606. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> ((a (^x.b))(a ((a a) a))) REDUCED to normal form. ------ 81660/7011660. ------ 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)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81661/7011705. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(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 a)) REDUCED to normal form. ------ 81662/7011804. ------ 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.(^z.z)))) REDUCED to normal form. ------ 81663/7011858. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 81664/7011885. ------ 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. ------ 81665/7011912. ------ 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)))(((^y1.y1)(a a)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a)) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) a)) 7. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) a)) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 9. ==[ beta ]==> (((^y.y)(a a)) a) 10. ==[ alpha ]==> (((^x.x)(a a)) a) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 81666/7011939. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a b) b)) REDUCED to normal form. ------ 81667/7011966. ------ 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. ------ 81668/7012281. ------ 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))) REDUCED to normal form. ------ 81669/7012326. ------ 1. ==[ start ]==> (((^a.a)(b a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(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. ------ 81670/7012353. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 81671/7012407. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^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. ------ 81672/7012488. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^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. ------ 81673/7012596. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 81674/7012722. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.b) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.b) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b) a)) 5. ==[ beta ]==> (((a a) a)((^y.b) a)) 6. ==[ alpha ]==> (((a a) a)((^x.b) a)) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 81675/7012776. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^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. ------ 81676/7012875. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 81677/7012893. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (^y1.b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 81678/7012974. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) a))) 7. ==[ beta ]==> ((a a)(((^y.y) a)((^y.y) a))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> ((a a)(a ((^y.y) a))) 10. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 81679/7013055. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 81680/7013163. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 81681/7013190. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^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. ------ 81682/7013199. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(b (^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (^x1.x1))) REDUCED to normal form. ------ 81683/7013217. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 81684/7013280. ------ 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. ------ 81685/7013307. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 81686/7013352. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (^b.(^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. ------ 81687/7013361. ------ 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)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 81688/7013460. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 81689/7013487. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^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. ------ 81690/7013505. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 81691/7013532. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 81692/7013559. ------ 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)) REDUCED to normal form. ------ 81693/7013667. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^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. ------ 81694/7013694. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(y y)) b)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x)) b)) 5. ==[ beta ]==> (((a a)(a (a a)))(b b)) REDUCED to normal form. ------ 81695/7013721. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a) c)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a) c)) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 81696/7013766. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 81697/7013802. ------ 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. ------ 81698/7013811. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 81699/7013838. ------ 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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 81700/7013973. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 81701/7014081. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 81702/7014090. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a a) a)) REDUCED to normal form. ------ 81703/7014135. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(a a))) 5. ==[ beta ]==> (b ((^y.a)(a a))) 6. ==[ alpha ]==> (b ((^x.a)(a a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 81704/7014144. ------ 1. ==[ start ]==> (((a a)(^b.b))(c b)) 2. ==[ alpha ]==> (((a a)(^x.x))(c b)) REDUCED to normal form. ------ 81705/7014162. ------ 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.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.x2)))) 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. ------ 81706/7014171. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b c)) REDUCED to normal form. ------ 81707/7014216. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 81708/7014252. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(b (a (^z.z)))) 6. ==[ alpha ]==> ((^x.(a a))(b (a (^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 81709/7014279. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 81710/7014297. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c (^y.y))) 3. ==[ beta ]==> (b (c (^y.y))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 81711/7014306. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 81712/7014333. ------ 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. ------ 81713/7014405. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81714/7014441. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b (a a))) 3. ==[ beta ]==> ((b (^y.y))(b (a a))) 4. ==[ alpha ]==> ((b (^x.x))(b (a a))) REDUCED to normal form. ------ 81715/7014477. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^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. ------ 81716/7014504. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) b) REDUCED to normal form. ------ 81717/7014531. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(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. ------ 81718/7014558. ------ 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. ------ 81719/7014585. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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. ------ 81720/7014611. ------ 1. ==[ start ]==> (^a.(((a a) a)(a b))) 2. ==[ alpha ]==> (^x.(((x x) x)(x b))) REDUCED to normal form. ------ 81721/7014612. ------ 1. ==[ start ]==> (a (((a a) a)(a b))) REDUCED to normal form. ------ 81722/7016892. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(^d.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.((^z.(^x1.a))(^z.(^x1.a)))) 4. ==[ alpha ]==> (^x.((^y.(^z.a))(^x1.(^y1.a)))) 5. ==[ beta ]==> (^x.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 81723/7021098. ------ 1. ==[ start ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 81724/7021104. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.x)(((a a) a)(a b))) 3. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 81725/7021131. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(a a)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 7. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 9. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 10. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(a a)))) 11. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 12. ==[ alpha ]==> ((a a)((^x.x)((^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. ------ 81726/7021158. ------ 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. ------ 81727/7021239. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a a)((^z.z) b))(^y.y)) 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. ------ 81728/7021260. ------ 1. ==[ start ]==> (((a a) b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 81729/7021356. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 81730/7021584. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.y))(^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. ------ 81731/7021599. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) b) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 81732/7021908. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 81733/7021923. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 81734/7022049. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81735/7022232. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 81736/7022520. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.(^y2.y2))))) 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. ------ 81737/7022835. ------ 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. ------ 81738/7022994. ------ 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 ]==> ((((^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. ------ 81739/7023384. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(^d.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 81740/7025499. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.a)) a) 4. ==[ beta ]==> (((a a)(^y.a)) a) 5. ==[ alpha ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 81741/7025697. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(a 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))) REDUCED to normal form. ------ 81742/7025856. ------ 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 ]==> (((a a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 81743/7026030. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(^c.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. ------ 81744/7026459. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81745/7026642. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.((^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))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 81746/7027092. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 81747/7027254. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 81748/7027335. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.z))) REDUCED to normal form. ------ 81749/7027389. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) REDUCED to normal form. ------ 81750/7027452. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 81751/7027533. ------ 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. ------ 81752/7027560. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.(x1 x1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(x1 x1))) 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. ------ 81753/7027587. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 81754/7027599. ------ 1. ==[ start ]==> ((a a)(((a a) a)(a b))) REDUCED to normal form. ------ 81755/7027626. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))((^a.a)(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))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 81756/7027653. ------ 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. ------ 81757/7027698. ------ 1. ==[ start ]==> (((^a.a) b)(c (^a.(^a.(^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. ------ 81758/7027707. ------ 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. ------ 81759/7027725. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(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. ------ 81760/7027734. ------ 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. ------ 81761/7027752. ------ 1. ==[ start ]==> (((a a) b)(a (^c.(a a)))) 2. ==[ alpha ]==> (((a a) b)(a (^x.(a a)))) REDUCED to normal form. ------ 81762/7027770. ------ 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)(((^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. ------ 81763/7027779. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 81764/7027797. ------ 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.(^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. ------ 81765/7027806. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (^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. ------ 81766/7027824. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a)(^b.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. ------ 81767/7027851. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 81768/7027887. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 81769/7027932. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((^y.a)(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)(^y.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 81770/7027959. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(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. ------ 81771/7027968. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 81772/7027995. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 81773/7028022. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(b a))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 81774/7028040. ------ 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))(^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. ------ 81775/7028049. ------ 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.y1))(a (^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. ------ 81776/7028076. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^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. ------ 81777/7028094. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b) a)) 3. ==[ beta ]==> ((a (^x.(x x)))(b a)) REDUCED to normal form. ------ 81778/7028265. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 81779/7028292. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 81780/7028373. ------ 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))(^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. ------ 81781/7028400. ------ 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. ------ 81782/7028418. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 81783/7028436. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 81784/7028463. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((b a)(a (^y.y)))) REDUCED to normal form. ------ 81785/7028490. ------ 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. ------ 81786/7028517. ------ 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. ------ 81787/7028544. ------ 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 (^y.y))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a b)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 81788/7028697. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 81789/7028724. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.z))) REDUCED to normal form. ------ 81790/7028751. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 81791/7028769. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a)(^a.(^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. ------ 81792/7029012. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.(^x2.x2))))) 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. ------ 81793/7029066. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b a) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((b a) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b a) b)) 5. ==[ beta ]==> (a ((b a) b)) REDUCED to normal form. ------ 81794/7029102. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a))(^b.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. ------ 81795/7029129. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 81796/7029183. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 81797/7029210. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 81798/7029237. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 81799/7029264. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(^c.(^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. ------ 81800/7029327. ------ 1. ==[ start ]==> (((a a)((a a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 81801/7029354. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((b a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((b a)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(a a))) REDUCED to normal form. ------ 81802/7029381. ------ 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 (^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)))) REDUCED to normal form. ------ 81803/7029408. ------ 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.z) a))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a 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. ------ 81804/7029435. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^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. ------ 81805/7029462. ------ 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. ------ 81806/7029489. ------ 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))((^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. ------ 81807/7029660. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(^a.a))(^a.(^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. ------ 81808/7029669. ------ 1. ==[ start ]==> (((a b) a)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 81809/7029687. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a))(^b.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. ------ 81810/7029696. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 81811/7029714. ------ 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)((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. ------ 81812/7029750. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 81813/7029777. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))((a 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. ------ 81814/7029804. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(a b))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(a b))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 81815/7029831. ------ 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. ------ 81816/7029849. ------ 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 ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 81817/7029858. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^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. ------ 81818/7030047. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 81819/7030398. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 81820/7030452. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 81821/7030470. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(a a))(^a.(^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. ------ 81822/7030479. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 81823/7030506. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 81824/7030695. ------ 1. ==[ start ]==> (((^a.b) c)((^c.(^a.a))(^a.a))) 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. ------ 81825/7030929. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 81826/7031127. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (^b.(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. ------ 81827/7031172. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 81828/7031181. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 81829/7031208. ------ 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 (^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. ------ 81830/7031604. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(a a)) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(a a)) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a)) a)) 5. ==[ beta ]==> (b ((^z.(a a)) a)) 6. ==[ alpha ]==> (b ((^x.(a a)) a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 81831/7031748. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (^y.a))) REDUCED to normal form. ------ 81832/7031820. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 81833/7031856. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 81834/7031874. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.a))) 7. ==[ beta ]==> (((a b)(a b))(^y.a)) 8. ==[ alpha ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 81835/7031883. ------ 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) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 81836/7031937. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 81837/7031955. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((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. ------ 81838/7031964. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^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. ------ 81839/7031991. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(a b))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(a b))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a b))) 5. ==[ beta ]==> (((a a)(^x.a))(a b)) REDUCED to normal form. ------ 81840/7032018. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 81841/7032162. ------ 1. ==[ start ]==> (((a (a a))(a b))(b ((a a) a))) REDUCED to normal form. ------ 81842/7032189. ------ 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. ------ 81843/7032216. ------ 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. ------ 81844/7032243. ------ 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 (^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)))) 5. ==[ beta ]==> (((a b)(a (a a)))(a (^y.y))) 6. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 81845/7032270. ------ 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.z) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a 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. ------ 81846/7032297. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 81847/7032342. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 81848/7032351. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)((a a) a))) REDUCED to normal form. ------ 81849/7032441. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))(^z.a))) 5. ==[ beta ]==> ((a a)((a (a a))(^z.a))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.a))) REDUCED to normal form. ------ 81850/7032522. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(^c.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. ------ 81851/7032639. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 81852/7032666. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 81853/7032738. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z)) b)) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z)) b)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) b)) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 81854/7032828. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 81855/7032882. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(^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. ------ 81856/7032927. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 81857/7032936. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 81858/7032954. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 81859/7033080. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a b))(c ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 81860/7033107. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b (a (a a)))) REDUCED to normal form. ------ 81861/7033134. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 81862/7033161. ------ 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. ------ 81863/7033188. ------ 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. ------ 81864/7033233. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 81865/7033242. ------ 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. ------ 81866/7033278. ------ 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. ------ 81867/7033305. ------ 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)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) a)(^x2.(^y2.y2)))) 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. ------ 81868/7033440. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z)) c)) 3. ==[ beta ]==> (b ((a (^z.z)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 81869/7033557. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (^z.a))) REDUCED to normal form. ------ 81870/7033584. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a (^y.(y y)))) 3. ==[ beta ]==> ((b a)(a (^y.(y y)))) 4. ==[ alpha ]==> ((b a)(a (^x.(x x)))) REDUCED to normal form. ------ 81871/7033602. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) 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. ------ 81872/7033611. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 81873/7033629. ------ 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 (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(^x2.x2)))) 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. ------ 81874/7033638. ------ 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.(^z1.z1))(a (^x2.x2)))) 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. ------ 81875/7033683. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z) 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. ------ 81876/7033719. ------ 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))(^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. ------ 81877/7033746. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.a)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.a)) REDUCED to normal form. ------ 81878/7033764. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a) a)) 3. ==[ beta ]==> (b ((^y.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 81879/7033773. ------ 1. ==[ start ]==> (((a b)(^c.a))(c (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.y))) REDUCED to normal form. ------ 81880/7033800. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b (^a.(^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. ------ 81881/7033827. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.a))) REDUCED to normal form. ------ 81882/7033872. ------ 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.(^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. ------ 81883/7033881. ------ 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 (^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. ------ 81884/7033908. ------ 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))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 81885/7033944. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 81886/7033971. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 81887/7033998. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b a)) 3. ==[ beta ]==> ((a (b a))(b a)) REDUCED to normal form. ------ 81888/7034025. ------ 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. ------ 81889/7034052. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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. ------ 81890/7034079. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a a)) REDUCED to normal form. ------ 81891/7034910. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 81892/7039761. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(^b.(^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. ------ 81893/7040574. ------ 1. ==[ start ]==> ((((a a) a)(a b)) b) REDUCED to normal form. ------ 81894/7040598. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81895/7040679. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 81896/7040724. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (^z.z))) 3. ==[ beta ]==> ((b (^z.z))(^y.y)) 4. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 81897/7040913. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)((a a) a))) 3. ==[ eta ]==> ((^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. ------ 81898/7041408. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 81899/7041411. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 81900/7041966. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((^y.a)((a a)(^z.z)))((^y.a)((a a)(^z.z))))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((^x.a)((a a)(^y.y)))((^z.a)((a a)(^x1.x1))))((^y1.a)((a a)(^z1.z1)))) 5. ==[ beta ]==> ((a ((^z.a)((a a)(^x1.x1))))((^y1.a)((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.a)((a a)(^y.y))))((^z.a)((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^z.a)((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.a)((a a)(^y.y)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 81901/7042299. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (b a))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 81902/7042320. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 81903/7042887. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(x a))) REDUCED to normal form. ------ 81904/7043073. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))(^x1.b))((^z.(z z))(^x1.b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.b))((^x1.(x1 x1))(^y1.b)))) 5. ==[ beta ]==> (((^y.(y y))(^z.b))((^x1.(x1 x1))(^y1.b))) 6. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(^x1.b))) 7. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(^x1.b))) 8. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.b))) 9. ==[ beta ]==> (b ((^z.(z z))(^x1.b))) 10. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 11. ==[ beta ]==> (b ((^y.b)(^y.b))) 12. ==[ alpha ]==> (b ((^x.b)(^y.b))) 13. ==[ beta ]==> (b b) REDUCED to normal form. ------ 81905/7043166. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(x x))(^y.(^z.z))) b) 4. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z))) b) 5. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 6. ==[ beta ]==> ((^y.y) b) 7. ==[ alpha ]==> ((^x.x) b) 8. ==[ beta ]==> b REDUCED to normal form. ------ 81906/7043670. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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)))) REDUCED to normal form. ------ 81907/7043748. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b)(^b.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. ------ 81908/7043922. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 81909/7044372. ------ 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.((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(a a)))) 7. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 9. ==[ beta ]==> (^y.((^z.z)(a a))) 10. ==[ alpha ]==> (^x.((^y.y)(a a))) 11. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 81910/7044504. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))(^b.(^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. ------ 81911/7044597. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (b (^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 7. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 81912/7044786. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.(a b))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(a b))) 3. ==[ beta ]==> ((b a)(^y.(a b))) 4. ==[ alpha ]==> ((b a)(^x.(a b))) REDUCED to normal form. ------ 81913/7044984. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 81914/7045182. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.y))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.y))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.x))) REDUCED to normal form. ------ 81915/7045341. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b (^x1.a))) 3. ==[ beta ]==> ((b (^x1.a))(^y.(^z.z))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 81916/7045944. ------ 1. ==[ start ]==> ((^a.(^b.b))(c d)) 2. ==[ alpha ]==> ((^x.(^y.y))(c d)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81917/7045992. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.z))) REDUCED to normal form. ------ 81918/7046127. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(^b.(^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. ------ 81919/7046259. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 81920/7046262. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(^b.(^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. ------ 81921/7046739. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 81922/7046757. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.b)((a a) a))(^z.z)) 4. ==[ alpha ]==> (((^x.b)((a a) a))(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 81923/7046820. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.c)) REDUCED to normal form. ------ 81924/7046937. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.(^a.(^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. ------ 81925/7046991. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.(^a.(^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. ------ 81926/7047018. ------ 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. ------ 81927/7047045. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.(^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. ------ 81928/7047072. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 81929/7047102. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a b))) REDUCED to normal form. ------ 81930/7047129. ------ 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.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. ------ 81931/7047156. ------ 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. ------ 81932/7047183. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 81933/7047228. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 81934/7047237. ------ 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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81935/7047273. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.y))) REDUCED to normal form. ------ 81936/7047300. ------ 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)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 81937/7047327. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(^z.a))) REDUCED to normal form. ------ 81938/7047381. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 81939/7047390. ------ 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 (^x.x))(a a))(a a)) REDUCED to normal form. ------ 81940/7047417. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)((a a) a))) 3. ==[ beta ]==> ((a a)((^y.b)((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.b)((a a) a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 81941/7047462. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.(a a))) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 81942/7047543. ------ 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))(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 81943/7047570. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((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. ------ 81944/7047606. ------ 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) 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. ------ 81945/7047633. ------ 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)))(^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. ------ 81946/7047885. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (a (^a.(^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. ------ 81947/7047912. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 81948/7048002. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z)) d)) 3. ==[ beta ]==> ((b b)((^y.(^z.z)) d)) 4. ==[ alpha ]==> ((b b)((^x.(^y.y)) d)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 81949/7048047. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 81950/7048074. ------ 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. ------ 81951/7048128. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)((a (a a))((^y1.y1)(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. ------ 81952/7048182. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(b a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(b a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 7. ==[ beta ]==> ((a (^y.y))(b a)) 8. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 81953/7048209. ------ 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 (^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. ------ 81954/7048245. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 81955/7048272. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 81956/7048299. ------ 1. ==[ start ]==> ((((^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.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 81957/7048335. ------ 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)(^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. ------ 81958/7048362. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 81959/7048416. ------ 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. ------ 81960/7048443. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(a a)))) 9. ==[ beta ]==> ((a a)((a a)((^y.y)(a a)))) 10. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 11. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 81961/7048470. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 81962/7048596. ------ 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. ------ 81963/7048803. ------ 1. ==[ start ]==> ((a (^a.b))(b (b a))) 2. ==[ alpha ]==> ((a (^x.b))(b (b a))) REDUCED to normal form. ------ 81964/7048821. ------ 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))))) 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. ------ 81965/7048992. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 81966/7049073. ------ 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.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))((a a)(^x1.x1)))) IRREDUCIBLE: cycle. ------ 81967/7049136. ------ 1. ==[ start ]==> ((((a a) a) b)((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((b a)(^x.x))) REDUCED to normal form. ------ 81968/7049163. ------ 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. ------ 81969/7049190. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a))(^b.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. ------ 81970/7049244. ------ 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.(^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. ------ 81971/7049298. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(^z.b))) 5. ==[ beta ]==> ((^y.a)((a (a a))(^z.b))) 6. ==[ alpha ]==> ((^x.a)((a (a a))(^y.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 81972/7049325. ------ 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. ------ 81973/7049352. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 81974/7049388. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(b a))) 3. ==[ beta ]==> (((a a)(a b))(b a)) REDUCED to normal form. ------ 81975/7049469. ------ 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. ------ 81976/7049496. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(z z)))) 7. ==[ beta ]==> (a ((^y.b)(^z.(z z)))) 8. ==[ alpha ]==> (a ((^x.b)(^y.(y y)))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 81977/7049550. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 81978/7049577. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((a (a a))((^y.b)(^y.b))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(^y.b))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 81979/7049613. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(c ((^x1.x1)(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. ------ 81980/7049667. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 81981/7049748. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 81982/7049802. ------ 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)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.x)((^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. ------ 81983/7049829. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 81984/7049883. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1)(a a)))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(a a)))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 11. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 12. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 13. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 81985/7049946. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 81986/7049973. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 81987/7050000. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b)(^b.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. ------ 81988/7050063. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 81989/7050090. ------ 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. ------ 81990/7050117. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 81991/7050144. ------ 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.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. ------ 81992/7050171. ------ 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)(^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. ------ 81993/7050189. ------ 1. ==[ start ]==> (((^a.b) c)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) c)(((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. ------ 81994/7050198. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.(^a.a))(^a.a))) 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. ------ 81995/7050225. ------ 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 a)) REDUCED to normal form. ------ 81996/7050252. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 81997/7050423. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 81998/7050432. ------ 1. ==[ start ]==> (((a b) c)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 81999/7050459. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(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 a)) REDUCED to normal form. ------ 82000/7050486. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 82001/7050504. ------ 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.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((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. ------ 82002/7050531. ------ 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)(^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. ------ 82003/7050585. ------ 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. ------ 82004/7050675. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 82005/7050702. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 82006/7050729. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a)(^z.a))) REDUCED to normal form. ------ 82007/7050765. ------ 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 (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. ------ 82008/7050792. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 11. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 12. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 82009/7050819. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.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. ------ 82010/7050846. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^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. ------ 82011/7050873. ------ 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)((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(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. ------ 82012/7050900. ------ 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))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 82013/7050927. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b)(^a.(^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. ------ 82014/7050981. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 82015/7051008. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))(^b.(^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. ------ 82016/7051098. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (b (a ((^z.z)(a a)))) 6. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 82017/7051179. ------ 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))((^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. ------ 82018/7051287. ------ 1. ==[ start ]==> (((^a.a)(b a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)(b a))((a a)(a b))) 3. ==[ beta ]==> ((b a)((a a)(a b))) REDUCED to normal form. ------ 82019/7051350. ------ 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. ------ 82020/7051377. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.b))(^z.a)) 6. ==[ alpha ]==> (((a (a a))(^x.b))(^y.a)) REDUCED to normal form. ------ 82021/7051431. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)(^b.(^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. ------ 82022/7051458. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 82023/7051485. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(^z.b))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.b))) REDUCED to normal form. ------ 82024/7051512. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b) a)) REDUCED to normal form. ------ 82025/7051575. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^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. ------ 82026/7051602. ------ 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 z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 82027/7051629. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)(^b.(^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. ------ 82028/7051656. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))(^c.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. ------ 82029/7051683. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.b))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.b))) 7. ==[ beta ]==> (((a a) a)(^y.b)) 8. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 82030/7051845. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.a))) REDUCED to normal form. ------ 82031/7051854. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((a a) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 82032/7052178. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 82033/7052232. ------ 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.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1))(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(a a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a a))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 11. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 82034/7052241. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(^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. ------ 82035/7052268. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z)) c)) 5. ==[ beta ]==> ((^y.b)((^z.(z z)) c)) 6. ==[ alpha ]==> ((^x.b)((^y.(y y)) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 82036/7052313. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 82037/7052376. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 82038/7052430. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.a))) REDUCED to normal form. ------ 82039/7052448. ------ 1. ==[ start ]==> ((a (^b.b))(c d)) 2. ==[ alpha ]==> ((a (^x.x))(c d)) REDUCED to normal form. ------ 82040/7052466. ------ 1. ==[ start ]==> (((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)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 82041/7052493. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(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. ------ 82042/7052520. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^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. ------ 82043/7052547. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 8. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 82044/7052574. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 82045/7052601. ------ 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. ------ 82046/7052628. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(^b.(^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. ------ 82047/7052736. ------ 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. ------ 82048/7052763. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 82049/7052934. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (a (^z.z)))) 3. ==[ beta ]==> (b (c (a (^z.z)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 82050/7053042. ------ 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 (^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. ------ 82051/7053051. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 82052/7053105. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 82053/7053132. ------ 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 (^y1.y1))(^z1.(^x2.x2)))) REDUCED to normal form. ------ 82054/7053213. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z)) b)) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z)) b)) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y)) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 82055/7053240. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a) c)) REDUCED to normal form. ------ 82056/7053258. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a ((^y.y) a))) 3. ==[ beta ]==> (b (a ((^y.y) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 82057/7053267. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) a)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 82058/7053294. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 82059/7053366. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(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. ------ 82060/7053375. ------ 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.(^z1.z1)))) REDUCED to normal form. ------ 82061/7053402. ------ 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)) REDUCED to normal form. ------ 82062/7053438. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)(^a.(^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. ------ 82063/7053465. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b (^x1.x1))) REDUCED to normal form. ------ 82064/7053492. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a (^a.(^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. ------ 82065/7053519. ------ 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. ------ 82066/7053546. ------ 1. ==[ start ]==> ((((^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))) 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. ------ 82067/7053573. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.x))) REDUCED to normal form. ------ 82068/7054089. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.z)) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 82069/7054413. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 82070/7060077. ------ 1. ==[ start ]==> ((((a a) a)(a b)) c) REDUCED to normal form. ------ 82071/7060257. ------ 1. ==[ start ]==> (((a a) b)(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.y) b))) 3. ==[ beta ]==> (((a a) b)(^x.b)) REDUCED to normal form. ------ 82072/7060425. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)(^z.a))) 3. ==[ eta ]==> ((^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. ------ 82073/7060596. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 82074/7060599. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 82075/7060920. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 82076/7060923. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 82077/7062378. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^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. ------ 82078/7062399. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(^d.a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 82079/7063260. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a b) c)) 3. ==[ beta ]==> ((((a b) c)((a b) c))(^y.y)) 4. ==[ alpha ]==> ((((a b) c)((a b) c))(^x.x)) REDUCED to normal form. ------ 82080/7063434. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 82081/7063443. ------ 1. ==[ start ]==> (((a b) c)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 82082/7063677. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 82083/7064109. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (b (^z.(^x1.(a a)))) 6. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 82084/7064325. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 82085/7065456. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82086/7065504. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 82087/7065783. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(^b.(^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. ------ 82088/7066089. ------ 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)(^x.a)) REDUCED to normal form. ------ 82089/7066107. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(z z)))) 5. ==[ beta ]==> (b (^y.(^z.(z z)))) 6. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 82090/7066188. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.a)) REDUCED to normal form. ------ 82091/7066269. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 82092/7066278. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.((^a.a) a))) 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. ------ 82093/7066413. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.c)) 3. ==[ beta ]==> ((b (^y.y))(^z.c)) 4. ==[ alpha ]==> ((b (^x.x))(^y.c)) REDUCED to normal form. ------ 82094/7066449. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.b)) 3. ==[ beta ]==> (((a a) b)(^y.b)) 4. ==[ alpha ]==> (((a a) b)(^x.b)) REDUCED to normal form. ------ 82095/7066503. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.y)) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 82096/7066584. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.a)) REDUCED to normal form. ------ 82097/7066632. ------ 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. ------ 82098/7066659. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))((^a.a)(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)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 82099/7066686. ------ 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. ------ 82100/7066713. ------ 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. ------ 82101/7066740. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((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. ------ 82102/7066758. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (^b.b))) 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. ------ 82103/7066767. ------ 1. ==[ start ]==> (((a a) b)((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)((a a)((^x.x) b))) 3. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 82104/7066812. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^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. ------ 82105/7066839. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 82106/7066884. ------ 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. ------ 82107/7066911. ------ 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 (^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. ------ 82108/7066938. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 82109/7066947. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)((a a) a))) 3. ==[ beta ]==> ((^y.a)((^z.b)((a a) a))) 4. ==[ alpha ]==> ((^x.a)((^y.b)((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 82110/7067028. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> (a ((^y.(y y))((a a)(^z.z)))) 6. ==[ alpha ]==> (a ((^x.(x x))((a a)(^y.y)))) 7. ==[ beta ]==> (a (((a a)(^y.y))((a a)(^y.y)))) 8. ==[ alpha ]==> (a (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 82111/7067055. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 82112/7067109. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 82113/7067127. ------ 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) 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. ------ 82114/7067154. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 82115/7067181. ------ 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. ------ 82116/7067244. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))(^b.(^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. ------ 82117/7067325. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 82118/7067406. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^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. ------ 82119/7067415. ------ 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. ------ 82120/7067433. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 82121/7067451. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.b) a)) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x) a)) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 82122/7067478. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 82123/7067523. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((b b)(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> ((b b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 82124/7067658. ------ 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. ------ 82125/7067685. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (a (((^y.y) a)((a a)(^z.z)))) 6. ==[ alpha ]==> (a (((^x.x) a)((a a)(^y.y)))) 7. ==[ beta ]==> (a (a ((a a)(^y.y)))) 8. ==[ alpha ]==> (a (a ((a a)(^x.x)))) REDUCED to normal form. ------ 82126/7067712. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 82127/7067730. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(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. ------ 82128/7067739. ------ 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 (^z.(^x1.x1))))) REDUCED to normal form. ------ 82129/7067784. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(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. ------ 82130/7067856. ------ 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)(^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. ------ 82131/7067883. ------ 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. ------ 82132/7067937. ------ 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. ------ 82133/7067964. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 82134/7068027. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^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. ------ 82135/7068081. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> (a ((^z.(^x1.(^y1.y1)))(^z1.z1))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 82136/7068162. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 82137/7068189. ------ 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.(^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. ------ 82138/7068243. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 82139/7068369. ------ 1. ==[ start ]==> (((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))) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1))) 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. ------ 82140/7068495. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 82141/7068702. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 82142/7068729. ------ 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.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. ------ 82143/7068864. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.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. ------ 82144/7068891. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^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. ------ 82145/7068936. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((b a) a)) REDUCED to normal form. ------ 82146/7068963. ------ 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)) REDUCED to normal form. ------ 82147/7069107. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(^z.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 82148/7069134. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.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. ------ 82149/7069278. ------ 1. ==[ start ]==> (((a b) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((a b)((^x.x) a))) 3. ==[ beta ]==> (((a b) b)((a b) a)) REDUCED to normal form. ------ 82150/7069305. ------ 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. ------ 82151/7069332. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 82152/7069359. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))((a a) a))) REDUCED to normal form. ------ 82153/7069413. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 82154/7069440. ------ 1. ==[ start ]==> ((((^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)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.(y y))((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.(x x))((a a)((a a)(^y.y)))) 7. ==[ beta ]==> (((a a)((a a)(^y.y)))((a a)((a a)(^y.y)))) 8. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 82155/7069485. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 82156/7069557. ------ 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)))) 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. ------ 82157/7069584. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a b))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 82158/7069638. ------ 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) 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. ------ 82159/7069665. ------ 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 (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^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)))) REDUCED to normal form. ------ 82160/7069719. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 82161/7069746. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a)) b)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a))((a a) b)) REDUCED to normal form. ------ 82162/7069773. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b) c)) REDUCED to normal form. ------ 82163/7069809. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(y1 y1)))) 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. ------ 82164/7069944. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 82165/7069953. ------ 1. ==[ start ]==> (((a b) c)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 82166/7069980. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 82167/7070007. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(a (^y.y)))) REDUCED to normal form. ------ 82168/7070061. ------ 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)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (a a))) REDUCED to normal form. ------ 82169/7070088. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))((^y.y)(^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. ------ 82170/7070142. ------ 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.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82171/7070169. ------ 1. ==[ start ]==> ((((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)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 82172/7070187. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 82173/7070286. ------ 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 x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.(z z))) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 82174/7070313. ------ 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.(^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. ------ 82175/7070340. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 82176/7070367. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 82177/7070394. ------ 1. ==[ start ]==> ((((^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)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(a a)))) 7. ==[ beta ]==> ((^y.y)((a a)(^z.(a a)))) 8. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 9. ==[ beta ]==> ((a a)(^y.(a a))) 10. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 82178/7070421. ------ 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. ------ 82179/7070448. ------ 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. ------ 82180/7070619. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (b ((^z.z)(^x1.(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. ------ 82181/7070763. ------ 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)(^x.x)) 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. ------ 82182/7070808. ------ 1. ==[ start ]==> (((^a.a)(b a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)(b a))(b (^y.b))) 3. ==[ beta ]==> ((b a)(b (^y.b))) 4. ==[ alpha ]==> ((b a)(b (^x.b))) REDUCED to normal form. ------ 82183/7070835. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 82184/7070889. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 82185/7070970. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.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. ------ 82186/7071096. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> (((a a)(b a))((^y.y) c)) 4. ==[ alpha ]==> (((a a)(b a))((^x.x) c)) 5. ==[ beta ]==> (((a a)(b a)) c) REDUCED to normal form. ------ 82187/7071231. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.b) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.b) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b) a)) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 82188/7071258. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.a) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a) b)) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 82189/7071285. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z)) c)) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) c)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 82190/7071357. ------ 1. ==[ start ]==> (((^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)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82191/7071375. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 82192/7071456. ------ 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 (^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. ------ 82193/7071537. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 82194/7071645. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 82195/7071672. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 82196/7071699. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))(^b.(^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. ------ 82197/7071762. ------ 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.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(a a))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 82198/7071789. ------ 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. ------ 82199/7071834. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> (b (c (^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 82200/7071843. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 82201/7071870. ------ 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)))) 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. ------ 82202/7071942. ------ 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 (^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. ------ 82203/7071969. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 82204/7071987. ------ 1. ==[ start ]==> (((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 x1)))) REDUCED to normal form. ------ 82205/7072014. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 82206/7072041. ------ 1. ==[ start ]==> ((((^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)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z) a)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y) a)) 7. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 82207/7072068. ------ 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. ------ 82208/7072095. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a) c)) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a) c)) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 82209/7072176. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(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. ------ 82210/7072203. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(z z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y)) b)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(b b)) REDUCED to normal form. ------ 82211/7072248. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 82212/7072293. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 82213/7072320. ------ 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))(a a))) 3. ==[ beta ]==> ((^y.y)((^z1.(z1 z1))(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. ------ 82214/7072455. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 82215/7072572. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 82216/7072599. ------ 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))) 5. ==[ beta ]==> ((b a)((a a) a)) REDUCED to normal form. ------ 82217/7072617. ------ 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. ------ 82218/7072644. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 82219/7072698. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 82220/7072734. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c (a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (a a))) 5. ==[ beta ]==> ((^y.(a a))(c (a a))) 6. ==[ alpha ]==> ((^x.(a a))(c (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 82221/7072761. ------ 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. ------ 82222/7072779. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y)(^z.a))) 3. ==[ beta ]==> (b ((^y.y)(^z.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 82223/7072788. ------ 1. ==[ start ]==> (((a b)(^c.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 82224/7072815. ------ 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))) REDUCED to normal form. ------ 82225/7072842. ------ 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. ------ 82226/7072887. ------ 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))(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. ------ 82227/7072896. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b b)) REDUCED to normal form. ------ 82228/7072923. ------ 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)) REDUCED to normal form. ------ 82229/7072959. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a) b)) 3. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 82230/7072986. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1)) 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. ------ 82231/7073013. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y) b)) 3. ==[ beta ]==> ((a (b a))((^y.y) b)) 4. ==[ alpha ]==> ((a (b a))((^x.x) b)) 5. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 82232/7073040. ------ 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. ------ 82233/7073067. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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. ------ 82234/7073094. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x) a)) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 82235/7073120. ------ 1. ==[ start ]==> (^a.((a b)((a a) a))) 2. ==[ alpha ]==> (^x.((x b)((x x) x))) REDUCED to normal form. ------ 82236/7073121. ------ 1. ==[ start ]==> (a ((a b)((a a) a))) REDUCED to normal form. ------ 82237/7078794. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 82238/7079634. ------ 1. ==[ start ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 82239/7079640. ------ 1. ==[ start ]==> ((^a.a)((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 3. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 82240/7079667. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)(a b))) 3. ==[ beta ]==> ((((a a) a)(a b))(((a a) a)(a b))) REDUCED to normal form. ------ 82241/7079694. ------ 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 REDUCED to normal form. ------ 82242/7079775. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^z.z))(a (^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 82243/7079892. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a)(^b.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. ------ 82244/7080135. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(^z.z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 82245/7080480. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.((^y.y) b))) 3. ==[ beta ]==> (((a a)(a (a a)))(^x.b)) REDUCED to normal form. ------ 82246/7080585. ------ 1. ==[ start ]==> ((^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)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82247/7080795. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 82248/7081398. ------ 1. ==[ start ]==> (((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.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))))) REDUCED to normal form. ------ 82249/7081530. ------ 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 ]==> ((((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) REDUCED to normal form. ------ 82250/7081686. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 82251/7081917. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((a (^z.z))(^x1.(^y1.y1)))((a (^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2))))) REDUCED to normal form. ------ 82252/7082739. ------ 1. ==[ start ]==> (((^a.b) c)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(^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. ------ 82253/7082982. ------ 1. ==[ start ]==> (((a b) c)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 82254/7083225. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 82255/7084062. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 82256/7084104. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a) a) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 82257/7084260. ------ 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)(^y.y))(^z.(z b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y b))) REDUCED to normal form. ------ 82258/7084392. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x1.x1))((^y1.y1)(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 82259/7084926. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.z))) REDUCED to normal form. ------ 82260/7084995. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82261/7085205. ------ 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)(^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. ------ 82262/7085310. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 82263/7085313. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(a (a a)))) 3. ==[ beta ]==> ((a b)(^y.(a (a a)))) 4. ==[ alpha ]==> ((a b)(^x.(a (a a)))) REDUCED to normal form. ------ 82264/7085655. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 82265/7085808. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 82266/7085817. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 82267/7085952. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.(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)))) REDUCED to normal form. ------ 82268/7086015. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 82269/7086042. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(a a))) 3. ==[ beta ]==> ((a (b a))(^y.(a a))) 4. ==[ alpha ]==> ((a (b a))(^x.(a a))) REDUCED to normal form. ------ 82270/7086096. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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. ------ 82271/7086123. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(x x))) REDUCED to normal form. ------ 82272/7086150. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.a)) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 82273/7086162. ------ 1. ==[ start ]==> ((a a)((a b)((a a) a))) REDUCED to normal form. ------ 82274/7086189. ------ 1. ==[ start ]==> ((a (a a))(((a a) a)(a b))) REDUCED to normal form. ------ 82275/7086216. ------ 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)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.x)((^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. ------ 82276/7086270. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a a)(a a))(a (b a))) REDUCED to normal form. ------ 82277/7086297. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 82278/7086315. ------ 1. ==[ start ]==> (((a a) b)(b (^b.b))) 2. ==[ alpha ]==> (((a a) b)(b (^x.x))) REDUCED to normal form. ------ 82279/7086360. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) b)(^a.a))) 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 (^x.x))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 82280/7086369. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 82281/7086387. ------ 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)))(^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. ------ 82282/7086396. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 82283/7086414. ------ 1. ==[ start ]==> ((a (^b.a))((b a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((b a)(^y.a))) REDUCED to normal form. ------ 82284/7086450. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 82285/7086495. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.a)((a b)(^z.a))) 4. ==[ alpha ]==> ((^x.a)((a b)(^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 82286/7086522. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.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. ------ 82287/7086531. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(a b))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 82288/7086558. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 82289/7086585. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 82290/7086612. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 82291/7086639. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^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. ------ 82292/7086657. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 82293/7086828. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 82294/7086882. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 82295/7086909. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 82296/7086963. ------ 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. ------ 82297/7086999. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a ((^a.a) 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. ------ 82298/7087026. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 82299/7087053. ------ 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. ------ 82300/7087080. ------ 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) a))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 82301/7087107. ------ 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 (^y.y))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 82302/7087260. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 82303/7087287. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 82304/7087314. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (^z.z))) 3. ==[ beta ]==> ((a (^y.a))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.y))) REDUCED to normal form. ------ 82305/7087332. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 82306/7087341. ------ 1. ==[ start ]==> (((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))) 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. ------ 82307/7087629. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.(^x1.x1))) a)) 5. ==[ beta ]==> (a ((a (^z.(^x1.x1))) a)) 6. ==[ alpha ]==> (a ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 82308/7087746. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)(^b.(^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. ------ 82309/7087800. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 82310/7087827. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82311/7087854. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 82312/7087890. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (b a))) REDUCED to normal form. ------ 82313/7087917. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 82314/7087944. ------ 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. ------ 82315/7087971. ------ 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 (^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)))) REDUCED to normal form. ------ 82316/7087998. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))((a a)((^z.z) a))) 8. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 9. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 82317/7088025. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b)(a (a a)))) REDUCED to normal form. ------ 82318/7088052. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((a a) a)((^x.x)(^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. ------ 82319/7088205. ------ 1. ==[ start ]==> ((((a a) a) b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 82320/7088223. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((b a)(^z.z))) 3. ==[ beta ]==> (b ((b a)(^z.z))) 4. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 82321/7088250. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(^a.a))(^a.(^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. ------ 82322/7088259. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 82323/7088277. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 82324/7088313. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 82325/7088331. ------ 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.(^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. ------ 82326/7088367. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 82327/7088394. ------ 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. ------ 82328/7088412. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^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. ------ 82329/7088421. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.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. ------ 82330/7088439. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 82331/7088610. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 82332/7088817. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 82333/7088961. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (^z.(a a)))) REDUCED to normal form. ------ 82334/7088988. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(b (^y.(^z.z)))) 7. ==[ beta ]==> ((b (^y.(^z.z)))(b (^y.(^z.z)))) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 82335/7089033. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((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. ------ 82336/7089042. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 82337/7089069. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 82338/7089258. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 82339/7089501. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 82340/7089573. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b) c)) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 82341/7089690. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(c (^x1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82342/7089717. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (^y.(a a)))) REDUCED to normal form. ------ 82343/7089744. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 82344/7089771. ------ 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 a)) REDUCED to normal form. ------ 82345/7089798. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 82346/7090248. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a) c)) 3. ==[ beta ]==> (b ((^z.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 82347/7090419. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.b)(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.b)(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(a a))) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 82348/7090437. ------ 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. ------ 82349/7090446. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 82350/7090500. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^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. ------ 82351/7090518. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)(^b.(^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. ------ 82352/7090527. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.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. ------ 82353/7090554. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^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. ------ 82354/7090581. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 82355/7090626. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a) b)) REDUCED to normal form. ------ 82356/7090725. ------ 1. ==[ start ]==> (((a (a a))(a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b))(c (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a b))(c (^x.x))) REDUCED to normal form. ------ 82357/7090752. ------ 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. ------ 82358/7090779. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (a b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (a b))) REDUCED to normal form. ------ 82359/7090806. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 82360/7090833. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.y)))) 9. ==[ beta ]==> (((a a) a)(a (^y.y))) 10. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 82361/7090860. ------ 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 a))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 82362/7090914. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 82363/7091004. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 82364/7091085. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))(^b.(^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. ------ 82365/7091202. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 82366/7091229. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 82367/7091391. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.(z z)))) REDUCED to normal form. ------ 82368/7091418. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (^b.(^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. ------ 82369/7091445. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.a))) REDUCED to normal form. ------ 82370/7091490. ------ 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.(^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. ------ 82371/7091499. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a (^y1.y1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 82372/7091517. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 82373/7091697. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b (a (a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(b (a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (a (a a)))) REDUCED to normal form. ------ 82374/7091724. ------ 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)(^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. ------ 82375/7091751. ------ 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)(^x.x)) a)((a (a a))(a a))) REDUCED to normal form. ------ 82376/7091796. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82377/7091805. ------ 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 (^z.z)) a)) REDUCED to normal form. ------ 82378/7091832. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)(a (a a)))) 3. ==[ beta ]==> ((a b)((a a)(a (a a)))) REDUCED to normal form. ------ 82379/7091868. ------ 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. ------ 82380/7092003. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 82381/7092111. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 82382/7092120. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 82383/7092147. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b (^y.a))) 3. ==[ beta ]==> ((b a)(b (^y.a))) 4. ==[ alpha ]==> ((b a)(b (^x.a))) REDUCED to normal form. ------ 82384/7092174. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 82385/7092192. ------ 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)(^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. ------ 82386/7092201. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 82387/7092246. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 82388/7092282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 82389/7092309. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^a.a))(^a.(^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. ------ 82390/7092327. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a) c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 82391/7092336. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.a)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 82392/7092363. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c (^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 82393/7092390. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 82394/7092435. ------ 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))(^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. ------ 82395/7092444. ------ 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))(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. ------ 82396/7092471. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) 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 (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((b (^x.x))(a (^y.y))) REDUCED to normal form. ------ 82397/7092507. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b (a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b (a a))) 3. ==[ beta ]==> (((a a) b)(b (a a))) REDUCED to normal form. ------ 82398/7092534. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (a (^x1.x1)))) REDUCED to normal form. ------ 82399/7092561. ------ 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. ------ 82400/7092588. ------ 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. ------ 82401/7092615. ------ 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. ------ 82402/7092642. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a (a a))) REDUCED to normal form. ------ 82403/7092669. ------ 1. ==[ start ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 82404/7099191. ------ 1. ==[ start ]==> (((a b)((a a) a)) b) REDUCED to normal form. ------ 82405/7099215. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82406/7099296. ------ 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. ------ 82407/7099530. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 82408/7099722. ------ 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)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 82409/7100025. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (a (^a.(^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. ------ 82410/7100046. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 82411/7100583. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((^y.(y y))((^z.z)(a a)))((^y.(y y))((^z.z)(a a))))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((((^x.(x x))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a))))((^y1.(y1 y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> (((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a))))((^y1.(y1 y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> (((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a))))((^y1.(y1 y1))((^z1.z1)(a a)))) 7. ==[ beta ]==> ((((a a)((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a))))((^y1.(y1 y1))((^z1.z1)(a a)))) 8. ==[ alpha ]==> ((((a a)((^x.x)(a a)))((^y.(y y))((^z.z)(a a))))((^x1.(x1 x1))((^y1.y1)(a a)))) 9. ==[ beta ]==> ((((a a)(a a))((^y.(y y))((^z.z)(a a))))((^x1.(x1 x1))((^y1.y1)(a a)))) 10. ==[ alpha ]==> ((((a a)(a a))((^x.(x x))((^y.y)(a a))))((^z.(z z))((^x1.x1)(a a)))) 11. ==[ beta ]==> ((((a a)(a a))(((^y.y)(a a))((^y.y)(a a))))((^z.(z z))((^x1.x1)(a a)))) 12. ==[ alpha ]==> ((((a a)(a a))(((^x.x)(a a))((^y.y)(a a))))((^z.(z z))((^x1.x1)(a a)))) 13. ==[ beta ]==> ((((a a)(a a))((a a)((^y.y)(a a))))((^z.(z z))((^x1.x1)(a a)))) 14. ==[ alpha ]==> ((((a a)(a a))((a a)((^x.x)(a a))))((^y.(y y))((^z.z)(a a)))) 15. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))((^y.(y y))((^z.z)(a a)))) 16. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))((^x.(x x))((^y.y)(a a)))) 17. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(((^y.y)(a a))((^y.y)(a a)))) 18. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))(((^x.x)(a a))((^y.y)(a a)))) 19. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))((a a)((^y.y)(a a)))) 20. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))((a a)((^x.x)(a a)))) 21. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 82412/7100916. ------ 1. ==[ start ]==> ((^a.(^a.b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(c ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 82413/7100964. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 82414/7101531. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(y a))) REDUCED to normal form. ------ 82415/7101690. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.a))((^z.(^x1.x1))(^y1.a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a)))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82416/7102305. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 82417/7102314. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 82418/7102365. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a))(^a.(^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. ------ 82419/7102782. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 82420/7103016. ------ 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)))(^x.(a a))) REDUCED to normal form. ------ 82421/7103121. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^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. ------ 82422/7103826. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 82423/7104348. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.((z z) z))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.((z z) z))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.((z z) z))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.((z z) z))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((y y) y))) 7. ==[ beta ]==> (((a a)(a a))(^y.((y y) y))) 8. ==[ alpha ]==> (((a a)(a a))(^x.((x x) x))) REDUCED to normal form. ------ 82424/7104636. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^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)))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 82425/7104771. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.(^b.(^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. ------ 82426/7104876. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 82427/7104888. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 82428/7105212. ------ 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 (^x.a)) REDUCED to normal form. ------ 82429/7105383. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.c)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 82430/7105518. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.(^a.(^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. ------ 82431/7105581. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 82432/7105635. ------ 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. ------ 82433/7105662. ------ 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. ------ 82434/7105689. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 82435/7105716. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 82436/7105746. ------ 1. ==[ start ]==> ((a (^a.a))((a b)((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a b)((a a) a))) REDUCED to normal form. ------ 82437/7105773. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((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. ------ 82438/7105800. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)((^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. ------ 82439/7105827. ------ 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. ------ 82440/7105881. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82441/7105908. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((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. ------ 82442/7105944. ------ 1. ==[ start ]==> (((a a)(^a.(^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. ------ 82443/7105971. ------ 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.(^z1.z1)))) REDUCED to normal form. ------ 82444/7106025. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 82445/7106061. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)(a a)) REDUCED to normal form. ------ 82446/7106106. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(^y.b))) REDUCED to normal form. ------ 82447/7106133. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 82448/7106160. ------ 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. ------ 82449/7106214. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 82450/7106250. ------ 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) 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. ------ 82451/7106277. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 82452/7106304. ------ 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.(^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. ------ 82453/7106322. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a) c)) 2. ==[ alpha ]==> (((^x.(x x)) a)((b a) c)) 3. ==[ beta ]==> ((a a)((b a) c)) REDUCED to normal form. ------ 82454/7106556. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 82455/7106574. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 82456/7106691. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82457/7106718. ------ 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)(^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. ------ 82458/7106772. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a b))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(a b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 9. ==[ beta ]==> ((^y.y)(a b)) 10. ==[ alpha ]==> ((^x.x)(a b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 82459/7106826. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 7. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 8. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 82460/7106853. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(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. ------ 82461/7106916. ------ 1. ==[ start ]==> (((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))) REDUCED to normal form. ------ 82462/7106943. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b a)(^a.(^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. ------ 82463/7107006. ------ 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. ------ 82464/7107033. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 82465/7107087. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(a b))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 82466/7107114. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))((^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. ------ 82467/7107240. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b a) b)) 3. ==[ beta ]==> (((^y.y) b)((b a) b)) 4. ==[ alpha ]==> (((^x.x) b)((b a) b)) 5. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 82468/7107447. ------ 1. ==[ start ]==> ((a (^a.b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 82469/7107492. ------ 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))(^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))(^y.y))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 82470/7107636. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 82471/7107717. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)((^x1.x1)(a a)))) IRREDUCIBLE: cycle. ------ 82472/7107807. ------ 1. ==[ start ]==> (((a b) a)((b a)(^a.a))) 2. ==[ alpha ]==> (((a b) a)((b a)(^x.x))) REDUCED to normal form. ------ 82473/7107834. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 82474/7107888. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 82475/7107915. ------ 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.(^z.z)))) REDUCED to normal form. ------ 82476/7107942. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 82477/7107969. ------ 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. ------ 82478/7107996. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 82479/7108032. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^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. ------ 82480/7108059. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(b a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(b a)) REDUCED to normal form. ------ 82481/7108140. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(a a))(^b.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. ------ 82482/7108167. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 82483/7108194. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 82484/7108221. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 82485/7108311. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(b ((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 82486/7108392. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 82487/7108401. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a)) c)) 2. ==[ alpha ]==> (((a b) b)((^x.(a a)) c)) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 82488/7108446. ------ 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. ------ 82489/7108473. ------ 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)(^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. ------ 82490/7108527. ------ 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) a)(a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(a b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(a b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(a b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a b))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)(a b))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 11. ==[ beta ]==> (((^y.y) a)(a b)) 12. ==[ alpha ]==> (((^x.x) a)(a b)) 13. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 82491/7108617. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 82492/7108644. ------ 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.(^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. ------ 82493/7108680. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 82494/7108707. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 82495/7108734. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 82496/7108761. ------ 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 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. ------ 82497/7108788. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)(a b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(a b))) 5. ==[ beta ]==> ((a (a a))((^y.a)(a b))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(a b))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 82498/7108815. ------ 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.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. ------ 82499/7108833. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 82500/7108842. ------ 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 (^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 82501/7108896. ------ 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 a)) REDUCED to normal form. ------ 82502/7109067. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 82503/7109103. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 82504/7109130. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 82505/7109148. ------ 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)))) REDUCED to normal form. ------ 82506/7109175. ------ 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.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. ------ 82507/7109184. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a) d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a) d)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 82508/7109229. ------ 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)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))((^x.x)(^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. ------ 82509/7109310. ------ 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)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 82510/7109346. ------ 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))(^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. ------ 82511/7109373. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 82512/7109436. ------ 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.(^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)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 82513/7109463. ------ 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)(^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. ------ 82514/7109490. ------ 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. ------ 82515/7109517. ------ 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.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. ------ 82516/7109544. ------ 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. ------ 82517/7109571. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 82518/7109598. ------ 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.(^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. ------ 82519/7109652. ------ 1. ==[ start ]==> ((a (b a))((^b.(^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. ------ 82520/7109742. ------ 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. ------ 82521/7109823. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 82522/7109931. ------ 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. ------ 82523/7109958. ------ 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)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 82524/7109994. ------ 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. ------ 82525/7110021. ------ 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. ------ 82526/7110075. ------ 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.(z z)))) REDUCED to normal form. ------ 82527/7110102. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(^b.(^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. ------ 82528/7110129. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 82529/7110156. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.b))) REDUCED to normal form. ------ 82530/7110219. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 82531/7110246. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.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. ------ 82532/7110273. ------ 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 z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(y y)))) 7. ==[ beta ]==> ((a (a a))((^y.(y y))(^y.(y y)))) 8. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 82533/7110300. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)(^b.(^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. ------ 82534/7110354. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.b)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.b)) REDUCED to normal form. ------ 82535/7110498. ------ 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))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 82536/7110822. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(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. ------ 82537/7110876. ------ 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 ]==> ((((^y.y)(a a))((^y.y)(a a)))(a ((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^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))) 7. ==[ beta ]==> (((a a)(a a))(a ((a a) a))) REDUCED to normal form. ------ 82538/7110885. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a) a)) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 82539/7110912. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(^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. ------ 82540/7110957. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (b (((^x1.x1) a)((^y1.y1) 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. ------ 82541/7111074. ------ 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.(^y1.y1)))) REDUCED to normal form. ------ 82542/7111110. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 82543/7111137. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 82544/7111164. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^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. ------ 82545/7111191. ------ 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))(^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))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 82546/7111218. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 82547/7111245. ------ 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. ------ 82548/7111272. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 82549/7111299. ------ 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)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 82550/7111371. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 82551/7111407. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.(y y)))) 3. ==[ beta ]==> ((a b)(b (^y.(y y)))) 4. ==[ alpha ]==> ((a b)(b (^x.(x x)))) REDUCED to normal form. ------ 82552/7111416. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((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. ------ 82553/7111578. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d (a a))) 3. ==[ beta ]==> (b (d (a a))) REDUCED to normal form. ------ 82554/7111686. ------ 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) 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. ------ 82555/7111695. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 82556/7111722. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^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. ------ 82557/7111740. ------ 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. ------ 82558/7111776. ------ 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)(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.y1))) REDUCED to normal form. ------ 82559/7111821. ------ 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)(^y.y))((a a)(^y.y)))(b c)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b c)) REDUCED to normal form. ------ 82560/7111857. ------ 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. ------ 82561/7111884. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y)) b)) REDUCED to normal form. ------ 82562/7111902. ------ 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. ------ 82563/7111911. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((a a) c)) REDUCED to normal form. ------ 82564/7111938. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 82565/7111965. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1)) 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. ------ 82566/7112019. ------ 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))(^z1.z1))) REDUCED to normal form. ------ 82567/7112046. ------ 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)))) REDUCED to normal form. ------ 82568/7112082. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^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. ------ 82569/7112109. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 82570/7112136. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b (^y.y))) 3. ==[ beta ]==> ((a (b a))(b (^y.y))) 4. ==[ alpha ]==> ((a (b a))(b (^x.x))) REDUCED to normal form. ------ 82571/7112163. ------ 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. ------ 82572/7112190. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)(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. ------ 82573/7112217. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 82574/7112244. ------ 1. ==[ start ]==> (((a b)((a a) a))(a (^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 82575/7118775. ------ 1. ==[ start ]==> (((a b)((a a) a)) c) REDUCED to normal form. ------ 82576/7119051. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 82577/7119123. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 82578/7119294. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 82579/7119393. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b a) c)) 2. ==[ alpha ]==> ((^x.(x (x x)))((b a) c)) 3. ==[ beta ]==> (((b a) c)(((b a) c)((b a) c))) REDUCED to normal form. ------ 82580/7119618. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^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. ------ 82581/7119954. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(a (^a.(^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))))) REDUCED to normal form. ------ 82582/7119972. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 82583/7120176. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((((a (a a))(^y.(a a)))((a (a a))(^y.(a a))))((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((((a (a a))(^x.(a a)))((a (a a))(^y.(a a))))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 82584/7120269. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(a (^a.(^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))))) REDUCED to normal form. ------ 82585/7120509. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.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. ------ 82586/7120845. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(b a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(b a))) REDUCED to normal form. ------ 82587/7120863. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 82588/7121076. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.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. ------ 82589/7121655. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 82590/7121907. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 82591/7121958. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((((^z.z)(a a)) b)(((^z.z)(a a)) b))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(a a)) b)(((^y.y)(a a)) b))(^z.z)) 5. ==[ beta ]==> ((((a a) b)(((^y.y)(a a)) b))(^z.z)) 6. ==[ alpha ]==> ((((a a) b)(((^x.x)(a a)) 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. ------ 82592/7122141. ------ 1. ==[ start ]==> (((a b) c)(^d.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) c)(^x.(a a))) REDUCED to normal form. ------ 82593/7122168. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 82594/7122384. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 82595/7123263. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 82596/7123941. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.a))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.a))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 82597/7123950. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.((y y) y))) REDUCED to normal form. ------ 82598/7124085. ------ 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))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 82599/7124154. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82600/7124508. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.(^b.(^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. ------ 82601/7124814. ------ 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))(^y.a)) REDUCED to normal form. ------ 82602/7124832. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 82603/7124976. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 82604/7125003. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.((^a.a) a))) 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. ------ 82605/7125075. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^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. ------ 82606/7125228. ------ 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. ------ 82607/7125282. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.a)) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.a)) REDUCED to normal form. ------ 82608/7125309. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.a)) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.a)) REDUCED to normal form. ------ 82609/7125357. ------ 1. ==[ start ]==> (((^a.a) a)((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)((a b)((a a) a))) 3. ==[ beta ]==> (a ((a b)((a a) a))) REDUCED to normal form. ------ 82610/7125384. ------ 1. ==[ start ]==> (((a a) a)(((a a) a)(a b))) REDUCED to normal form. ------ 82611/7125411. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 82612/7125438. ------ 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. ------ 82613/7125465. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^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. ------ 82614/7125492. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 82615/7125510. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 82616/7125519. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)((^a.a) 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. ------ 82617/7125564. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 82618/7125591. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 82619/7125609. ------ 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. ------ 82620/7125636. ------ 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)))) REDUCED to normal form. ------ 82621/7125663. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^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. ------ 82622/7125672. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 82623/7125699. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 82624/7125753. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 82625/7125780. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 82626/7125834. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 82627/7125852. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 82628/7125879. ------ 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 (^y.y)))(b a)) REDUCED to normal form. ------ 82629/7125906. ------ 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)) REDUCED to normal form. ------ 82630/7125933. ------ 1. ==[ start ]==> ((a (a (a a)))((b a) c)) REDUCED to normal form. ------ 82631/7125969. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 82632/7126023. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 7. ==[ beta ]==> ((^y.b)(^z.a)) 8. ==[ alpha ]==> ((^x.b)(^y.a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 82633/7126077. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 82634/7126158. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^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. ------ 82635/7126203. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z) 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. ------ 82636/7126230. ------ 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. ------ 82637/7126248. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((b a)(a (^y.y)))) 3. ==[ beta ]==> ((b b)((b a)(a (^y.y)))) 4. ==[ alpha ]==> ((b b)((b a)(a (^x.x)))) REDUCED to normal form. ------ 82638/7126383. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^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. ------ 82639/7126410. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))((^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. ------ 82640/7126437. ------ 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)(^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. ------ 82641/7126464. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 82642/7126491. ------ 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. ------ 82643/7126509. ------ 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 (^y.y))(a (^y.y)))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 82644/7126581. ------ 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))) 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. ------ 82645/7126608. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 82646/7126635. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a 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. ------ 82647/7126689. ------ 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)((^y.y)(^z.b))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 9. ==[ beta ]==> ((a a)(^y.b)) 10. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 82648/7126716. ------ 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. ------ 82649/7126752. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.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. ------ 82650/7126806. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((^z.z)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((^x.x)(a (^y.(^z.z))))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 82651/7126914. ------ 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))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.(z1 z1)))) 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. ------ 82652/7127049. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 82653/7127121. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 82654/7127220. ------ 1. ==[ start ]==> (((^a.b) a)((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)((a b)(a (a a)))) 3. ==[ beta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 82655/7127382. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(b a))) REDUCED to normal form. ------ 82656/7127400. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 82657/7127508. ------ 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. ------ 82658/7127589. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(y y))(a b))) 3. ==[ beta ]==> (b ((^y.(y y))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 82659/7127616. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.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. ------ 82660/7127634. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 82661/7127688. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((b a) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((b a) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a) a)) 5. ==[ beta ]==> ((a (^y.y))((b a) a)) 6. ==[ alpha ]==> ((a (^x.x))((b a) a)) REDUCED to normal form. ------ 82662/7127715. ------ 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. ------ 82663/7127832. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 82664/7127859. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.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. ------ 82665/7127913. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^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. ------ 82666/7128003. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a b) b)((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a b) b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 82667/7128030. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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))) 5. ==[ beta ]==> (((a a) a)((a b) a)) REDUCED to normal form. ------ 82668/7128057. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 82669/7128084. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 82670/7128138. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 82671/7128165. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^y.y))((^z.z)(a a)))((a (^y.y))((^z.z)(a a)))) 8. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.z))((^x1.x1)(a a)))) 9. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))((^x1.x1)(a a)))) 10. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))((^z.z)(a a)))) 11. ==[ beta ]==> (((a (^x.x))(a a))((a (^y.y))(a a))) REDUCED to normal form. ------ 82672/7128192. ------ 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. ------ 82673/7128282. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a b)(^b.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. ------ 82674/7128309. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 82675/7128336. ------ 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.(^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. ------ 82676/7128390. ------ 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) a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.b))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.b))) 7. ==[ beta ]==> ((a (a a))(a (^y.b))) 8. ==[ alpha ]==> ((a (a a))(a (^x.b))) REDUCED to normal form. ------ 82677/7128417. ------ 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.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 82678/7128444. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 82679/7128471. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a 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)) REDUCED to normal form. ------ 82680/7128498. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a) b)) REDUCED to normal form. ------ 82681/7128534. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b)(^b.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. ------ 82682/7128669. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 82683/7128678. ------ 1. ==[ start ]==> (((a b) c)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) c)(b (a a))) REDUCED to normal form. ------ 82684/7128705. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 82685/7128732. ------ 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))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 82686/7128786. ------ 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.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(((a a) a) a)) REDUCED to normal form. ------ 82687/7128813. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(a (a a)))) 7. ==[ beta ]==> ((a (^x.b))(a (a a))) REDUCED to normal form. ------ 82688/7128867. ------ 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.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. ------ 82689/7128894. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 82690/7128912. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b (^z.(a a)))) 3. ==[ beta ]==> (b (b (^z.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 82691/7128921. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 82692/7129011. ------ 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. ------ 82693/7129038. ------ 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)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (((a (^x.x))(a a))(^z.(z z))) 8. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y y))) REDUCED to normal form. ------ 82694/7129065. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))(^b.(^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. ------ 82695/7129119. ------ 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.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.b))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.b))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 9. ==[ beta ]==> ((a (^y.y))(^z.b)) 10. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 82696/7129146. ------ 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. ------ 82697/7129173. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 82698/7129200. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a b) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a b) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a b) b)) REDUCED to normal form. ------ 82699/7129344. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^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. ------ 82700/7129488. ------ 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. ------ 82701/7129533. ------ 1. ==[ start ]==> (((^a.a)(b a))(c (^c.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. ------ 82702/7129560. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 82703/7129614. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.b)(a a))) 3. ==[ beta ]==> (((a b)(a b))((^y.b)(a a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.b)(a a))) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 82704/7129695. ------ 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. ------ 82705/7129803. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 82706/7129821. ------ 1. ==[ start ]==> (((a a)(b a))(((a a) a) b)) REDUCED to normal form. ------ 82707/7129983. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.b) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.b) a)) 3. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 82708/7130037. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1)) c)) 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. ------ 82709/7130082. ------ 1. ==[ start ]==> (((^a.(^a.(^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))(((^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. ------ 82710/7130181. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(a a))) 5. ==[ beta ]==> ((a a)((^z.a)(a a))) 6. ==[ alpha ]==> ((a a)((^x.a)(a a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 82711/7130262. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 82712/7130370. ------ 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))(^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. ------ 82713/7130397. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.a)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 82714/7130424. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 82715/7130487. ------ 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. ------ 82716/7130514. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 82717/7130568. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 82718/7130595. ------ 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 (^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 82719/7130622. ------ 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)))) 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. ------ 82720/7130667. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 82721/7130694. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 82722/7130712. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.a))) REDUCED to normal form. ------ 82723/7130739. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 82724/7130766. ------ 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)))) REDUCED to normal form. ------ 82725/7130793. ------ 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))(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. ------ 82726/7130820. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)(a b))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a b))((a (a a)) b)) 5. ==[ beta ]==> ((a b)((a (a a)) b)) REDUCED to normal form. ------ 82727/7130928. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) 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. ------ 82728/7130973. ------ 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. ------ 82729/7130982. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 82730/7131018. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(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. ------ 82731/7131045. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a (^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(a (^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 82732/7131180. ------ 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))) 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. ------ 82733/7131297. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (a a))) REDUCED to normal form. ------ 82734/7131324. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 82735/7131342. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b (^z.a))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.a))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.a))) 5. ==[ beta ]==> (b (b (^y.a))) 6. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 82736/7131351. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)((^a.a) 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. ------ 82737/7131369. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 82738/7131423. ------ 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.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(a (^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. ------ 82739/7131486. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c (a a))) REDUCED to normal form. ------ 82740/7131504. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^a.a))(^a.(^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. ------ 82741/7131513. ------ 1. ==[ start ]==> (((a b)(^c.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (a (^y.y)))) REDUCED to normal form. ------ 82742/7131540. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 82743/7131567. ------ 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))) REDUCED to normal form. ------ 82744/7131612. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(a (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82745/7131648. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b b)) 3. ==[ beta ]==> ((b (^y.y))(b b)) 4. ==[ alpha ]==> ((b (^x.x))(b b)) REDUCED to normal form. ------ 82746/7131684. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y)) a)) 3. ==[ beta ]==> (((a a) b)((a (^y.y)) a)) 4. ==[ alpha ]==> (((a a) b)((a (^x.x)) a)) REDUCED to normal form. ------ 82747/7131711. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a a) b)) REDUCED to normal form. ------ 82748/7131738. ------ 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. ------ 82749/7131765. ------ 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. ------ 82750/7131792. ------ 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)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(^z.z))) 5. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.y))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 82751/7131819. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a) a)) REDUCED to normal form. ------ 82752/7131846. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a) a)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x) a)) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 82753/7131872. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^x.((x x)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (^x.((x x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (^x.((x x)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 82754/7131873. ------ 1. ==[ start ]==> (a (((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a (((^x.x)(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. ------ 82755/7138413. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^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) REDUCED to normal form. ------ 82756/7138419. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 82757/7138446. ------ 1. ==[ start ]==> ((^a.(a a))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))((a b)((a a) a))) 3. ==[ beta ]==> (((a b)((a a) a))((a b)((a a) a))) REDUCED to normal form. ------ 82758/7138473. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 82759/7138554. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((((^z.z) a)(b a))(^y.y)) 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. ------ 82760/7138671. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 82761/7138914. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 82762/7139286. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x)) a)(^y.b)) REDUCED to normal form. ------ 82763/7139364. ------ 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))((^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. ------ 82764/7139601. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 82765/7139889. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a (^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 82766/7140204. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.(a (^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))))) REDUCED to normal form. ------ 82767/7140309. ------ 1. ==[ start ]==> ((^a.(a b))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))((a b)(a (a a)))) 3. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 82768/7140492. ------ 1. ==[ start ]==> (((a b) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 82769/7140696. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.((((^z.z) a)(^x1.(a a)))(((^z.z) a)(^x1.(a a))))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(^z.(a a)))(((^x1.x1) a)(^y1.(a a))))) 5. ==[ beta ]==> (^x.((a (^z.(a a)))(((^x1.x1) a)(^y1.(a a))))) 6. ==[ alpha ]==> (^x.((a (^y.(a a)))(((^z.z) a)(^x1.(a a))))) 7. ==[ beta ]==> (^x.((a (^y.(a a)))(a (^x1.(a a))))) 8. ==[ alpha ]==> (^x.((a (^y.(a a)))(a (^z.(a a))))) REDUCED to normal form. ------ 82770/7141788. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 82771/7142679. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 82772/7142883. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a b) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a b) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 82773/7143066. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(a b))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(x b))) REDUCED to normal form. ------ 82774/7143171. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((((^x1.x1) a)(a (a a)))(^y.(^z.z))) 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. ------ 82775/7143570. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 82776/7143774. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a))(^a.(^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. ------ 82777/7144011. ------ 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)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^y.(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 82778/7144089. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 82779/7144461. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) REDUCED to normal form. ------ 82780/7144542. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.((^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. ------ 82781/7144623. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.(^b.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. ------ 82782/7144695. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82783/7144704. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.y1))) REDUCED to normal form. ------ 82784/7144767. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.c)) 3. ==[ beta ]==> (((a a) b)(^y.c)) 4. ==[ alpha ]==> (((a a) b)(^x.c)) REDUCED to normal form. ------ 82785/7144821. ------ 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)))) REDUCED to normal form. ------ 82786/7144902. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.b)) REDUCED to normal form. ------ 82787/7144929. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.(a a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(x x))) REDUCED to normal form. ------ 82788/7144956. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^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)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 82789/7144968. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))((^a.a)(^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. ------ 82790/7144995. ------ 1. ==[ start ]==> ((a (a a))((a b)((a a) a))) REDUCED to normal form. ------ 82791/7145022. ------ 1. ==[ start ]==> ((a b)(((a a) a)(a b))) REDUCED to normal form. ------ 82792/7145076. ------ 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. ------ 82793/7145103. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (b a))) REDUCED to normal form. ------ 82794/7145121. ------ 1. ==[ start ]==> (((a a) b)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 82795/7145148. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.y))) REDUCED to normal form. ------ 82796/7145193. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 82797/7145202. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.b)(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. ------ 82798/7145220. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 82799/7145301. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 82800/7145328. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 82801/7145337. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 82802/7145382. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(a a)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(a a)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(a a)))) 9. ==[ beta ]==> (a (^y.(a a))) 10. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 82803/7145391. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 82804/7145418. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^y1.y1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))((a a)(^y1.y1)))) REDUCED to normal form. ------ 82805/7145445. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(b a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 82806/7145463. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 82807/7145553. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.(^a.a)))(^a.(^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. ------ 82808/7145571. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a) c)) 3. ==[ beta ]==> ((^y.(y y))((b a) c)) 4. ==[ alpha ]==> ((^x.(x x))((b a) c)) 5. ==[ beta ]==> (((b a) c)((b a) c)) REDUCED to normal form. ------ 82809/7145634. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))(^b.(^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. ------ 82810/7145661. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 82811/7145715. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 82812/7145805. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 82813/7145832. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(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. ------ 82814/7145859. ------ 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. ------ 82815/7145886. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 82816/7145913. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 82817/7145922. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) d)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) d)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) d)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82818/7146120. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.a))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 82819/7146147. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 82820/7146174. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 82821/7146381. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.x2)))) 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. ------ 82822/7146435. ------ 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)(^y.a))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.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. ------ 82823/7146471. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.y1))) 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. ------ 82824/7146552. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 82825/7146579. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 82826/7146606. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 82827/7146633. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82828/7146660. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 82829/7146723. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (b a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (b a))) REDUCED to normal form. ------ 82830/7146750. ------ 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. ------ 82831/7146777. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((b a)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((b a)(a a))) 3. ==[ beta ]==> (((a (a a)) a)((b a)(a a))) REDUCED to normal form. ------ 82832/7146804. ------ 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)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 82833/7146831. ------ 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))((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. ------ 82834/7146858. ------ 1. ==[ start ]==> ((a (a b))((a b)(a (a a)))) REDUCED to normal form. ------ 82835/7147038. ------ 1. ==[ start ]==> (((a b) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 82836/7147056. ------ 1. ==[ start ]==> (((^a.a)(a b))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((b a)(^y.y))) 3. ==[ beta ]==> ((a b)((b a)(^y.y))) 4. ==[ alpha ]==> ((a b)((b a)(^x.x))) REDUCED to normal form. ------ 82837/7147083. ------ 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.(^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. ------ 82838/7147119. ------ 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.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. ------ 82839/7147137. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b)(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.(x x)))) REDUCED to normal form. ------ 82840/7147146. ------ 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. ------ 82841/7147173. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 82842/7147200. ------ 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. ------ 82843/7147218. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))((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. ------ 82844/7147227. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a b)(^x.x))((a b)(a b))) REDUCED to normal form. ------ 82845/7147245. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) 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. ------ 82846/7147416. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 82847/7147623. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 82848/7147821. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 82849/7148064. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^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. ------ 82850/7148163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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. ------ 82851/7148307. ------ 1. ==[ start ]==> (((a b) c)((^a.(^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. ------ 82852/7148334. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(^c.(^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)))) 5. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 82853/7148379. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) b)) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 82854/7148406. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^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. ------ 82855/7148550. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.(a a)))) REDUCED to normal form. ------ 82856/7148604. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 82857/7149054. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.b) b)) 3. ==[ beta ]==> (b ((^z.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 82858/7149225. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 82859/7149243. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a b)(^y.y))) 3. ==[ beta ]==> (((a b)(a b))((a b)(^y.y))) 4. ==[ alpha ]==> (((a b)(a b))((a b)(^x.x))) REDUCED to normal form. ------ 82860/7149252. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.b)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 82861/7149306. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^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. ------ 82862/7149324. ------ 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. ------ 82863/7149333. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 82864/7149360. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.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. ------ 82865/7149387. ------ 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.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. ------ 82866/7149432. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a b) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b) a)) REDUCED to normal form. ------ 82867/7149585. ------ 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. ------ 82868/7149612. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (a b))) REDUCED to normal form. ------ 82869/7149639. ------ 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))) 5. ==[ beta ]==> (((a a) a)(((a a) a)(a a))) REDUCED to normal form. ------ 82870/7149666. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 82871/7149720. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (a (a a)))) REDUCED to normal form. ------ 82872/7149810. ------ 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 a))(^y.(a a)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((^x.(a 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. ------ 82873/7149891. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.(y1 y1)))) 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. ------ 82874/7149999. ------ 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))(((^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. ------ 82875/7150008. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 82876/7150035. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.a)(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 82877/7150116. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.a)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 82878/7150188. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> (b ((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 82879/7150251. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 82880/7150296. ------ 1. ==[ start ]==> (((^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))) 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. ------ 82881/7150305. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(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. ------ 82882/7150323. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 82883/7150368. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c d)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c d)) REDUCED to normal form. ------ 82884/7150503. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c ((^z.z) a))) 3. ==[ beta ]==> (((a b)(^y.y))(c ((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(c ((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.x))(c a)) REDUCED to normal form. ------ 82885/7150530. ------ 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. ------ 82886/7150557. ------ 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.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 82887/7150611. ------ 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. ------ 82888/7150638. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a b)((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a b)((a (^x.x)) a)) REDUCED to normal form. ------ 82889/7150809. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 82890/7150917. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 82891/7150953. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c (^a.(^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. ------ 82892/7150971. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) c)) 5. ==[ beta ]==> (b ((^y.(^z.z)) c)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 82893/7150980. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 82894/7151007. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.(y1 y1)))) REDUCED to normal form. ------ 82895/7151052. ------ 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 (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 82896/7151088. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)((^z.z) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 82897/7151115. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 82898/7151133. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (^y.y)) b)) 3. ==[ beta ]==> (b ((a (^y.y)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 82899/7151142. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^a.a))(^a.(^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. ------ 82900/7151169. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 82901/7151250. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.a))) REDUCED to normal form. ------ 82902/7151277. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(^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. ------ 82903/7151313. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a c)) 3. ==[ beta ]==> (((a a) b)(a c)) REDUCED to normal form. ------ 82904/7151340. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b (a a))) REDUCED to normal form. ------ 82905/7151367. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(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. ------ 82906/7151394. ------ 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. ------ 82907/7151421. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(b a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b a)) 5. ==[ beta ]==> (((^y.y)(a a))(b a)) 6. ==[ alpha ]==> (((^x.x)(a a))(b a)) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 82908/7151448. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a b)) REDUCED to normal form. ------ 82909/7151475. ------ 1. ==[ start ]==> (((a b)((a a) a))(a (a a))) REDUCED to normal form. ------ 82910/7151502. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(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)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 82911/7158051. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a))) 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)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 82912/7158075. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82913/7158156. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 82914/7158609. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 82915/7158660. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.(^a.a)))(^a.(^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. ------ 82916/7158885. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 82917/7158933. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 82918/7159443. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> ((((^x.(^y.y))(a b))((^z.(^x1.x1))(a b)))((^y1.(^z1.z1))(a b))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a b)))((^y1.(^z1.z1))(a b))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a b)))((^x1.(^y1.y1))(a b))) 7. ==[ beta ]==> (((^y.(^z.z))(a b))((^x1.(^y1.y1))(a b))) 8. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a b))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 11. ==[ beta ]==> ((^y.(^z.z))(a b)) 12. ==[ alpha ]==> ((^x.(^y.y))(a b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82919/7159851. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 82920/7160130. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(b a))) 3. ==[ beta ]==> (b (^z.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 82921/7160418. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(b 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 (^y.y))(^z.(z a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y a))) REDUCED to normal form. ------ 82922/7160940. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^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. ------ 82923/7161201. ------ 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)))) REDUCED to normal form. ------ 82924/7161903. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 82925/7161981. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a)(^b.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. ------ 82926/7162713. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 82927/7163523. ------ 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)(^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. ------ 82928/7163658. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(^b.(^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. ------ 82929/7163736. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c (^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c (^z.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 82930/7164018. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 82931/7164189. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 82932/7164270. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.c)) 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. ------ 82933/7164351. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.c)) REDUCED to normal form. ------ 82934/7164414. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((a a) b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 82935/7164468. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.(^a.(^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. ------ 82936/7164522. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^a.(^a.(^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. ------ 82937/7164549. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(a a))) REDUCED to normal form. ------ 82938/7164576. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 82939/7164603. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 82940/7164633. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a))((^a.a)(^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. ------ 82941/7164660. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 82942/7164687. ------ 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. ------ 82943/7164714. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 82944/7164768. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82945/7164795. ------ 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 (^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. ------ 82946/7164822. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> ((a (^y.y))((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. ------ 82947/7164858. ------ 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 (^x.x))(^y.y))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 82948/7164894. ------ 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. ------ 82949/7164912. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 82950/7164993. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)(^y.a))) REDUCED to normal form. ------ 82951/7165020. ------ 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. ------ 82952/7165047. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(a a))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 82953/7165137. ------ 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) 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. ------ 82954/7165164. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 82955/7165191. ------ 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. ------ 82956/7165209. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 82957/7165218. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.(^a.a)))(^a.(^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. ------ 82958/7165443. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (b a))) REDUCED to normal form. ------ 82959/7165461. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 82960/7165488. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(^b.b))) 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))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 82961/7165533. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((b b)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((b b)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 82962/7165578. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 82963/7165605. ------ 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)(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. ------ 82964/7165659. ------ 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. ------ 82965/7165713. ------ 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. ------ 82966/7165740. ------ 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)(^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. ------ 82967/7165794. ------ 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 (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 82968/7165830. ------ 1. ==[ start ]==> ((((^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))) 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)) REDUCED to normal form. ------ 82969/7165920. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a (a a)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 82970/7165947. ------ 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. ------ 82971/7166001. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 82972/7166127. ------ 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)) REDUCED to normal form. ------ 82973/7166154. ------ 1. ==[ start ]==> ((((a a) a) a)((b a) b)) REDUCED to normal form. ------ 82974/7166352. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)(^c.(^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. ------ 82975/7166406. ------ 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))))) 5. ==[ beta ]==> ((a (a (a a)))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 82976/7166523. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.b)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.b)((a b)(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 82977/7166604. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(a b))) IRREDUCIBLE: cycle. ------ 82978/7166685. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)(b a))) 3. ==[ beta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 82979/7166721. ------ 1. ==[ start ]==> (((a a)(^a.b))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((b a)(^y.y))) REDUCED to normal form. ------ 82980/7166775. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 82981/7166802. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 82982/7166829. ------ 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.(^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 REDUCED to normal form. ------ 82983/7166883. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 82984/7166919. ------ 1. ==[ start ]==> (((a a)(a b))((^b.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. ------ 82985/7166946. ------ 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)(^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. ------ 82986/7166973. ------ 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 (^y.y))((^z.z)(b a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(b a))) 7. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 82987/7167054. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(a a))(^b.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. ------ 82988/7167081. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 82989/7167198. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c ((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)(c ((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(c ((^y.y)(a a)))) 7. ==[ beta ]==> (c ((^y.y)(a a))) 8. ==[ alpha ]==> (c ((^x.x)(a a))) 9. ==[ beta ]==> (c (a a)) REDUCED to normal form. ------ 82990/7167279. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 82991/7167288. ------ 1. ==[ start ]==> (((a b) b)((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 82992/7167315. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a)) c)) 3. ==[ beta ]==> (((a a) a)((^y.(a a)) c)) 4. ==[ alpha ]==> (((a a) a)((^x.(a a)) c)) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 82993/7167333. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a 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. ------ 82994/7167360. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 82995/7167414. ------ 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 a))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((a a) a))) 9. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 10. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 11. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 82996/7167495. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 82997/7167531. ------ 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.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 82998/7167567. ------ 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)(a a))((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 82999/7167594. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 83000/7167648. ------ 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)(^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. ------ 83001/7167675. ------ 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 z))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))((a a) a))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))((a a) a))) 7. ==[ beta ]==> ((a (a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 83002/7167702. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)(a b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)(a b))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)(a b))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 83003/7167720. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 83004/7167729. ------ 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.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. ------ 83005/7167756. ------ 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)(^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. ------ 83006/7167954. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 83007/7168035. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 83008/7168062. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((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. ------ 83009/7168071. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 83010/7168098. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a) d)) 3. ==[ beta ]==> ((a (^y.b))((^z.a) d)) 4. ==[ alpha ]==> ((a (^x.b))((^y.a) d)) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 83011/7168116. ------ 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)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a (a a)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(a (a a))) REDUCED to normal form. ------ 83012/7168197. ------ 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 ((a (^z.z))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 83013/7168260. ------ 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))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 83014/7168296. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 83015/7168350. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^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. ------ 83016/7168377. ------ 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)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))((a a) a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)((^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))) 9. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 10. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 83017/7168404. ------ 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)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a) a))) 7. ==[ beta ]==> ((^y.y)((^z.a)((a a) a))) 8. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 9. ==[ beta ]==> ((^y.a)((a a) a)) 10. ==[ alpha ]==> ((^x.a)((a a) a)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 83018/7168431. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^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. ------ 83019/7168458. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 83020/7168485. ------ 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))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 83021/7168512. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.b)(^a.(^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. ------ 83022/7168539. ------ 1. ==[ start ]==> ((a (b a))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 83023/7168629. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c ((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c ((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c ((a a) a))) 5. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 83024/7168710. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 83025/7168818. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b a)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(((^x.x) 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. ------ 83026/7168845. ------ 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.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. ------ 83027/7168908. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a b)(^y.y))) REDUCED to normal form. ------ 83028/7168962. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 83029/7168989. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 83030/7169016. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)(^b.(^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. ------ 83031/7169106. ------ 1. ==[ start ]==> (((a a)(b a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 83032/7169160. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a 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. ------ 83033/7169187. ------ 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 y)))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 83034/7169214. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)(^b.(^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. ------ 83035/7169268. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.b))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.b)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.b)) REDUCED to normal form. ------ 83036/7169385. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 83037/7169664. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^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. ------ 83038/7169763. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b ((^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. ------ 83039/7169799. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 83040/7169844. ------ 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. ------ 83041/7169853. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z)) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(c c)) REDUCED to normal form. ------ 83042/7169961. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 83043/7169997. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 83044/7170024. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 83045/7170051. ------ 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.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. ------ 83046/7170078. ------ 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. ------ 83047/7170105. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(^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. ------ 83048/7170132. ------ 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. ------ 83049/7170159. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 83050/7170186. ------ 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 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)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 83051/7170213. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 83052/7170258. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 83053/7170294. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c (^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c (^y.a))) 3. ==[ beta ]==> ((a b)(c (^y.a))) 4. ==[ alpha ]==> ((a b)(c (^x.a))) REDUCED to normal form. ------ 83054/7170303. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))((^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 (^x.x)) a) REDUCED to normal form. ------ 83055/7170330. ------ 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 (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. ------ 83056/7170573. ------ 1. ==[ start ]==> (((^a.(^a.(^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))(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. ------ 83057/7170582. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 83058/7170609. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a) b)) 3. ==[ beta ]==> ((b a)((^y.a) b)) 4. ==[ alpha ]==> ((b a)((^x.a) b)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 83059/7170627. ------ 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)))) REDUCED to normal form. ------ 83060/7170636. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 83061/7170654. ------ 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)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 83062/7170744. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.a))) 5. ==[ beta ]==> ((^y.(a a))((a a)(^z.a))) 6. ==[ alpha ]==> ((^x.(a a))((a a)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 83063/7170771. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 83064/7170789. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c (a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 83065/7170798. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y)) b)) REDUCED to normal form. ------ 83066/7170825. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 83067/7170852. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 83068/7170897. ------ 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. ------ 83069/7170933. ------ 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))) REDUCED to normal form. ------ 83070/7170969. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a) b)(a (^y.y))) 6. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 83071/7170996. ------ 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))(^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. ------ 83072/7171023. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)(^a.(^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. ------ 83073/7171050. ------ 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. ------ 83074/7171077. ------ 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 (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(a (^x1.(^y1.y1)))) 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. ------ 83075/7171104. ------ 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. ------ 83076/7171131. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 83077/7171158. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(a (^a.a))) 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)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 83078/7175643. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(a y1))) 3. ==[ eta ]==> ((^x.(^y.(^z.(^x1.x1)))) a) 4. ==[ beta ]==> (^y.(^z.(^x1.x1))) 5. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 83079/7177992. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(a a))) 3. ==[ beta ]==> (^y.((^z.z)(a a))) 4. ==[ alpha ]==> (^x.((^y.y)(a a))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 83080/7178064. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^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. ------ 83081/7178235. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(b a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 83082/7178334. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (((a (^y.(^z.z))) b)(((a (^y.(^z.z))) b)((a (^y.(^z.z))) b))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a (^z.(^x1.x1))) b)((a (^y1.(^z1.z1))) b))) REDUCED to normal form. ------ 83083/7179117. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.b))(((^y.y)(^z.z))(^x1.b)))(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.b)))(((^x2.x2)(^y2.y2))(^z2.b))) 5. ==[ beta ]==> ((((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(^z1.b)))(((^x2.x2)(^y2.y2))(^z2.b))) 6. ==[ alpha ]==> ((((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.b)))(((^z1.z1)(^x2.x2))(^y2.b))) 7. ==[ beta ]==> (((^y.b)(((^z.z)(^x1.x1))(^y1.b)))(((^z1.z1)(^x2.x2))(^y2.b))) 8. ==[ alpha ]==> (((^x.b)(((^y.y)(^z.z))(^x1.b)))(((^y1.y1)(^z1.z1))(^x2.b))) 9. ==[ beta ]==> (b (((^y1.y1)(^z1.z1))(^x2.b))) 10. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.b))) 11. ==[ beta ]==> (b ((^y.y)(^z.b))) 12. ==[ alpha ]==> (b ((^x.x)(^y.b))) 13. ==[ beta ]==> (b (^y.b)) 14. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 83084/7179450. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 83085/7179813. ------ 1. ==[ start ]==> (((a b) a)(^c.(b a))) 2. ==[ alpha ]==> (((a b) a)(^x.(b a))) REDUCED to normal form. ------ 83086/7179831. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 83087/7180017. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(a b))) 3. ==[ beta ]==> (^y.(((^z.(z z))(a b))((^z.(z z))(a b)))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(a b))((^z.(z z))(a b)))) 5. ==[ beta ]==> (^x.(((a b)(a b))((^z.(z z))(a b)))) 6. ==[ alpha ]==> (^x.(((a b)(a b))((^y.(y y))(a b)))) 7. ==[ beta ]==> (^x.(((a b)(a b))((a b)(a b)))) REDUCED to normal form. ------ 83088/7180623. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 83089/7180899. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((((a a)(^z.z)) a)(((a a)(^z.z)) a))(^y.y)) 4. ==[ alpha ]==> (((((a a)(^x.x)) a)(((a a)(^y.y)) a))(^z.z)) REDUCED to normal form. ------ 83090/7181136. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 83091/7181577. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 83092/7181655. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a) c)) 2. ==[ alpha ]==> ((^x.(b x))(((a a) a) c)) 3. ==[ eta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 83093/7182000. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(a b))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(a b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a b))) REDUCED to normal form. ------ 83094/7182018. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(x x)))) REDUCED to normal form. ------ 83095/7182204. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(a b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 83096/7182207. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(a x1))) 3. ==[ eta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 83097/7182585. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.b))) 5. ==[ beta ]==> ((a a)(^z.(^x1.b))) 6. ==[ alpha ]==> ((a a)(^x.(^y.b))) REDUCED to normal form. ------ 83098/7182918. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((z z) z))) 5. ==[ beta ]==> ((^y.b)(^z.((z z) z))) 6. ==[ alpha ]==> ((^x.b)(^y.((y y) y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 83099/7183095. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^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. ------ 83100/7183410. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 83101/7183584. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 83102/7183692. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 83103/7183701. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(z (z z)))) REDUCED to normal form. ------ 83104/7183971. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 83105/7184088. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.(^a.(^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. ------ 83106/7184142. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.b)) 3. ==[ beta ]==> ((a (b a))(^y.b)) 4. ==[ alpha ]==> ((a (b a))(^x.b)) REDUCED to normal form. ------ 83107/7184196. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.b)) 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. ------ 83108/7184223. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 83109/7184250. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.a)) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.a)) REDUCED to normal form. ------ 83110/7184277. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^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)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 83111/7184325. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(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 ((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. ------ 83112/7184352. ------ 1. ==[ start ]==> (((a a) a)((a b)((a a) a))) REDUCED to normal form. ------ 83113/7184379. ------ 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. ------ 83114/7184406. ------ 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 ((^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. ------ 83115/7184433. ------ 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. ------ 83116/7184460. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a a) b)(a (b a))) REDUCED to normal form. ------ 83117/7184487. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 83118/7184505. ------ 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))) REDUCED to normal form. ------ 83119/7184514. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 83120/7184559. ------ 1. ==[ start ]==> ((a (^b.a))((^b.b)(a a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(a a))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 83121/7184577. ------ 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. ------ 83122/7184604. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(^y.a))) REDUCED to normal form. ------ 83123/7184631. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 83124/7184640. ------ 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. ------ 83125/7184667. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))((^z1.z1)(^x2.x2)))) 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. ------ 83126/7184748. ------ 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.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. ------ 83127/7184802. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(b a))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 83128/7184820. ------ 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))))) 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. ------ 83129/7184847. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 83130/7184874. ------ 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. ------ 83131/7184901. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 83132/7184910. ------ 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)))(^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. ------ 83133/7184991. ------ 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 ]==> (((^y.y)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 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 a) REDUCED to normal form. ------ 83134/7185018. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.a))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 83135/7185198. ------ 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. ------ 83136/7185216. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((b b)((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> ((b b)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 83137/7185225. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 83138/7185351. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 83139/7185378. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(a b))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(a b))) 7. ==[ beta ]==> (a ((^y.y)(a b))) 8. ==[ alpha ]==> (a ((^x.x)(a b))) 9. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 83140/7185405. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 83141/7185432. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 83142/7185459. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(b a))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(b a))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(b a))) REDUCED to normal form. ------ 83143/7185477. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 83144/7185486. ------ 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.(^x1.x1))))) REDUCED to normal form. ------ 83145/7185549. ------ 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)))) 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. ------ 83146/7185576. ------ 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. ------ 83147/7185603. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(y y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 83148/7185630. ------ 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. ------ 83149/7185684. ------ 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))((^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. ------ 83150/7185720. ------ 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.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1)(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. ------ 83151/7185774. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^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. ------ 83152/7185936. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 83153/7186017. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.b))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 83154/7186116. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 83155/7186188. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 83156/7186350. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 83157/7186377. ------ 1. ==[ start ]==> (((a b) a)((a a)(b a))) REDUCED to normal form. ------ 83158/7186395. ------ 1. ==[ start ]==> (((^a.a)(a b))(a (^a.(^a.(^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. ------ 83159/7186476. ------ 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.z) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 83160/7186557. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 83161/7186584. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a (^x.(a a)))((a b)(a b))) REDUCED to normal form. ------ 83162/7186602. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a b))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a b))(a (^x.(a a)))) REDUCED to normal form. ------ 83163/7186683. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((b a) a)) REDUCED to normal form. ------ 83164/7186710. ------ 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)) REDUCED to normal form. ------ 83165/7186800. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 83166/7186827. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 83167/7186881. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.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. ------ 83168/7186971. ------ 1. ==[ start ]==> (((a b) b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b) b)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 83169/7186998. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((^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. ------ 83170/7187025. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a b) a)) REDUCED to normal form. ------ 83171/7187052. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 83172/7187106. ------ 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))((a a) a))) REDUCED to normal form. ------ 83173/7187133. ------ 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) a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(a b))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(a b))) 7. ==[ beta ]==> ((((^y.y) a)(a b))(((^y.y) a)(a b))) 8. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)(a b))) 9. ==[ beta ]==> ((a (a b))(((^y.y) a)(a b))) 10. ==[ alpha ]==> ((a (a b))(((^x.x) a)(a b))) 11. ==[ beta ]==> ((a (a b))(a (a b))) REDUCED to normal form. ------ 83174/7187160. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 83175/7187178. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 83176/7187187. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 83177/7187250. ------ 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.(^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. ------ 83178/7187277. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b)(^y.a))) REDUCED to normal form. ------ 83179/7187304. ------ 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. ------ 83180/7187331. ------ 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.(^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. ------ 83181/7187385. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) 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. ------ 83182/7187412. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 83183/7187466. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 83184/7187502. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(a a))(^a.(^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. ------ 83185/7187637. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 83186/7187646. ------ 1. ==[ start ]==> (((a b) c)(c (a b))) REDUCED to normal form. ------ 83187/7187673. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 83188/7187700. ------ 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. ------ 83189/7187754. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 83190/7187781. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.b))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.b))(((a a) a) a)) REDUCED to normal form. ------ 83191/7187835. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83192/7187862. ------ 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. ------ 83193/7187880. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (^z.b))) 3. ==[ beta ]==> (b (c (^z.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 83194/7187889. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(a b))) REDUCED to normal form. ------ 83195/7187916. ------ 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)(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. ------ 83196/7187979. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 83197/7188006. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a) 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. ------ 83198/7188033. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 83199/7188060. ------ 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.(^y.y)))) REDUCED to normal form. ------ 83200/7188114. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 83201/7188141. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 83202/7188168. ------ 1. ==[ start ]==> ((((^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)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 83203/7188195. ------ 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. ------ 83204/7188222. ------ 1. ==[ start ]==> ((a (b a))(((a a) a) c)) REDUCED to normal form. ------ 83205/7188312. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.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. ------ 83206/7188456. ------ 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)(^x.x)) b)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)((^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. ------ 83207/7188564. ------ 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. ------ 83208/7188582. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (^y.(a a)))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.(a a)))) REDUCED to normal form. ------ 83209/7188663. ------ 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) 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. ------ 83210/7188771. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a b))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a b)) REDUCED to normal form. ------ 83211/7188789. ------ 1. ==[ start ]==> (((a a)(b a))((a b) a)) REDUCED to normal form. ------ 83212/7188816. ------ 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)) REDUCED to normal form. ------ 83213/7188978. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.b) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.b) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b) a)) 5. ==[ beta ]==> (((a a) a)((^y.b) a)) 6. ==[ alpha ]==> (((a a) a)((^x.b) a)) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 83214/7189050. ------ 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 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. ------ 83215/7189149. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (^z.b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (^z.b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (^z.b))) 5. ==[ beta ]==> ((a a)(a (^z.b))) 6. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 83216/7189230. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))((^y1.y1) 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. ------ 83217/7189365. ------ 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))(^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. ------ 83218/7189392. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 83219/7189446. ------ 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.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 83220/7189455. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 83221/7189482. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a ((a a) a))) 5. ==[ beta ]==> ((^y.b)(a ((a a) a))) 6. ==[ alpha ]==> ((^x.b)(a ((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 83222/7189536. ------ 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. ------ 83223/7189563. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 83224/7189590. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 83225/7189662. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^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. ------ 83226/7189680. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 83227/7189707. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) 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. ------ 83228/7189734. ------ 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.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 83229/7189761. ------ 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.(^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. ------ 83230/7189788. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 83231/7189815. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (a a)) b)) REDUCED to normal form. ------ 83232/7189842. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a) c)) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a) c)) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a) c)) 5. ==[ beta ]==> (((a b)(^x.x))(a c)) REDUCED to normal form. ------ 83233/7189941. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 83234/7189950. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(b b)) REDUCED to normal form. ------ 83235/7189977. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a) c)) 3. ==[ beta ]==> ((a b)((^y.a) c)) 4. ==[ alpha ]==> ((a b)((^x.a) c)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 83236/7189986. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c (^z.a))) 3. ==[ beta ]==> ((^y.y)(c (^z.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 83237/7190013. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b (^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(b (^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 83238/7190148. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 83239/7190256. ------ 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)(^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. ------ 83240/7190265. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (a (a a)))) REDUCED to normal form. ------ 83241/7190292. ------ 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. ------ 83242/7190310. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.(^z.z)))) 5. ==[ beta ]==> (b (c (^y.(^z.z)))) 6. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 83243/7190319. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 83244/7190337. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b (^y1.a))) 3. ==[ beta ]==> ((^y.y)(b (^y1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 83245/7190346. ------ 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))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a) a)) REDUCED to normal form. ------ 83246/7190391. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 83247/7190427. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b c)) 5. ==[ beta ]==> ((^y.(a a))(b c)) 6. ==[ alpha ]==> ((^x.(a a))(b c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 83248/7190472. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) 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. ------ 83249/7190481. ------ 1. ==[ start ]==> (((a b)(^c.a))(c (a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (a a))) REDUCED to normal form. ------ 83250/7190508. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 83251/7190535. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 83252/7190580. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 83253/7190589. ------ 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. ------ 83254/7190616. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(c a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(c a)) 3. ==[ beta ]==> ((b (^y.y))(c a)) 4. ==[ alpha ]==> ((b (^x.x))(c a)) REDUCED to normal form. ------ 83255/7190652. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)(^a.(^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. ------ 83256/7190679. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1)) a)) REDUCED to normal form. ------ 83257/7190706. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a a) b)) 3. ==[ beta ]==> ((a (b a))((a a) b)) REDUCED to normal form. ------ 83258/7190733. ------ 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. ------ 83259/7190760. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.x1) b)) 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)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 83260/7190787. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 83261/7190814. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a) a)) REDUCED to normal form. ------ 83262/7190841. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^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)(^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. ------ 83263/7190867. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))(x (x x)))) REDUCED to normal form. ------ 83264/7190868. ------ 1. ==[ start ]==> (a (((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (a (((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 83265/7197435. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a))) a) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 83266/7197441. ------ 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. ------ 83267/7197468. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^z.z)(^x1.x1)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(^z.z)))) 11. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 12. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 83268/7197495. ------ 1. ==[ start ]==> ((^a.b)((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.b)((a b)((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 83269/7197576. ------ 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. ------ 83270/7197693. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (^y.(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (^x.(((^y.y) b)(^z.z))) 5. ==[ beta ]==> (^x.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 83271/7198335. ------ 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. ------ 83272/7198386. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b 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. ------ 83273/7198650. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(^b.b))) 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. ------ 83274/7198947. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(a (^a.(^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))))) REDUCED to normal form. ------ 83275/7199253. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(a (^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))))) REDUCED to normal form. ------ 83276/7199331. ------ 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 ]==> ((((^y.y)(a a))((^z.z) a)) b) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a)) b) 5. ==[ beta ]==> (((a a)((^y.y) a)) b) 6. ==[ alpha ]==> (((a a)((^x.x) a)) b) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 83277/7199541. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 83278/7199718. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))(^z.b))) 3. ==[ beta ]==> (^y.(((a (a a))(^z.b))((a (a a))(^z.b)))) 4. ==[ alpha ]==> (^x.(((a (a a))(^y.b))((a (a a))(^z.b)))) REDUCED to normal form. ------ 83279/7200837. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 83280/7201728. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(y y)))) REDUCED to normal form. ------ 83281/7201905. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(^y1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 83282/7202115. ------ 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))) REDUCED to normal form. ------ 83283/7202193. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))((^x1.x1) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 83284/7202619. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(^c.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. ------ 83285/7202796. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83286/7203111. ------ 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. ------ 83287/7203285. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 83288/7203402. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 83289/7203591. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^y.a)) REDUCED to normal form. ------ 83290/7203672. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.a))) REDUCED to normal form. ------ 83291/7203753. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.(^b.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. ------ 83292/7203870. ------ 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. ------ 83293/7203951. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.b)) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.b)) REDUCED to normal form. ------ 83294/7203978. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 83295/7204005. ------ 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. ------ 83296/7204017. ------ 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. ------ 83297/7204044. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(a a))((^a.a)(^a.a)))) 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)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 83298/7204071. ------ 1. ==[ start ]==> ((a b)((a b)((a a) a))) REDUCED to normal form. ------ 83299/7204125. ------ 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))((^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. ------ 83300/7204152. ------ 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. ------ 83301/7204224. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 83302/7204269. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((a (^x.a))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.y))) REDUCED to normal form. ------ 83303/7204305. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 83304/7204350. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 83305/7204377. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(a a))(^b.(^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. ------ 83306/7204386. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 83307/7204413. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)((a a) a))) 3. ==[ beta ]==> ((a a)((^y.b)((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.b)((a a) a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 83308/7204431. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)(^z.b))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.b))) 5. ==[ beta ]==> (a (((a a) a)(^y.b))) 6. ==[ alpha ]==> (a (((a a) a)(^x.b))) REDUCED to normal form. ------ 83309/7204440. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a b))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 83310/7204458. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^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. ------ 83311/7204467. ------ 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.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. ------ 83312/7204494. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 83313/7204602. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 83314/7204620. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z))) b)) 5. ==[ beta ]==> (((a (^y.(^z.z))) b)((a (^y.(^z.z))) b)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 83315/7204647. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 83316/7204683. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 83317/7204710. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 83318/7204737. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 83319/7204764. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 83320/7204791. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 83321/7204881. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (a (^a.(^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. ------ 83322/7204908. ------ 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. ------ 83323/7204935. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 83324/7204962. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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)))) REDUCED to normal form. ------ 83325/7205169. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (^d.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (^z.a))) 3. ==[ beta ]==> ((a (^y.a))(c (^z.a))) 4. ==[ alpha ]==> ((a (^x.a))(c (^y.a))) REDUCED to normal form. ------ 83326/7205196. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 83327/7205223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 83328/7205430. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 83329/7205520. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.(^x1.x1))))) 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. ------ 83330/7205547. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 83331/7205565. ------ 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. ------ 83332/7205601. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a))(^b.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. ------ 83333/7205628. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 83334/7205655. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 83335/7205709. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 83336/7205799. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b (b a))) 3. ==[ beta ]==> ((a (a (a a)))(b (b a))) REDUCED to normal form. ------ 83337/7205826. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^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. ------ 83338/7205853. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(a a))) 5. ==[ beta ]==> ((a (^y.y))((b a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(a a))) REDUCED to normal form. ------ 83339/7205880. ------ 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 (^y.y)))) REDUCED to normal form. ------ 83340/7205907. ------ 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))((a a)((^y.y) a))) 4. ==[ alpha ]==> ((a (a b))((a a)((^x.x) a))) 5. ==[ beta ]==> ((a (a b))((a a) a)) REDUCED to normal form. ------ 83341/7206060. ------ 1. ==[ start ]==> ((((a a) a) b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 83342/7206114. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 83343/7206132. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 83344/7206168. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 83345/7206186. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.a))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.a))) REDUCED to normal form. ------ 83346/7206195. ------ 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.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 83347/7206222. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(a (a a)))) 5. ==[ beta ]==> ((^y.a)((^z.b)(a (a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.b)(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 83348/7206267. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 83349/7206276. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^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. ------ 83350/7206294. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.b))) REDUCED to normal form. ------ 83351/7206465. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a))(^b.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. ------ 83352/7206726. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a)) c)) 5. ==[ beta ]==> ((a a)((^y.(a a)) c)) 6. ==[ alpha ]==> ((a a)((^x.(a a)) c)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 83353/7206870. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (^y.(a a)))) REDUCED to normal form. ------ 83354/7206897. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 83355/7207113. ------ 1. ==[ start ]==> (((^a.b) c)((^b.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. ------ 83356/7207212. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(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. ------ 83357/7207356. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.b))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 83358/7207383. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^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. ------ 83359/7207455. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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 a) REDUCED to normal form. ------ 83360/7207599. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.b))) REDUCED to normal form. ------ 83361/7207626. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 83362/7208103. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 83363/7208274. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b (^z.b))) 3. ==[ beta ]==> ((a (^y.(a a)))(b (^z.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.b))) REDUCED to normal form. ------ 83364/7208301. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.(a a)))) REDUCED to normal form. ------ 83365/7208355. ------ 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) REDUCED to normal form. ------ 83366/7208373. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(^a.a))(^b.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. ------ 83367/7208382. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^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. ------ 83368/7208409. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 83369/7208436. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 83370/7208481. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.b))) REDUCED to normal form. ------ 83371/7208661. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b ((a a) a))) REDUCED to normal form. ------ 83372/7208688. ------ 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. ------ 83373/7208715. ------ 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))) REDUCED to normal form. ------ 83374/7208769. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (a a)) a)) REDUCED to normal form. ------ 83375/7208940. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 83376/7209048. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 83377/7209075. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) b)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 7. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 83378/7209084. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 83379/7209102. ------ 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)) c)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) c)) 5. ==[ beta ]==> ((a (a a)) c) REDUCED to normal form. ------ 83380/7209165. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a))(^b.(^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. ------ 83381/7209192. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 83382/7209237. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(^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. ------ 83383/7209300. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (^z.(z z)))) REDUCED to normal form. ------ 83384/7209372. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^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. ------ 83385/7209606. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b (a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (a (a a)))) REDUCED to normal form. ------ 83386/7209660. ------ 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. ------ 83387/7209687. ------ 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. ------ 83388/7209696. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 83389/7209858. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 83390/7209975. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^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. ------ 83391/7210020. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.a) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.a) b)) 5. ==[ beta ]==> (b ((^y.a) b)) 6. ==[ alpha ]==> (b ((^x.a) b)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 83392/7210029. ------ 1. ==[ start ]==> (((a a)(^b.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 83393/7210056. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (^y1.a))) REDUCED to normal form. ------ 83394/7210101. ------ 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)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 83395/7210137. ------ 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 a) REDUCED to normal form. ------ 83396/7210164. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 83397/7210182. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^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. ------ 83398/7210191. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 83399/7210218. ------ 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.(^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. ------ 83400/7210245. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.a)) REDUCED to normal form. ------ 83401/7210290. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 83402/7210299. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) REDUCED to normal form. ------ 83403/7210326. ------ 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))) REDUCED to normal form. ------ 83404/7210362. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b b)) 3. ==[ beta ]==> (((a a) b)(b b)) REDUCED to normal form. ------ 83405/7210416. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b (a a))) 3. ==[ beta ]==> ((a (b a))(b (a a))) REDUCED to normal form. ------ 83406/7210443. ------ 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. ------ 83407/7210470. ------ 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. ------ 83408/7210497. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b a)) REDUCED to normal form. ------ 83409/7210524. ------ 1. ==[ start ]==> (((a b)((a a) a))(a b)) REDUCED to normal form. ------ 83410/7210551. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(a (a a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a (a a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 83411/7210578. ------ 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. ------ 83412/7213749. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^z.((a a)(^x1.x1)))(^z.((a a)(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((^x.((a a)(^y.y)))(^z.((a a)(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (((a a)(^y.y))(^y1.y1)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 83413/7217154. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a))) b) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a))) b) REDUCED to normal form. ------ 83414/7217178. ------ 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. ------ 83415/7217259. ------ 1. ==[ start ]==> ((^a.(^a.(^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. ------ 83416/7217739. ------ 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. ------ 83417/7217763. ------ 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 ]==> ((^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. ------ 83418/7218063. ------ 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. ------ 83419/7218675. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 83420/7218981. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 83421/7219260. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(b a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(b a))) 3. ==[ beta ]==> ((a b)(^y.(b a))) 4. ==[ alpha ]==> ((a b)(^x.(b a))) REDUCED to normal form. ------ 83422/7219548. ------ 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. ------ 83423/7219653. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.b)(^x1.(x1 x1)))((^z.b)(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)(^z.(z z)))((^x1.b)(^y1.(y1 y1))))) 5. ==[ beta ]==> (((^y.b)(^z.(z z)))((^x1.b)(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 7. ==[ beta ]==> (b ((^z.b)(^x1.(x1 x1)))) 8. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 83424/7219827. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 83425/7220328. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^z.z)((a a)(^x1.x1)))((^z.z)((a a)(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)((a a)(^y.y)))((^z.z)((a a)(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((((a a)(^y.y))((^z.z)((a a)(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)((a a)(^z.z))))(^x1.x1)) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^z.z)))(^x1.x1)) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 83426/7220331. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 83427/7220583. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 83428/7221033. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 83429/7221084. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b)(^a.(^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. ------ 83430/7221258. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^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. ------ 83431/7221447. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(a b))) 3. ==[ beta ]==> (((a b)(a b))(^y.(a b))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(a b))) REDUCED to normal form. ------ 83432/7221654. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(a x))) 3. ==[ eta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 83433/7221843. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.y))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.y))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.x))) REDUCED to normal form. ------ 83434/7222014. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.((a a) a))) 5. ==[ beta ]==> ((a a)(^z.((a a) a))) 6. ==[ alpha ]==> ((a a)(^x.((a a) a))) REDUCED to normal form. ------ 83435/7222653. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.((^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)(^x.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 83436/7223013. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 83437/7223130. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.d)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.d)) REDUCED to normal form. ------ 83438/7223319. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 83439/7223481. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.c)) 3. ==[ beta ]==> ((b (^y.y))(^z.c)) 4. ==[ alpha ]==> ((b (^x.x))(^y.c)) REDUCED to normal form. ------ 83440/7223544. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 83441/7223598. ------ 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. ------ 83442/7223652. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 83443/7223679. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.(a a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 83444/7223706. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 83445/7223733. ------ 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. ------ 83446/7223763. ------ 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. ------ 83447/7223790. ------ 1. ==[ start ]==> (((^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)))) 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. ------ 83448/7223817. ------ 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. ------ 83449/7223844. ------ 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. ------ 83450/7223898. ------ 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. ------ 83451/7223925. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^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. ------ 83452/7223952. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 83453/7223979. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 83454/7224024. ------ 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. ------ 83455/7224042. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 83456/7224051. ------ 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 (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 83457/7224123. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 83458/7224150. ------ 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. ------ 83459/7224177. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.b))) REDUCED to normal form. ------ 83460/7224204. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 83461/7224267. ------ 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) a)((^y.a)(b a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(b a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 83462/7224294. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 83463/7224321. ------ 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. ------ 83464/7224339. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) b) a)) 3. ==[ beta ]==> ((a a)(((^y.y) b) a)) 4. ==[ alpha ]==> ((a a)(((^x.x) b) a)) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 83465/7224348. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.y))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 83466/7224618. ------ 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))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 83467/7224645. ------ 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. ------ 83468/7224663. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.b) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y) a)) 3. ==[ beta ]==> ((b b)((^y.y) a)) 4. ==[ alpha ]==> ((b b)((^x.x) a)) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 83469/7224708. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 83470/7224735. ------ 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))((^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. ------ 83471/7224789. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a b)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a b)((^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. ------ 83472/7224843. ------ 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.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 9. ==[ beta ]==> ((^y.y)(a b)) 10. ==[ alpha ]==> ((^x.x)(a b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 83473/7224870. ------ 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. ------ 83474/7224924. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))(b a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 83475/7224996. ------ 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)(^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. ------ 83476/7225077. ------ 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. ------ 83477/7225104. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 83478/7225257. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) b)((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 83479/7225284. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 83480/7225338. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1)) c)) REDUCED to normal form. ------ 83481/7225482. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 83482/7225509. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 83483/7225563. ------ 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))))) 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. ------ 83484/7225635. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 83485/7225653. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 83486/7225734. ------ 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)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))((a a) a))) IRREDUCIBLE: cycle. ------ 83487/7225815. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 83488/7225842. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)(b a))) 3. ==[ beta ]==> ((a b)((a a)(b a))) REDUCED to normal form. ------ 83489/7225905. ------ 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))(^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. ------ 83490/7225932. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 83491/7225959. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)((a b)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.a)((a b)(^y.(y y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 83492/7225986. ------ 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. ------ 83493/7226013. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.a)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.a)) REDUCED to normal form. ------ 83494/7226049. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(a b))) 3. ==[ beta ]==> (((a a)(a b))((a b)(a b))) REDUCED to normal form. ------ 83495/7226076. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 83496/7226103. ------ 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.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. ------ 83497/7226130. ------ 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. ------ 83498/7226202. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 83499/7226211. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 83500/7226238. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 83501/7226409. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 83502/7226463. ------ 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)))) 7. ==[ beta ]==> ((a a)((a a)(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 83503/7226472. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 83504/7226490. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 83505/7226544. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 11. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 12. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 13. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 14. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 15. ==[ beta ]==> ((^y.y)(^z.z)) 16. ==[ alpha ]==> ((^x.x)(^y.y)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83506/7226625. ------ 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.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. ------ 83507/7226724. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 83508/7226751. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 83509/7226805. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 83510/7226832. ------ 1. ==[ start ]==> ((((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) 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. ------ 83511/7226850. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 83512/7226859. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.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. ------ 83513/7226886. ------ 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.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. ------ 83514/7226913. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 83515/7227165. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 83516/7227192. ------ 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)(((^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. ------ 83517/7227201. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 83518/7227228. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b) c)) 3. ==[ beta ]==> ((a (^y.b))((^z.b) c)) 4. ==[ alpha ]==> ((a (^x.b))((^y.b) c)) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 83519/7227246. ------ 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.y) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)((^x.x) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a) a)) REDUCED to normal form. ------ 83520/7227327. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 83521/7227426. ------ 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 a)) REDUCED to normal form. ------ 83522/7227453. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 83523/7227480. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 83524/7227507. ------ 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. ------ 83525/7227534. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 11. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 12. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 13. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 14. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 15. ==[ beta ]==> ((^y.y)(^z.z)) 16. ==[ alpha ]==> ((^x.x)(^y.y)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83526/7227561. ------ 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. ------ 83527/7227588. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^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. ------ 83528/7227615. ------ 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 (^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. ------ 83529/7227642. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 83530/7227669. ------ 1. ==[ start ]==> ((a (b a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 83531/7227840. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(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. ------ 83532/7227903. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 83533/7227948. ------ 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. ------ 83534/7227975. ------ 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)(^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. ------ 83535/7228029. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(a b))) 3. ==[ beta ]==> (((a b)(a b))((a a)(a b))) REDUCED to normal form. ------ 83536/7228092. ------ 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. ------ 83537/7228119. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(^a.a))(^b.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. ------ 83538/7228146. ------ 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.(z z)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 83539/7228173. ------ 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.(^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. ------ 83540/7228236. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(a b))) 3. ==[ beta ]==> (((a a)(b a))(a b)) REDUCED to normal form. ------ 83541/7228263. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 83542/7228317. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^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. ------ 83543/7228344. ------ 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 z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)((^y.(y y))(^y.(y y)))) 8. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 83544/7228371. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)(^b.(^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. ------ 83545/7228398. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^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. ------ 83546/7228425. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.b))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.b))) 7. ==[ beta ]==> (((a a) a)(^y.b)) 8. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 83547/7228497. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83548/7228515. ------ 1. ==[ start ]==> (((^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) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))((^x1.x1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 83549/7228596. ------ 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 a))(^y.(a a)))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)((a a) a))) 5. ==[ beta ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 83550/7228794. ------ 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. ------ 83551/7228821. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 83552/7228974. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(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. ------ 83553/7228983. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^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. ------ 83554/7229082. ------ 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. ------ 83555/7229127. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(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. ------ 83556/7229154. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 83557/7229181. ------ 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.x1) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 83558/7229208. ------ 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. ------ 83559/7229235. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 83560/7229262. ------ 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. ------ 83561/7229289. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 83562/7229316. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 83563/7229343. ------ 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)(^x.x)) a)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 83564/7229388. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^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. ------ 83565/7229433. ------ 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. ------ 83566/7229460. ------ 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 (^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))((^x2.x2) 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. ------ 83567/7229595. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b d)) 3. ==[ beta ]==> (b (b d)) REDUCED to normal form. ------ 83568/7229703. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 83569/7229739. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y)) a)) 3. ==[ beta ]==> ((b a)((^y.(y y)) a)) 4. ==[ alpha ]==> ((b a)((^x.(x x)) a)) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 83570/7229757. ------ 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. ------ 83571/7229766. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a) b)) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 83572/7229784. ------ 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 (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a (^z1.z1)))) 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. ------ 83573/7229874. ------ 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))(^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 a) REDUCED to normal form. ------ 83574/7229901. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 83575/7229928. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a) a)) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 83576/7229955. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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)) REDUCED to normal form. ------ 83577/7230027. ------ 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. ------ 83578/7230036. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1)) 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. ------ 83579/7230063. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) 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 (^x.x)) c) REDUCED to normal form. ------ 83580/7230099. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^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)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 83581/7230126. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 83582/7230153. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(^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. ------ 83583/7230180. ------ 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. ------ 83584/7230207. ------ 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. ------ 83585/7230234. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 83586/7230261. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(a a))) 3. ==[ beta ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 83587/7230288. ------ 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.x1)(^y1.y1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 83588/7230315. ------ 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. ------ 83589/7230588. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (^y.(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(y y)))) REDUCED to normal form. ------ 83590/7235691. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83591/7237176. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (^z.(a a)))) 3. ==[ beta ]==> (^y.(a (^z.(a a)))) 4. ==[ alpha ]==> (^x.(a (^y.(a a)))) REDUCED to normal form. ------ 83592/7237179. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 83593/7237248. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a)(^z.a))) 3. ==[ eta ]==> ((^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. ------ 83594/7237419. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 83595/7237518. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) b) a)) 3. ==[ beta ]==> ((((^y.y) b) a)((((^y.y) b) a)(((^y.y) b) a))) 4. ==[ alpha ]==> ((((^x.x) b) a)((((^y.y) b) a)(((^z.z) b) a))) 5. ==[ beta ]==> ((b a)((((^y.y) b) a)(((^z.z) b) a))) 6. ==[ alpha ]==> ((b a)((((^x.x) b) a)(((^y.y) b) a))) 7. ==[ beta ]==> ((b a)((b a)(((^y.y) b) a))) 8. ==[ alpha ]==> ((b a)((b a)(((^x.x) b) a))) 9. ==[ beta ]==> ((b a)((b a)(b a))) REDUCED to normal form. ------ 83596/7237743. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 83597/7237836. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((^z.z) b))) 3. ==[ beta ]==> ((b b)(^y.((^z.z) b))) 4. ==[ alpha ]==> ((b b)(^x.((^y.y) b))) 5. ==[ beta ]==> ((b b)(^x.b)) REDUCED to normal form. ------ 83598/7237869. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) 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. ------ 83599/7238634. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 83600/7238814. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((^y.(^z.z)) c) b) 4. ==[ alpha ]==> (((^x.(^y.y)) c) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 83601/7239024. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(b a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(b a))) REDUCED to normal form. ------ 83602/7239042. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 83603/7239201. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))((a a) a))((^z.(^x1.x1))((a a) a)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))((a a) a))((^x1.(^y1.y1))((a a) a)))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1))((a a) a)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))((a a) a)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))((a a) a))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))((a a) a))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 83604/7239591. ------ 1. ==[ start ]==> (((a b) b)(^a.(b a))) 2. ==[ alpha ]==> (((a b) b)(^x.(b x))) 3. ==[ eta ]==> (((a b) b) b) REDUCED to normal form. ------ 83605/7240338. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^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)))) REDUCED to normal form. ------ 83606/7240839. ------ 1. ==[ start ]==> ((^a.(b a))((a b) b)) 2. ==[ alpha ]==> ((^x.(b x))((a b) b)) 3. ==[ eta ]==> (b ((a b) b)) REDUCED to normal form. ------ 83607/7241013. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 83608/7241211. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(a b))) REDUCED to normal form. ------ 83609/7241388. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^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. ------ 83610/7241409. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(^a.b))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.b))) REDUCED to normal form. ------ 83611/7241676. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^x1.(^y1.y1)) c)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y)) c)(^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. ------ 83612/7241958. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 83613/7242279. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83614/7242282. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 83615/7242408. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(^b.(^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. ------ 83616/7242561. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.((^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. ------ 83617/7242594. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 83618/7242912. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(y (y y)))) 3. ==[ beta ]==> ((b a)(^y.(y (y y)))) 4. ==[ alpha ]==> ((b a)(^x.(x (x x)))) REDUCED to normal form. ------ 83619/7243011. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 83620/7243092. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.((^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 (^x.a)) REDUCED to normal form. ------ 83621/7243101. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.d)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.d)) REDUCED to normal form. ------ 83622/7243236. ------ 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)))) REDUCED to normal form. ------ 83623/7243407. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 83624/7243434. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 83625/7243488. ------ 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. ------ 83626/7243536. ------ 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. ------ 83627/7243563. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(a a))((^a.a)(^a.a)))) 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)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 83628/7243590. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)((a a) a))) REDUCED to normal form. ------ 83629/7243617. ------ 1. ==[ start ]==> (((^a.a) b)(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.x) b)(((a a) a)(a b))) 3. ==[ beta ]==> (b (((a a) a)(a b))) REDUCED to normal form. ------ 83630/7243644. ------ 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.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. ------ 83631/7243671. ------ 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. ------ 83632/7243698. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (b a))) REDUCED to normal form. ------ 83633/7243725. ------ 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 (^x1.(^y1.y1))))) REDUCED to normal form. ------ 83634/7243743. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(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. ------ 83635/7243752. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) b)) REDUCED to normal form. ------ 83636/7243770. ------ 1. ==[ start ]==> ((a (^b.a))(a (^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 83637/7243788. ------ 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. ------ 83638/7243815. ------ 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)))) REDUCED to normal form. ------ 83639/7243842. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 83640/7243932. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)((a a) a))) 5. ==[ beta ]==> (a ((^y.b)((a a) a))) 6. ==[ alpha ]==> (a ((^x.b)((a a) a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 83641/7244013. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 83642/7244058. ------ 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))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 83643/7244085. ------ 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. ------ 83644/7244112. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) b) a)) 3. ==[ beta ]==> ((a (a (a a)))(b a)) REDUCED to normal form. ------ 83645/7244121. ------ 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 ]==> ((^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. ------ 83646/7244148. ------ 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)))(^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. ------ 83647/7244229. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a))(^b.(^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 a)) REDUCED to normal form. ------ 83648/7244256. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 83649/7244310. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 83650/7244337. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 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. ------ 83651/7244427. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a ((^y.y) b))) 3. ==[ beta ]==> ((b b)(a ((^y.y) b))) 4. ==[ alpha ]==> ((b b)(a ((^x.x) b))) 5. ==[ beta ]==> ((b b)(a b)) REDUCED to normal form. ------ 83652/7244436. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.b) a)) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x) a)) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 83653/7244463. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 83654/7244562. ------ 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. ------ 83655/7244589. ------ 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. ------ 83656/7244616. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 83657/7244643. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a (a a))(a a))) REDUCED to normal form. ------ 83658/7244670. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)((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. ------ 83659/7244697. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 83660/7244724. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(a (^x1.(^y1.y1))))) 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. ------ 83661/7244760. ------ 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))) 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. ------ 83662/7244787. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 83663/7244814. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.a))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 83664/7244841. ------ 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. ------ 83665/7244868. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a 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. ------ 83666/7244931. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 83667/7244985. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.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. ------ 83668/7245066. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 83669/7245147. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.(z z)))) 7. ==[ beta ]==> ((a a)((^y.(a a))(^z.(z z)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 83670/7245228. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 83671/7245354. ------ 1. ==[ start ]==> ((((^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))) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1))) a)) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 83672/7245399. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 83673/7245408. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) c)) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 83674/7245561. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) 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)))) 5. ==[ beta ]==> ((((a a) a) b)(a (a a))) REDUCED to normal form. ------ 83675/7245579. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 83676/7245588. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 83677/7245615. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(b a))) REDUCED to normal form. ------ 83678/7245633. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 83679/7245768. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 83680/7245795. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 83681/7245813. ------ 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. ------ 83682/7245840. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) 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. ------ 83683/7245921. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((b a) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((b a) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a) a)) 5. ==[ beta ]==> (((^y.y) a)((b a) a)) 6. ==[ alpha ]==> (((^x.x) a)((b a) a)) 7. ==[ beta ]==> (a ((b a) a)) REDUCED to normal form. ------ 83684/7245948. ------ 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)) REDUCED to normal form. ------ 83685/7245975. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(a a)) c)) 3. ==[ beta ]==> (((a b)(a a))((a a) c)) REDUCED to normal form. ------ 83686/7246011. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 83687/7246038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 83688/7246092. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.b))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 7. ==[ beta ]==> ((^y.(y y))(^z.b)) 8. ==[ alpha ]==> ((^x.(x x))(^y.b)) 9. ==[ beta ]==> ((^y.b)(^y.b)) 10. ==[ alpha ]==> ((^x.b)(^y.b)) 11. ==[ beta ]==> b REDUCED to normal form. ------ 83689/7246182. ------ 1. ==[ start ]==> (((a b) b)(a (b a))) REDUCED to normal form. ------ 83690/7246209. ------ 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))) REDUCED to normal form. ------ 83691/7246236. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 83692/7246263. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a b) a)) REDUCED to normal form. ------ 83693/7246317. ------ 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)(^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. ------ 83694/7246344. ------ 1. ==[ start ]==> ((((^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) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a (a a))((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))((a (a a))((a a) a))) 7. ==[ beta ]==> (((a (a a))((a a) a))((a (a a))((a a) a))) REDUCED to normal form. ------ 83695/7246371. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (a b))) REDUCED to normal form. ------ 83696/7246389. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (^z.(a a)))) 3. ==[ beta ]==> (b (c (^z.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 83697/7246398. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 83698/7246425. ------ 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)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 83699/7246461. ------ 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)(a a))(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 83700/7246488. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(a a))(^a.(^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. ------ 83701/7246515. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b)(^b.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. ------ 83702/7246542. ------ 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) 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. ------ 83703/7246569. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^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)))) 9. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 10. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 83704/7246623. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (^z.b))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.b))) REDUCED to normal form. ------ 83705/7246650. ------ 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.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 83706/7246713. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 83707/7246848. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 83708/7246857. ------ 1. ==[ start ]==> (((a b) c)(d ((a a) a))) REDUCED to normal form. ------ 83709/7246884. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (a b))) 3. ==[ beta ]==> (((a a) b)(c (a b))) REDUCED to normal form. ------ 83710/7246911. ------ 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. ------ 83711/7246965. ------ 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))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a)(a a))) REDUCED to normal form. ------ 83712/7246992. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.b))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))((a b)(a (^y.y)))) REDUCED to normal form. ------ 83713/7247046. ------ 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)(^z1.z1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83714/7247073. ------ 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)(^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. ------ 83715/7247100. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 83716/7247127. ------ 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.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. ------ 83717/7247154. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 83718/7247190. ------ 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)(^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 83719/7247217. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a b)(^a.(^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. ------ 83720/7247244. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a)(^b.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. ------ 83721/7247271. ------ 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 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)))) 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. ------ 83722/7247298. ------ 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.(^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. ------ 83723/7247352. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 83724/7247379. ------ 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.(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 83725/7247406. ------ 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)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 83726/7247433. ------ 1. ==[ start ]==> ((a (b a))((a b) b)) REDUCED to normal form. ------ 83727/7247523. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(^b.(^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. ------ 83728/7247604. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 83729/7247667. ------ 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)))) REDUCED to normal form. ------ 83730/7247775. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 83731/7247793. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (^y.b))) 3. ==[ beta ]==> (((a b)(a b))(b (^y.b))) 4. ==[ alpha ]==> (((a b)(a b))(b (^x.b))) REDUCED to normal form. ------ 83732/7247802. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(a b))) REDUCED to normal form. ------ 83733/7247874. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.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) REDUCED to normal form. ------ 83734/7247982. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^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. ------ 83735/7248000. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(b a))((a a)(^x.b))) REDUCED to normal form. ------ 83736/7248027. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a b) a)) REDUCED to normal form. ------ 83737/7248054. ------ 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. ------ 83738/7248081. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y) c)) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x) c)) 5. ==[ beta ]==> (((a (a a))(a b)) c) REDUCED to normal form. ------ 83739/7248216. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.b) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 83740/7248261. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83741/7248270. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 83742/7248360. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b (^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b (^z.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b (^z.a))) 5. ==[ beta ]==> ((a a)(b (^z.a))) 6. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 83743/7248441. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^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. ------ 83744/7248549. ------ 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))((^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. ------ 83745/7248603. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^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. ------ 83746/7248657. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(z z)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(y y)))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 83747/7248666. ------ 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. ------ 83748/7248693. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(b ((^y.y)(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 83749/7248747. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 83750/7248774. ------ 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. ------ 83751/7248801. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a ((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 83752/7248846. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b (^b.(^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. ------ 83753/7248855. ------ 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)))) 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. ------ 83754/7248873. ------ 1. ==[ start ]==> ((a (^b.b))(a (^c.a))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 83755/7248891. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 83756/7248918. ------ 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. ------ 83757/7248945. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.a))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.a))) REDUCED to normal form. ------ 83758/7248972. ------ 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. ------ 83759/7248999. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)(^b.(^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. ------ 83760/7249026. ------ 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. ------ 83761/7249053. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^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)) REDUCED to normal form. ------ 83762/7249152. ------ 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))(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. ------ 83763/7249161. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1)) 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. ------ 83764/7249188. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y)) b)) 3. ==[ beta ]==> ((a b)((^y.(y y)) b)) 4. ==[ alpha ]==> ((a b)((^x.(x x)) b)) 5. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 83765/7249359. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 83766/7249467. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 83767/7249476. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(b a)) REDUCED to normal form. ------ 83768/7249503. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a (a (a a)))) 3. ==[ beta ]==> ((b a)(a (a (a a)))) REDUCED to normal form. ------ 83769/7249530. ------ 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. ------ 83770/7249557. ------ 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 (^y1.y1))(a (^z1.z1)))) REDUCED to normal form. ------ 83771/7249602. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 83772/7249638. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c b)) 5. ==[ beta ]==> ((^y.(a a))(c b)) 6. ==[ alpha ]==> ((^x.(a a))(c b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 83773/7249665. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b c)) REDUCED to normal form. ------ 83774/7249683. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.y)((^z.z) 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. ------ 83775/7249692. ------ 1. ==[ start ]==> (((a b)(^c.a))(a d)) 2. ==[ alpha ]==> (((a b)(^x.a))(a d)) REDUCED to normal form. ------ 83776/7249719. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c (a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c (a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 83777/7249746. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (a (^z.z)))) REDUCED to normal form. ------ 83778/7249800. ------ 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))) REDUCED to normal form. ------ 83779/7249827. ------ 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. ------ 83780/7249863. ------ 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) b)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 83781/7249890. ------ 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.(^y1.y1)))) REDUCED to normal form. ------ 83782/7249917. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(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. ------ 83783/7249944. ------ 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. ------ 83784/7249971. ------ 1. ==[ start ]==> ((((^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)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) a)) 7. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 8. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 83785/7249998. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x) b)) 3. ==[ beta ]==> ((((a a) a)(a b)) b) REDUCED to normal form. ------ 83786/7250025. ------ 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. ------ 83787/7250052. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a a) a)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a a) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 83788/7250079. ------ 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. ------ 83789/7250105. ------ 1. ==[ start ]==> (^a.((b a)((^a.a) a))) 2. ==[ alpha ]==> (^x.((b x)((^y.y) x))) 3. ==[ beta ]==> (^x.((b x) x)) REDUCED to normal form. ------ 83790/7250106. ------ 1. ==[ start ]==> (a ((b a)((^a.a) a))) 2. ==[ alpha ]==> (a ((b a)((^x.x) a))) 3. ==[ beta ]==> (a ((b a) a)) REDUCED to normal form. ------ 83791/7256706. ------ 1. ==[ start ]==> ((^a.a)((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)((b a)((^y.y) a))) 3. ==[ beta ]==> ((b a)((^y.y) a)) 4. ==[ alpha ]==> ((b a)((^x.x) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 83792/7256733. ------ 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. ------ 83793/7256760. ------ 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 REDUCED to normal form. ------ 83794/7256841. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))((^y1.y1)(a a)))(^y.y)) 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. ------ 83795/7257294. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.(x x)) a)(^z.z)) 4. ==[ alpha ]==> (((^x.(x x)) a)(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 83796/7257618. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.z))) 3. ==[ beta ]==> ((b b)(^y.(^z.z))) 4. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 83797/7257627. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(a a))(^x.b)) REDUCED to normal form. ------ 83798/7257651. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.(^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. ------ 83799/7258239. ------ 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. ------ 83800/7258545. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(a (^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))))) REDUCED to normal form. ------ 83801/7258596. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^y.y))(a (^z.z))) b) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 83802/7258983. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))(^y1.a))(((^z.z)(^x1.x1))(^y1.a)))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))(^x1.a))(((^y1.y1)(^z1.z1))(^x2.a)))) 5. ==[ beta ]==> (^x.(((^z.z)(^x1.a))(((^y1.y1)(^z1.z1))(^x2.a)))) 6. ==[ alpha ]==> (^x.(((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.a)))) 7. ==[ beta ]==> (^x.((^z.a)(((^x1.x1)(^y1.y1))(^z1.a)))) 8. ==[ alpha ]==> (^x.((^y.a)(((^z.z)(^x1.x1))(^y1.a)))) 9. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 83803/7261407. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(z b))) REDUCED to normal form. ------ 83804/7261458. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1))(a (^z1.z1)))(^y.(^z.z))) 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. ------ 83805/7261749. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((a a) a))) REDUCED to normal form. ------ 83806/7262343. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(^b.(^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. ------ 83807/7262352. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.x1))) REDUCED to normal form. ------ 83808/7262376. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 83809/7262694. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 83810/7262874. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 83811/7262883. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 83812/7263108. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.c)) 3. ==[ beta ]==> ((a (b a))(^y.c)) 4. ==[ alpha ]==> ((a (b a))(^x.c)) REDUCED to normal form. ------ 83813/7263162. ------ 1. ==[ start ]==> ((((^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)))) 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. ------ 83814/7263189. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.(a a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(a a))) REDUCED to normal form. ------ 83815/7263243. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.b)) 5. ==[ beta ]==> (((a a)(^y.y))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 83816/7263270. ------ 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. ------ 83817/7263309. ------ 1. ==[ start ]==> ((a a)((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a a)((b a)((^x.x) a))) 3. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 83818/7263336. ------ 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. ------ 83819/7263363. ------ 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. ------ 83820/7263417. ------ 1. ==[ start ]==> (((a a)(a a))(((a a) a)(a b))) REDUCED to normal form. ------ 83821/7263444. ------ 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)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a a))) 7. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 83822/7263543. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 83823/7263597. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 83824/7263642. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(^z.a))) 3. ==[ beta ]==> ((^y.a)((b a)(^z.a))) 4. ==[ alpha ]==> ((^x.a)((b a)(^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 83825/7263669. ------ 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))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.(z1 z1)))) 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. ------ 83826/7263678. ------ 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. ------ 83827/7263705. ------ 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)(a a)) REDUCED to normal form. ------ 83828/7263723. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.y) a)((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(^y.a))) 5. ==[ beta ]==> (a ((a b)(^y.a))) 6. ==[ alpha ]==> (a ((a b)(^x.a))) REDUCED to normal form. ------ 83829/7263732. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 83830/7263750. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((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. ------ 83831/7263786. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 83832/7263894. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) 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)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 83833/7263912. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) b) a)) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) b) a)) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) b) a)) 5. ==[ beta ]==> ((((^y.y) b) a)(((^y.y) b) a)) 6. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) b) a)) 7. ==[ beta ]==> ((b a)(((^y.y) b) a)) 8. ==[ alpha ]==> ((b a)(((^x.x) b) a)) 9. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 83834/7263939. ------ 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)((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. ------ 83835/7264029. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 83836/7264056. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 83837/7264110. ------ 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. ------ 83838/7264200. ------ 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. ------ 83839/7264218. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(^b.b))) 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))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 83840/7264227. ------ 1. ==[ start ]==> (((a (a a))(a a))(a ((^a.a) 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. ------ 83841/7264254. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 83842/7264263. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83843/7264515. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(b (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 83844/7264722. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.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. ------ 83845/7264776. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 83846/7264812. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^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. ------ 83847/7264839. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(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. ------ 83848/7264857. ------ 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)) REDUCED to normal form. ------ 83849/7264884. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((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. ------ 83850/7264947. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 83851/7264974. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83852/7265118. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b (b a))) 3. ==[ beta ]==> (((a (a a)) a)(b (b a))) REDUCED to normal form. ------ 83853/7265145. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a (a (^x1.(^y1.y1))))) 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))))) REDUCED to normal form. ------ 83854/7265172. ------ 1. ==[ start ]==> ((((a a) a)(a a))((b a)(a a))) REDUCED to normal form. ------ 83855/7265199. ------ 1. ==[ start ]==> ((a (a b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 83856/7265208. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 83857/7265379. ------ 1. ==[ start ]==> (((a b) a)(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(c (^x.(^y.y)))) REDUCED to normal form. ------ 83858/7265478. ------ 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.(^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. ------ 83859/7265514. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.a)((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.a)((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 83860/7265541. ------ 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. ------ 83861/7265559. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 83862/7265568. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 83863/7265586. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.a)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.a)) REDUCED to normal form. ------ 83864/7265757. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(^a.a))(^a.(^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. ------ 83865/7266045. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 83866/7266189. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.(a a)))) REDUCED to normal form. ------ 83867/7266216. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 83868/7266405. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 83869/7266504. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1)) 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. ------ 83870/7266648. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a b) c)((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a b) c)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 83871/7266675. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.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. ------ 83872/7266702. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^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. ------ 83873/7266801. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.b) c)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b) c)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b) c)) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 83874/7266945. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.(a a)))) REDUCED to normal form. ------ 83875/7267566. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (^c.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. ------ 83876/7267593. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b (^y.b))) REDUCED to normal form. ------ 83877/7267647. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 83878/7267665. ------ 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. ------ 83879/7267674. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 83880/7267701. ------ 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))((^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. ------ 83881/7267728. ------ 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 x1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 83882/7267953. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a)))(c (^y.y))) 4. ==[ alpha ]==> (((a b)(a (a a)))(c (^x.x))) REDUCED to normal form. ------ 83883/7267980. ------ 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. ------ 83884/7268007. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (a b))) REDUCED to normal form. ------ 83885/7268061. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 83886/7268070. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) c)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 83887/7268232. ------ 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))(^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. ------ 83888/7268349. ------ 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 (^x.(^y.y))) a)((a a) a)) REDUCED to normal form. ------ 83889/7268367. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a) a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 83890/7268394. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 83891/7268457. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 83892/7268484. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))(^b.(^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. ------ 83893/7268529. ------ 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 ((^x1.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 83894/7268646. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 83895/7268943. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(^b.(^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. ------ 83896/7268952. ------ 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. ------ 83897/7268979. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (a a))(a a))) 3. ==[ beta ]==> ((a b)((a (a a))(a a))) REDUCED to normal form. ------ 83898/7268988. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 83899/7269015. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a) c)) 3. ==[ beta ]==> ((^y.y)((^z1.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. ------ 83900/7269150. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 83901/7269267. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 83902/7269294. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((b a)(^y.(y y))) 6. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 83903/7269312. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y)) a)) 5. ==[ beta ]==> (b ((^y.(y y)) a)) 6. ==[ alpha ]==> (b ((^x.(x x)) a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 83904/7269339. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.a) b)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 83905/7269429. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a a))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 83906/7269456. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^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. ------ 83907/7269474. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 83908/7269483. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z) a)) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y) a)) 5. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 83909/7269510. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 83910/7269537. ------ 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.(^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. ------ 83911/7269582. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83912/7269618. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b (^a.(^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. ------ 83913/7269654. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c a)) 3. ==[ beta ]==> (((a a) b)(c a)) REDUCED to normal form. ------ 83914/7269681. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b b)) REDUCED to normal form. ------ 83915/7269708. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a c)) 3. ==[ beta ]==> ((a (b a))(a c)) REDUCED to normal form. ------ 83916/7269735. ------ 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. ------ 83917/7269762. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a (a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a (^z.z)))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (a (^y.y)))) 8. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 83918/7269789. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)(a a))) REDUCED to normal form. ------ 83919/7269816. ------ 1. ==[ start ]==> (((a b)((a a) a))(b a)) REDUCED to normal form. ------ 83920/7269843. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(a b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a b)) 5. ==[ beta ]==> (((a a)(^y.y))(a b)) 6. ==[ alpha ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 83921/7269870. ------ 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. ------ 83922/7270161. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (^y.(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (^x.(^y.((^z.z) b))) 5. ==[ beta ]==> (^x.(^y.b)) REDUCED to normal form. ------ 83923/7270503. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((^x.(x (x x)))(^z.z)) 4. ==[ alpha ]==> ((^x.(x (x x)))(^y.y)) 5. ==[ beta ]==> ((^y.y)((^y.y)(^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. ------ 83924/7275264. ------ 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. ------ 83925/7276524. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((b a)((^z.z) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83926/7276605. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 83927/7276767. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)((^z.z) b))) 3. ==[ beta ]==> (^y.((a a)((^z.z) b))) 4. ==[ alpha ]==> (^x.((a a)((^y.y) b))) 5. ==[ beta ]==> (^x.((a a) b)) REDUCED to normal form. ------ 83928/7276770. ------ 1. ==[ start ]==> ((a (^b.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (^x.a))(^y.b)) REDUCED to normal form. ------ 83929/7276839. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ eta ]==> ((^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. ------ 83930/7277109. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((^y.y)((^z.z) b))(((^y.y)((^z.z) b))((^y.y)((^z.z) b)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)((^x1.x1) b))((^y1.y1)((^z1.z1) b)))) 5. ==[ beta ]==> (((^y.y) b)(((^z.z)((^x1.x1) b))((^y1.y1)((^z1.z1) b)))) 6. ==[ alpha ]==> (((^x.x) b)(((^y.y)((^z.z) b))((^x1.x1)((^y1.y1) b)))) 7. ==[ beta ]==> (b (((^y.y)((^z.z) b))((^x1.x1)((^y1.y1) b)))) 8. ==[ alpha ]==> (b (((^x.x)((^y.y) b))((^z.z)((^x1.x1) b)))) 9. ==[ beta ]==> (b (((^y.y) b)((^z.z)((^x1.x1) b)))) 10. ==[ alpha ]==> (b (((^x.x) b)((^y.y)((^z.z) b)))) 11. ==[ beta ]==> (b (b ((^y.y)((^z.z) b)))) 12. ==[ alpha ]==> (b (b ((^x.x)((^y.y) b)))) 13. ==[ beta ]==> (b (b ((^y.y) b))) 14. ==[ alpha ]==> (b (b ((^x.x) b))) 15. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 83931/7277112. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((^y.y) x))) 3. ==[ eta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 83932/7277436. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 83933/7277760. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 83934/7277892. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.b)((^z.z)(^x1.x1)))((^y.b)((^z.z)(^x1.x1))))((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.b)((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1))))((^x2.b)((^y2.y2)(^z2.z2)))) 5. ==[ beta ]==> ((b ((^x1.b)((^y1.y1)(^z1.z1))))((^x2.b)((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> ((b ((^x.b)((^y.y)(^z.z))))((^x1.b)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((b b)((^x1.b)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((b b)((^x.b)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 83935/7278354. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 83936/7278921. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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))) REDUCED to normal form. ------ 83937/7278999. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a))(^b.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. ------ 83938/7279674. ------ 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.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. ------ 83939/7279956. ------ 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 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))) REDUCED to normal form. ------ 83940/7280406. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^y.(a a))) REDUCED to normal form. ------ 83941/7280430. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(a a))(^z.z))) 3. ==[ eta ]==> (b ((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 83942/7281027. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 83943/7281216. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 83944/7281738. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 83945/7281870. ------ 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. ------ 83946/7281873. ------ 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))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 83947/7282026. ------ 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. ------ 83948/7282161. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 83949/7282503. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.d)) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.d)) 3. ==[ beta ]==> ((b a)(^y.d)) 4. ==[ alpha ]==> ((b a)(^x.d)) REDUCED to normal form. ------ 83950/7282521. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(y (y y)))) 5. ==[ beta ]==> (b (^y.(y (y y)))) 6. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 83951/7282692. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 83952/7282791. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83953/7282863. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.y))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.y))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.x))) REDUCED to normal form. ------ 83954/7282917. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(a (^z.z)))) 3. ==[ beta ]==> ((a (b a))(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((a (b a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 83955/7282971. ------ 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.(^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. ------ 83956/7283025. ------ 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. ------ 83957/7283052. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 83958/7283079. ------ 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. ------ 83959/7283136. ------ 1. ==[ start ]==> ((a (^a.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((b a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.x))((b a) a)) REDUCED to normal form. ------ 83960/7283163. ------ 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. ------ 83961/7283190. ------ 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.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((a a)((^y.y)(^z.z)))) 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. ------ 83962/7283217. ------ 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. ------ 83963/7283271. ------ 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.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83964/7283298. ------ 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. ------ 83965/7283325. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(b a))) 5. ==[ beta ]==> ((a (^x.x))(a (b a))) REDUCED to normal form. ------ 83966/7283352. ------ 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 (^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. ------ 83967/7283379. ------ 1. ==[ start ]==> ((a (^b.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y) b))) 3. ==[ beta ]==> ((a (^x.a))((a a) b)) REDUCED to normal form. ------ 83968/7283415. ------ 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)(((^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. ------ 83969/7283424. ------ 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 (^x.x))(a a))(a a)) REDUCED to normal form. ------ 83970/7283451. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 83971/7283496. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 83972/7283523. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^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. ------ 83973/7283550. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 83974/7283577. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.b))) REDUCED to normal form. ------ 83975/7283604. ------ 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))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(a a))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 83976/7283640. ------ 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) 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. ------ 83977/7283667. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 83978/7283694. ------ 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. ------ 83979/7283712. ------ 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 a)(^y.y))) 4. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 83980/7283721. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^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. ------ 83981/7283793. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b a) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)((b a) c)) 3. ==[ beta ]==> ((a b)((b a) c)) REDUCED to normal form. ------ 83982/7284018. ------ 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. ------ 83983/7284045. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 83984/7284081. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 83985/7284108. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((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. ------ 83986/7284162. ------ 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)(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(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. ------ 83987/7284216. ------ 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. ------ 83988/7284243. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(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. ------ 83989/7284297. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 83990/7284369. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 83991/7284396. ------ 1. ==[ start ]==> (((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))) 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. ------ 83992/7284477. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a (a a)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 83993/7284504. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 83994/7284657. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 83995/7284711. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a) b)) REDUCED to normal form. ------ 83996/7284855. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^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. ------ 83997/7284882. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.(a a))(^x1.(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 83998/7284909. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)(^c.(^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. ------ 83999/7284963. ------ 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)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))((^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. ------ 84000/7285026. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 84001/7285107. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)((^z.z)(^x1.x1)))) IRREDUCIBLE: cycle. ------ 84002/7285188. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1)(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. ------ 84003/7285215. ------ 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)))) REDUCED to normal form. ------ 84004/7285242. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 84005/7285278. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 84006/7285305. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 84007/7285332. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a))(^b.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. ------ 84008/7285359. ------ 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. ------ 84009/7285386. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 84010/7285422. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^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. ------ 84011/7285449. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a b)(a b))) REDUCED to normal form. ------ 84012/7285476. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 84013/7285503. ------ 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. ------ 84014/7285530. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)(b a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(b a))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(b a))) 6. ==[ alpha ]==> (((^x.x) a)((^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. ------ 84015/7285575. ------ 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)) REDUCED to normal form. ------ 84016/7285584. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(^a.a))(^a.(^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. ------ 84017/7285611. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a))(^b.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. ------ 84018/7285782. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 84019/7285836. ------ 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.z))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(a a))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(a a))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 84020/7285845. ------ 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)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 84021/7285863. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 84022/7285872. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 84023/7285917. ------ 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) a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(a (a a)))) 9. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 11. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 84024/7285998. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^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. ------ 84025/7286097. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 84026/7286124. ------ 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 (^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 84027/7286151. ------ 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) 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. ------ 84028/7286205. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 84029/7286223. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 84030/7286232. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 84031/7286259. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(a b))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 84032/7286286. ------ 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.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. ------ 84033/7286538. ------ 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)))) 5. ==[ beta ]==> (((a a)(^x.x))(b (a a))) REDUCED to normal form. ------ 84034/7286565. ------ 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)(^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. ------ 84035/7286574. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.(^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. ------ 84036/7286601. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(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 a)) REDUCED to normal form. ------ 84037/7286619. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a b)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b)(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 84038/7286655. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a) d)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a) d)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) d)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a) d)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a) d)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84039/7286700. ------ 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 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. ------ 84040/7286826. ------ 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 a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(a a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 84041/7286853. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 84042/7286907. ------ 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.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (a a)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 9. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 10. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84043/7286934. ------ 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)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)((^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))) 9. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 10. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 84044/7286961. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.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. ------ 84045/7286988. ------ 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.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. ------ 84046/7287015. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 84047/7287042. ------ 1. ==[ start ]==> ((a (b a))((^b.(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. ------ 84048/7287213. ------ 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. ------ 84049/7287276. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.b) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 84050/7287321. ------ 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)((^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. ------ 84051/7287348. ------ 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. ------ 84052/7287402. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 84053/7287465. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 84054/7287492. ------ 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. ------ 84055/7287519. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(^a.a))(^b.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. ------ 84056/7287546. ------ 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.(x1 x1)))) REDUCED to normal form. ------ 84057/7287609. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^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. ------ 84058/7287636. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a b)) REDUCED to normal form. ------ 84059/7287663. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(^z.z))) 5. ==[ beta ]==> ((a (a a))((^y.b)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(^y.y))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 84060/7287690. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.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. ------ 84061/7287717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) 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. ------ 84062/7287744. ------ 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 z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 84063/7287771. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.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. ------ 84064/7287825. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.b)) REDUCED to normal form. ------ 84065/7287888. ------ 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 (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 84066/7287969. ------ 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 a))(^y.(a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a 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. ------ 84067/7288194. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a) a)) REDUCED to normal form. ------ 84068/7288347. ------ 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 (a ((a a) a))) REDUCED to normal form. ------ 84069/7288356. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 84070/7288383. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 84071/7288410. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(c c)) REDUCED to normal form. ------ 84072/7288455. ------ 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))((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. ------ 84073/7288482. ------ 1. ==[ start ]==> ((a (^b.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 84074/7288527. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^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. ------ 84075/7288554. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 84076/7288581. ------ 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. ------ 84077/7288608. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^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. ------ 84078/7288635. ------ 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. ------ 84079/7288662. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^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. ------ 84080/7288689. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 8. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 84081/7288716. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 84082/7288770. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.x1))) REDUCED to normal form. ------ 84083/7288806. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((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. ------ 84084/7288833. ------ 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. ------ 84085/7288968. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 84086/7289085. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z)) c)) REDUCED to normal form. ------ 84087/7289130. ------ 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. ------ 84088/7289139. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 84089/7289157. ------ 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. ------ 84090/7289166. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 84091/7289211. ------ 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))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a) a)) REDUCED to normal form. ------ 84092/7289247. ------ 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)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 84093/7289274. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 84094/7289292. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 84095/7289301. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 84096/7289328. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 84097/7289355. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z)) b)) REDUCED to normal form. ------ 84098/7289400. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(a ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84099/7289409. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 84100/7289436. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(^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. ------ 84101/7289472. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a (^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a (^y.a))) 3. ==[ beta ]==> (((a a) b)(a (^y.a))) 4. ==[ alpha ]==> (((a a) b)(a (^x.a))) REDUCED to normal form. ------ 84102/7289499. ------ 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))(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. ------ 84103/7289526. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (b a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a (b a))(a (^y.y))) 6. ==[ alpha ]==> ((a (b a))(a (^x.x))) REDUCED to normal form. ------ 84104/7289553. ------ 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. ------ 84105/7289580. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.(^y1.y1)))) 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)))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 84106/7289607. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(b (^x.x))) REDUCED to normal form. ------ 84107/7289634. ------ 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. ------ 84108/7289661. ------ 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.x1)(a a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 84109/7289688. ------ 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. ------ 84110/7296603. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (^z.z))) 3. ==[ beta ]==> (^y.(b (^z.z))) 4. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 84111/7296675. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^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. ------ 84112/7296846. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 84113/7296945. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(^y.y))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 84114/7296957. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)(^y.(y y)))(^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. ------ 84115/7297170. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 84116/7297296. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 84117/7297728. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> ((((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1))))((a b)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 84118/7297902. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 84119/7298061. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 84120/7298628. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.a)((^x1.x1)(^y1.y1)))((^z.a)((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.a)((^z.z)(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (^x.(a ((^y1.a)((^z1.z1)(^x2.x2))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)((^z.z)(^x1.x1))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 84121/7299045. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(b y))) 3. ==[ eta ]==> ((((^x.x)(a a)) a) b) 4. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 84122/7299510. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a (^z.z))(^x1.(a a)))((a (^z.z))(^x1.(a a))))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.(a a))))(^y1.y1)) REDUCED to normal form. ------ 84123/7299549. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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))) REDUCED to normal form. ------ 84124/7299792. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a 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. ------ 84125/7299801. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 84126/7300266. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(a a)) a)) 3. ==[ eta ]==> (b (((^y.y)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 84127/7300815. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 84128/7301412. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.((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))) REDUCED to normal form. ------ 84129/7301574. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(^c.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. ------ 84130/7301583. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 84131/7301706. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84132/7302021. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^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. ------ 84133/7302357. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(z z)))) 5. ==[ beta ]==> (b (^y.(^z.(z z)))) 6. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 84134/7302366. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 84135/7302528. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.c)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.c)) REDUCED to normal form. ------ 84136/7302627. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 84137/7302636. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 84138/7302699. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.c)) 3. ==[ beta ]==> (((a a) b)(^y.c)) 4. ==[ alpha ]==> (((a a) b)(^x.c)) REDUCED to normal form. ------ 84139/7302753. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.(^a.(^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. ------ 84140/7302861. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.b)) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 84141/7302990. ------ 1. ==[ start ]==> (((^a.a) a)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)((b 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. ------ 84142/7303017. ------ 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. ------ 84143/7303044. ------ 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.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 84144/7303071. ------ 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. ------ 84145/7303098. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 84146/7303125. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^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. ------ 84147/7303152. ------ 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. ------ 84148/7303179. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 84149/7303206. ------ 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 (^x1.(^y1.y1))))) REDUCED to normal form. ------ 84150/7303224. ------ 1. ==[ start ]==> ((a (^b.a))(b (^b.b))) 2. ==[ alpha ]==> ((a (^x.a))(b (^y.y))) REDUCED to normal form. ------ 84151/7303269. ------ 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 (^x.x))(a a))(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.y))) REDUCED to normal form. ------ 84152/7303296. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.(^a.a)))(^a.(^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)))) REDUCED to normal form. ------ 84153/7303305. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 84154/7303386. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.(a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 84155/7303413. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 84156/7303467. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 84157/7303539. ------ 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. ------ 84158/7303566. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 84159/7303575. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.z) b))) 5. ==[ beta ]==> (((^y.y)((^z.z) b))((^y.y)((^z.z) b))) 6. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)((^x1.x1) b))) 7. ==[ beta ]==> (((^y.y) b)((^z.z)((^x1.x1) b))) 8. ==[ alpha ]==> (((^x.x) b)((^y.y)((^z.z) b))) 9. ==[ beta ]==> (b ((^y.y)((^z.z) b))) 10. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 11. ==[ beta ]==> (b ((^y.y) b)) 12. ==[ alpha ]==> (b ((^x.x) b)) 13. ==[ beta ]==> (b b) REDUCED to normal form. ------ 84160/7303602. ------ 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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84161/7303710. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 84162/7303791. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 84163/7303881. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (a (^a.(^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. ------ 84164/7303917. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^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. ------ 84165/7304016. ------ 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. ------ 84166/7304043. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((a b)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (a ((a b)((^x.x)(^y.y)))) 7. ==[ beta ]==> (a ((a b)(^y.y))) 8. ==[ alpha ]==> (a ((a b)(^x.x))) REDUCED to normal form. ------ 84167/7304070. ------ 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. ------ 84168/7304097. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a b)) REDUCED to normal form. ------ 84169/7304124. ------ 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. ------ 84170/7304151. ------ 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. ------ 84171/7304178. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(b a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(b a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 7. ==[ beta ]==> ((a (^y.y))(b a)) 8. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 84172/7304241. ------ 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))) REDUCED to normal form. ------ 84173/7304268. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b a)(^a.(^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. ------ 84174/7304295. ------ 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. ------ 84175/7304322. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(y y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 84176/7304349. ------ 1. ==[ start ]==> ((a ((a a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 84177/7304385. ------ 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 REDUCED to normal form. ------ 84178/7304439. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (a ((^z.(z z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (a ((^x.(x x))((^y.y)(a a)))) 7. ==[ beta ]==> (a (((^y.y)(a a))((^y.y)(a a)))) 8. ==[ alpha ]==> (a (((^x.x)(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. ------ 84179/7304520. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(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. ------ 84180/7304547. ------ 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.(^z1.(^x2.x2)))(^y2.y2))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.y2))) 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. ------ 84181/7304682. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 84182/7304835. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.(^z.z))) 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. ------ 84183/7304853. ------ 1. ==[ start ]==> (((^a.b) a)((b a)(a a))) 2. ==[ alpha ]==> (((^x.b) a)((b a)(a a))) 3. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 84184/7305015. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))(a b))) REDUCED to normal form. ------ 84185/7305042. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) 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. ------ 84186/7305060. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 84187/7305069. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 84188/7305222. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 84189/7305249. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 84190/7305267. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^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. ------ 84191/7305294. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))(^y.b))) REDUCED to normal form. ------ 84192/7305321. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.(a a)))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 84193/7305402. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((b a) a)) REDUCED to normal form. ------ 84194/7305429. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 84195/7305465. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a))(^b.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. ------ 84196/7305492. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(y1 y1)))) 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. ------ 84197/7305546. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.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. ------ 84198/7305627. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 84199/7305636. ------ 1. ==[ start ]==> (((a b) b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 84200/7305663. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(a (b a))) 3. ==[ beta ]==> (((a a) a)(a (b a))) REDUCED to normal form. ------ 84201/7305690. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 84202/7305717. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(a (^z.z)))) REDUCED to normal form. ------ 84203/7305771. ------ 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)(a (a a)))) REDUCED to normal form. ------ 84204/7305798. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 9. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 10. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 11. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 12. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 13. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 14. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 15. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 16. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 17. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 18. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 19. ==[ beta ]==> ((^y.y)(^z.z)) 20. ==[ alpha ]==> ((^x.x)(^y.y)) 21. ==[ beta ]==> (^y.y) 22. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84205/7305825. ------ 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. ------ 84206/7305852. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 84207/7305879. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 84208/7305942. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 84209/7305969. ------ 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. ------ 84210/7305996. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a b)(^b.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. ------ 84211/7306023. ------ 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.(z z)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) 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. ------ 84212/7306050. ------ 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.(^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. ------ 84213/7306077. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 84214/7306104. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 84215/7306131. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 84216/7306167. ------ 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)(^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. ------ 84217/7306302. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 84218/7306383. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^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. ------ 84219/7306419. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 84220/7306446. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> ((a (^x.b))((a a)(a a))) REDUCED to normal form. ------ 84221/7306500. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84222/7306527. ------ 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)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 84223/7306554. ------ 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. ------ 84224/7306581. ------ 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. ------ 84225/7306608. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(a b))) REDUCED to normal form. ------ 84226/7306671. ------ 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))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(^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. ------ 84227/7306698. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b)(^a.(^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. ------ 84228/7306725. ------ 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. ------ 84229/7306752. ------ 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)(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 9. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 10. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 11. ==[ beta ]==> ((^y.y)(^z.(z z))) 12. ==[ alpha ]==> ((^x.x)(^y.(y y))) 13. ==[ beta ]==> (^y.(y y)) 14. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 84230/7306779. ------ 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.(^y.y)))) REDUCED to normal form. ------ 84231/7306806. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 84232/7306833. ------ 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.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 84233/7306860. ------ 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. ------ 84234/7306887. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(a a)) a)) 3. ==[ beta ]==> ((a (b a))((a a) a)) REDUCED to normal form. ------ 84235/7306977. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 84236/7307058. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^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. ------ 84237/7307121. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b)(a a))) REDUCED to normal form. ------ 84238/7307229. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.(a a)))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 84239/7307247. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (^c.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. ------ 84240/7307256. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 84241/7307328. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^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. ------ 84242/7307436. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 84243/7307454. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 84244/7307481. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 84245/7307508. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a b) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a b) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b) a)) 5. ==[ beta ]==> ((a (a a))((a b) a)) REDUCED to normal form. ------ 84246/7307535. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a) a) b)) REDUCED to normal form. ------ 84247/7307715. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 84248/7307814. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (^b.(^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. ------ 84249/7307895. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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) REDUCED to normal form. ------ 84250/7308003. ------ 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))((^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. ------ 84251/7308030. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 84252/7308057. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 84253/7308111. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(^z.a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.a))) 9. ==[ beta ]==> (((a a)(a a))((^y.a)(^y.a))) 10. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 11. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 84254/7308147. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c (a (a a)))) 5. ==[ beta ]==> ((^y.b)(c (a (a a)))) 6. ==[ alpha ]==> ((^x.b)(c (a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 84255/7308192. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 84256/7308201. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 84257/7308228. ------ 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)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 84258/7308255. ------ 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. ------ 84259/7308309. ------ 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)))) REDUCED to normal form. ------ 84260/7308327. ------ 1. ==[ start ]==> ((a (^b.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 84261/7308372. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(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. ------ 84262/7308399. ------ 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. ------ 84263/7308426. ------ 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. ------ 84264/7308453. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 84265/7308480. ------ 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. ------ 84266/7308507. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z) a)) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 84267/7308534. ------ 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. ------ 84268/7308606. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 84269/7308642. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^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. ------ 84270/7308813. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 84271/7308921. ------ 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)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84272/7308930. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (a (^z.z)))) REDUCED to normal form. ------ 84273/7308957. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b ((^y.y) a))) 3. ==[ beta ]==> ((b a)(b ((^y.y) a))) 4. ==[ alpha ]==> ((b a)(b ((^x.x) a))) 5. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 84274/7308975. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^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. ------ 84275/7308984. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 84276/7309011. ------ 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. ------ 84277/7309056. ------ 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)(^y.y))((a a)(^y.y)))(b (^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 84278/7309119. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c b)) REDUCED to normal form. ------ 84279/7309137. ------ 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 ((^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. ------ 84280/7309146. ------ 1. ==[ start ]==> (((a b)(^c.a))(b c)) 2. ==[ alpha ]==> (((a b)(^x.a))(b c)) REDUCED to normal form. ------ 84281/7309245. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84282/7309254. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a ((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 84283/7309281. ------ 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))) REDUCED to normal form. ------ 84284/7309317. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a) c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y) c)) 3. ==[ beta ]==> (((a a) b)((^y.y) c)) 4. ==[ alpha ]==> (((a a) b)((^x.x) c)) 5. ==[ beta ]==> (((a a) b) c) REDUCED to normal form. ------ 84285/7309344. ------ 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))(^y1.y1))) REDUCED to normal form. ------ 84286/7309371. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a)(^a.(^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. ------ 84287/7309398. ------ 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. ------ 84288/7309425. ------ 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. ------ 84289/7309452. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^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. ------ 84290/7309479. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a) b)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x) b)) 3. ==[ beta ]==> (((a b)((a a) a)) b) REDUCED to normal form. ------ 84291/7309506. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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))) REDUCED to normal form. ------ 84292/7309533. ------ 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. ------ 84293/7309586. ------ 1. ==[ start ]==> (^a.((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (^x.((x (^y.(^z.z)))(x (^x1.x1)))) REDUCED to normal form. ------ 84294/7309587. ------ 1. ==[ start ]==> (a ((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 84295/7310535. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^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. ------ 84296/7315260. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.((^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. ------ 84297/7316208. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a))) a) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 84298/7316214. ------ 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))) REDUCED to normal form. ------ 84299/7316241. ------ 1. ==[ start ]==> ((^a.(a a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))((b a)((^y.y) a))) 3. ==[ beta ]==> (((b a)((^y.y) a))((b a)((^y.y) a))) 4. ==[ alpha ]==> (((b a)((^x.x) a))((b a)((^y.y) a))) 5. ==[ beta ]==> (((b a) a)((b a)((^y.y) a))) 6. ==[ alpha ]==> (((b a) a)((b a)((^x.x) a))) 7. ==[ beta ]==> (((b a) a)((b a) a)) REDUCED to normal form. ------ 84300/7316268. ------ 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. ------ 84301/7316349. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)(a b))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 84302/7316505. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 84303/7316709. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 84304/7317159. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(a ((^x1.x1) 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. ------ 84305/7317162. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(^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))(^y.b)) REDUCED to normal form. ------ 84306/7318080. ------ 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. ------ 84307/7318104. ------ 1. ==[ start ]==> ((^a.(a b))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(x b))((b a)(a a))) 3. ==[ beta ]==> (((b a)(a a)) b) REDUCED to normal form. ------ 84308/7318368. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 84309/7318491. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((((a a) a)(^z.(^x1.x1)))(((a a) a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.((((a a) a)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1))))) REDUCED to normal form. ------ 84310/7319412. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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. ------ 84311/7319664. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 84312/7320555. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 84313/7320678. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)(^b.(^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. ------ 84314/7320966. ------ 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 ]==> ((((a a) a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 84315/7321284. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.((a a) a))) REDUCED to normal form. ------ 84316/7321446. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 84317/7321884. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 84318/7321887. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.((^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)(^x.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 84319/7322220. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.d)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.d)) 3. ==[ beta ]==> (((^y.y) b)(^z.d)) 4. ==[ alpha ]==> (((^x.x) b)(^y.d)) 5. ==[ beta ]==> (b (^y.d)) 6. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 84320/7322229. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 84321/7322337. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(z z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 84322/7322418. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.((^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)))(^z.a)) REDUCED to normal form. ------ 84323/7322499. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.a))) REDUCED to normal form. ------ 84324/7322562. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((a a) b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 84325/7322697. ------ 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. ------ 84326/7322724. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.(a a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 84327/7322778. ------ 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. ------ 84328/7322832. ------ 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. ------ 84329/7322844. ------ 1. ==[ start ]==> ((a a)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 84330/7322871. ------ 1. ==[ start ]==> ((a (a a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))((b a)((^x.x) a))) 3. ==[ beta ]==> ((a (a a))((b a) a)) REDUCED to normal form. ------ 84331/7322898. ------ 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. ------ 84332/7322952. ------ 1. ==[ start ]==> (((a a)(a a))((a b)((a a) a))) REDUCED to normal form. ------ 84333/7322979. ------ 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. ------ 84334/7323114. ------ 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. ------ 84335/7323132. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 84336/7323177. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.(^a.a)))(^a.(^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 REDUCED to normal form. ------ 84337/7323204. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.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. ------ 84338/7323258. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.(^y1.y1)))) 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. ------ 84339/7323267. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 84340/7323285. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((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. ------ 84341/7323294. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 84342/7323339. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 84343/7323429. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(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. ------ 84344/7323447. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.(y y))((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 84345/7323474. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 84346/7323510. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 84347/7323528. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b a) c)) 3. ==[ beta ]==> (((^y.y)(^y.y))((b a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a) c)) 5. ==[ beta ]==> ((^y.y)((b a) c)) 6. ==[ alpha ]==> ((^x.x)((b a) c)) 7. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 84348/7323591. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))(^b.(^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. ------ 84349/7323618. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 84350/7323753. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 84351/7323762. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 84352/7323789. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> ((a (^y.y))(a ((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) b))) 5. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 84353/7323798. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 84354/7323825. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^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. ------ 84355/7324086. ------ 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))))) 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. ------ 84356/7324257. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 84357/7324311. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))(^z.(a a)))) 5. ==[ beta ]==> (a ((a (a a))(^z.(a a)))) 6. ==[ alpha ]==> (a ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 84358/7324347. ------ 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) REDUCED to normal form. ------ 84359/7324374. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^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. ------ 84360/7324392. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a a)(^a.(^a.(^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. ------ 84361/7324419. ------ 1. ==[ start ]==> (((^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))) 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) REDUCED to normal form. ------ 84362/7324428. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^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. ------ 84363/7324482. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a))(^b.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. ------ 84364/7324509. ------ 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.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84365/7324536. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)(^b.(^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. ------ 84366/7324680. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (b a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (b a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (b a))) 5. ==[ beta ]==> ((a (^y.y))(b (b a))) 6. ==[ alpha ]==> ((a (^x.x))(b (b a))) REDUCED to normal form. ------ 84367/7324707. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 84368/7324734. ------ 1. ==[ start ]==> ((a (a b))((b a)(a a))) REDUCED to normal form. ------ 84369/7324941. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 84370/7324995. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 84371/7325013. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 84372/7325049. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 84373/7325076. ------ 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. ------ 84374/7325094. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 84375/7325103. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 84376/7325121. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 84377/7325337. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a)) c)) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a)) c)) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a)) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 84378/7325508. ------ 1. ==[ start ]==> (((a b) b)((^a.(^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. ------ 84379/7325580. ------ 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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84380/7325787. ------ 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. ------ 84381/7325940. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 84382/7326039. ------ 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)(^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. ------ 84383/7326183. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 84384/7326210. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 84385/7326237. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 84386/7326291. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 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. ------ 84387/7326336. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(a a)) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(a a)) b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a)) b)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 84388/7326516. ------ 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.y)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 84389/7327038. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.a) c)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a) c)) 3. ==[ beta ]==> ((b a)((^y.a) c)) 4. ==[ alpha ]==> ((b a)((^x.a) c)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 84390/7327128. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (^y.a))) REDUCED to normal form. ------ 84391/7327182. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 84392/7327200. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a b)(^y.y))) 3. ==[ beta ]==> (b ((a b)(^y.y))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 84393/7327209. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b)(a a))) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 84394/7327236. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 84395/7327263. ------ 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))((^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. ------ 84396/7327308. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)(^b.(^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. ------ 84397/7327542. ------ 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. ------ 84398/7327596. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)(a a))) REDUCED to normal form. ------ 84399/7327767. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 84400/7327875. ------ 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.(^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. ------ 84401/7327884. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 84402/7327911. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 84403/7327929. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 84404/7327992. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 84405/7328019. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.b)((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(z z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 84406/7328073. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 84407/7328217. ------ 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)))) 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. ------ 84408/7328325. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c d)) 3. ==[ beta ]==> (((^y.y)(a b))(c d)) 4. ==[ alpha ]==> (((^x.x)(a b))(c d)) 5. ==[ beta ]==> ((a b)(c d)) REDUCED to normal form. ------ 84409/7328478. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 84410/7328487. ------ 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. ------ 84411/7328514. ------ 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 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. ------ 84412/7328523. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^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. ------ 84413/7328550. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(z1 z1)) b)) 3. ==[ beta ]==> ((^y.y)((^z1.(z1 z1)) 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. ------ 84414/7328685. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 84415/7328793. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84416/7328802. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 84417/7328829. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^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. ------ 84418/7328856. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)(^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. ------ 84419/7328874. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) 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. ------ 84420/7328964. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.(z z)))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.(y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 84421/7328991. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 84422/7329009. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((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. ------ 84423/7329018. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 84424/7329045. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 84425/7329072. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 84426/7329126. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.a)) REDUCED to normal form. ------ 84427/7329153. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(c (^z.z))) 3. ==[ beta ]==> ((b (^y.y))(c (^z.z))) 4. ==[ alpha ]==> ((b (^x.x))(c (^y.y))) REDUCED to normal form. ------ 84428/7329189. ------ 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. ------ 84429/7329243. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b b)) 3. ==[ beta ]==> ((a (b a))(b b)) REDUCED to normal form. ------ 84430/7329297. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(b (a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b (a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (a a))) 5. ==[ beta ]==> (((^y.y)(a a))(b (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(b (a a))) 7. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 84431/7329324. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(a (a (^x.x)))) REDUCED to normal form. ------ 84432/7329351. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 84433/7329378. ------ 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)) REDUCED to normal form. ------ 84434/7329405. ------ 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. ------ 84435/7329459. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a a)) REDUCED to normal form. ------ 84436/7330416. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^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. ------ 84437/7333386. ------ 1. ==[ start ]==> ((^a.(b a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.((^z.z)(a a)))) 3. ==[ eta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 84438/7335141. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(^b.(^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. ------ 84439/7336089. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a))) b) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z))) b) REDUCED to normal form. ------ 84440/7336113. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84441/7336194. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 84442/7336356. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 84443/7336428. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(a a))) 3. ==[ eta ]==> ((^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. ------ 84444/7336698. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(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))))((^y.(^z.z))(a (^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.(^z1.z1))(a (^x2.(^y2.y2))))((^z2.(^x3.x3))(a (^y3.(^z3.z3)))))) 5. ==[ beta ]==> ((^y.y)(((^y1.(^z1.z1))(a (^x2.(^y2.y2))))((^z2.(^x3.x3))(a (^y3.(^z3.z3)))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a (^x1.(^y1.y1))))((^z1.(^x2.x2))(a (^y2.(^z2.z2)))))) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.(^y1.y1))))((^z1.(^x2.x2))(a (^y2.(^z2.z2))))) 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. ------ 84445/7337049. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(^b.b))) 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. ------ 84446/7337052. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 84447/7337061. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 84448/7337376. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 84449/7337481. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((((^y.(a a))(a (a a)))((^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))))((^z.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.(a a))(a (a a))))((^z.(a a))(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.(a a))(a (a a))))((^y.(a a))(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a))(a (a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a (a a)))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 84450/7337970. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 84451/7338537. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(y a))) REDUCED to normal form. ------ 84452/7338816. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(b z))) 3. ==[ eta ]==> (((^x.x)((^y.y)(a a))) b) 4. ==[ beta ]==> (((^y.y)(a a)) b) 5. ==[ alpha ]==> (((^x.x)(a a)) b) 6. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 84453/7339263. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> ((((^z.a)(a b))((^z.a)(a b)))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(a b))((^y.a)(a b)))(^z.z)) 5. ==[ beta ]==> ((a ((^y.a)(a b)))(^z.z)) 6. ==[ alpha ]==> ((a ((^x.a)(a b)))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 84454/7340019. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)((^z.z)(a a)))) 3. ==[ eta ]==> (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. ------ 84455/7340022. ------ 1. ==[ start ]==> ((a (b a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (b a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((a (b a))(^x.(a a))) REDUCED to normal form. ------ 84456/7340643. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x) a)((^y.y)(a a))) a) 4. ==[ beta ]==> ((a ((^y.y)(a a))) a) 5. ==[ alpha ]==> ((a ((^x.x)(a a))) a) 6. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 84457/7341459. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84458/7341507. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.y))) REDUCED to normal form. ------ 84459/7341642. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.((^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))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 84460/7341774. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 84461/7341777. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(^b.(^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. ------ 84462/7341786. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^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))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 84463/7342119. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.d)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.d)) REDUCED to normal form. ------ 84464/7342137. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(y1 (y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 (y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 84465/7342308. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.(^b.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. ------ 84466/7342479. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.x1))) REDUCED to normal form. ------ 84467/7342533. ------ 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. ------ 84468/7342587. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 84469/7342641. ------ 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)))) REDUCED to normal form. ------ 84470/7342668. ------ 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. ------ 84471/7342722. ------ 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. ------ 84472/7342752. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 84473/7342779. ------ 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. ------ 84474/7342806. ------ 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. ------ 84475/7342833. ------ 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)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 84476/7342887. ------ 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 ]==> ((^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. ------ 84477/7342914. ------ 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.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. ------ 84478/7342941. ------ 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. ------ 84479/7342968. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^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. ------ 84480/7342995. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 84481/7343013. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 84482/7343067. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(a a))) 3. ==[ beta ]==> ((a a)((^y.y)(a a))) 4. ==[ alpha ]==> ((a a)((^x.x)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 84483/7343112. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a)(^y.a))) REDUCED to normal form. ------ 84484/7343139. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 84485/7343166. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 84486/7343193. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.a))) REDUCED to normal form. ------ 84487/7343220. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.b))) REDUCED to normal form. ------ 84488/7343256. ------ 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) 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. ------ 84489/7343283. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 84490/7343310. ------ 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. ------ 84491/7343328. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^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))))) REDUCED to normal form. ------ 84492/7343337. ------ 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))))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 84493/7343409. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 84494/7343436. ------ 1. ==[ start ]==> (((a (a a)) a)((b a) c)) REDUCED to normal form. ------ 84495/7343580. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 84496/7343661. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 84497/7343688. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(^b.b))) 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))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 84498/7343697. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84499/7343724. ------ 1. ==[ start ]==> (((^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))) 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. ------ 84500/7343778. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 9. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 84501/7343787. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y)) d)) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 84502/7343832. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a b)((^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. ------ 84503/7343859. ------ 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. ------ 84504/7343913. ------ 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. ------ 84505/7343985. ------ 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))))) 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. ------ 84506/7344012. ------ 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. ------ 84507/7344039. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a a))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 84508/7344120. ------ 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. ------ 84509/7344246. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 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. ------ 84510/7344327. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) REDUCED to normal form. ------ 84511/7344354. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((b a) b)) 3. ==[ beta ]==> ((a (^y.(y y)))((b a) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((b a) b)) REDUCED to normal form. ------ 84512/7344381. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 84513/7344498. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 84514/7344525. ------ 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.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((a (a (a a)))((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 84515/7344552. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 84516/7344606. ------ 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))))) 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. ------ 84517/7344624. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 84518/7344642. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((b a)(a a))) 3. ==[ beta ]==> ((^y.b)((b a)(a a))) 4. ==[ alpha ]==> ((^x.b)((b a)(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 84519/7344723. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(a (a a)))) IRREDUCIBLE: cycle. ------ 84520/7344804. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))(a b))) 3. ==[ beta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 84521/7344831. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)((^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. ------ 84522/7344858. ------ 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)((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. ------ 84523/7344921. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((b a)(^y.y))) REDUCED to normal form. ------ 84524/7344948. ------ 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))(^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. ------ 84525/7344975. ------ 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. ------ 84526/7345002. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 84527/7345038. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 84528/7345065. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))((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. ------ 84529/7345092. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(a b))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a b))) 7. ==[ beta ]==> ((a (^x.x))((a b)(a b))) REDUCED to normal form. ------ 84530/7345119. ------ 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. ------ 84531/7345146. ------ 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.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. ------ 84532/7345173. ------ 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. ------ 84533/7345191. ------ 1. ==[ start ]==> (((^a.b) b)((b a) a)) 2. ==[ alpha ]==> (((^x.b) b)((b a) a)) 3. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 84534/7345398. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 84535/7345452. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(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. ------ 84536/7345479. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((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. ------ 84537/7345488. ------ 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))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 84538/7345533. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)((^x1.x1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b)((^x1.x1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z) a))) 9. ==[ beta ]==> ((^y.y)((a b)((^z.z) a))) 10. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 11. ==[ beta ]==> ((a b)((^y.y) a)) 12. ==[ alpha ]==> ((a b)((^x.x) a)) 13. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 84539/7345614. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a))((a a) a))) 3. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 84540/7345686. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(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. ------ 84541/7345767. ------ 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 a)) REDUCED to normal form. ------ 84542/7345794. ------ 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) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a (a a))((^y.b)((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))((^x.b)((^y.y) a))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 84543/7345839. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 84544/7345848. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 84545/7345875. ------ 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. ------ 84546/7345902. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(a b))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 84547/7346181. ------ 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)(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))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 84548/7346217. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 84549/7346235. ------ 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. ------ 84550/7346271. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84551/7346316. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 84552/7346415. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (^y.(a a)))) REDUCED to normal form. ------ 84553/7346469. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(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 a)) REDUCED to normal form. ------ 84554/7346496. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 84555/7346550. ------ 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. ------ 84556/7346577. ------ 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)(^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. ------ 84557/7346604. ------ 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 a) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)((a a) a))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 84558/7346631. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^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. ------ 84559/7346658. ------ 1. ==[ start ]==> ((a (b a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (b a))((^y.y)(a a))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(a a))) 5. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 84560/7346829. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 84561/7346892. ------ 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)(^x.x)) b)(a a)) REDUCED to normal form. ------ 84562/7346937. ------ 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. ------ 84563/7346964. ------ 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))((^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. ------ 84564/7347018. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a b)(a b))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a b)(a b))(a (^y.y))) 8. ==[ alpha ]==> (((a b)(a b))(a (^x.x))) REDUCED to normal form. ------ 84565/7347108. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 84566/7347135. ------ 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. ------ 84567/7347162. ------ 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)(^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. ------ 84568/7347225. ------ 1. ==[ start ]==> (((a a)(b a))((^b.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. ------ 84569/7347252. ------ 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.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. ------ 84570/7347279. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)(a b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(a b))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a b))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a b))) 7. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 84571/7347306. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 84572/7347360. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^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. ------ 84573/7347387. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 84574/7347414. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)(^b.(^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. ------ 84575/7347486. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84576/7347504. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 84577/7347585. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((a a)(((^z.z) 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. ------ 84578/7347783. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 84579/7347891. ------ 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. ------ 84580/7347963. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 84581/7348026. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(^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. ------ 84582/7348071. ------ 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)((^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. ------ 84583/7348098. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 84584/7348116. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 84585/7348143. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.a))) REDUCED to normal form. ------ 84586/7348170. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 84587/7348197. ------ 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. ------ 84588/7348224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 84589/7348251. ------ 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. ------ 84590/7348278. ------ 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)(^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)(^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 84591/7348305. ------ 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)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 84592/7348332. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 84593/7348386. ------ 1. ==[ start ]==> (((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 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 84594/7348413. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(^b.(^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. ------ 84595/7348422. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 84596/7348449. ------ 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))(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. ------ 84597/7348584. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d b)) 3. ==[ beta ]==> (b (d b)) REDUCED to normal form. ------ 84598/7348701. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a b)) REDUCED to normal form. ------ 84599/7348728. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 84600/7348746. ------ 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))) 7. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 84601/7348773. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(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. ------ 84602/7348782. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 84603/7348827. ------ 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 (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 84604/7348890. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 84605/7348908. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 84606/7348917. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 84607/7348944. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 84608/7348971. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z) a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 84609/7349016. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 84610/7349052. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.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. ------ 84611/7349088. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(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. ------ 84612/7349115. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.a))) REDUCED to normal form. ------ 84613/7349142. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(^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))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 84614/7349169. ------ 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. ------ 84615/7349196. ------ 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))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 84616/7349223. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)(^a.(^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. ------ 84617/7349250. ------ 1. ==[ start ]==> (((a b)((a a) a))(b (^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(b (^x.x))) REDUCED to normal form. ------ 84618/7349277. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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)))) REDUCED to normal form. ------ 84619/7349304. ------ 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. ------ 84620/7349358. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 84621/7349375. ------ 1. ==[ start ]==> (^a.((^b.b) b)) 2. ==[ alpha ]==> (^x.((^y.y) b)) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 84622/7349376. ------ 1. ==[ start ]==> (a ((^b.b) b)) 2. ==[ alpha ]==> (a ((^x.x) b)) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 84623/7353294. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(a a)))) 3. ==[ eta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 84624/7356021. ------ 1. ==[ start ]==> ((^a.a)((^b.b) b)) 2. ==[ alpha ]==> ((^x.x)((^y.y) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 84625/7356273. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(c (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 84626/7356312. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 84627/7356345. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) b)(^x1.x1))) 3. ==[ eta ]==> ((^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. ------ 84628/7356615. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(^z.(^x1.(^y1.y1))))(((a (^y.y))(^z.(^x1.(^y1.y1))))((a (^y.y))(^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a (^y1.y1))(^z1.(^x2.(^y2.y2))))((a (^z2.z2))(^x3.(^y3.(^z3.z3)))))) REDUCED to normal form. ------ 84629/7356654. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 84630/7356840. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 84631/7356978. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^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. ------ 84632/7357398. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((((^y.y)(a a))(^z.(z z)))(((^y.y)(a a))(^z.(z z))))(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1))))(((^y1.y1)(a a))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((((a a)(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1))))(((^y1.y1)(a a))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((((a a)(^x.(x x)))(((^y.y)(a a))(^z.(z z))))(((^x1.x1)(a a))(^y1.(y1 y1)))) 7. ==[ beta ]==> ((((a a)(^x.(x x)))((a a)(^z.(z z))))(((^x1.x1)(a a))(^y1.(y1 y1)))) 8. ==[ alpha ]==> ((((a a)(^x.(x x)))((a a)(^y.(y y))))(((^z.z)(a a))(^x1.(x1 x1)))) 9. ==[ beta ]==> ((((a a)(^x.(x x)))((a a)(^y.(y y))))((a a)(^x1.(x1 x1)))) 10. ==[ alpha ]==> ((((a a)(^x.(x x)))((a a)(^y.(y y))))((a a)(^z.(z z)))) REDUCED to normal form. ------ 84633/7357599. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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)))) REDUCED to normal form. ------ 84634/7357731. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 84635/7357905. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(a (^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))))) REDUCED to normal form. ------ 84636/7357911. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1))) a) b) 4. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 84637/7358175. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(b a))) REDUCED to normal form. ------ 84638/7358193. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 84639/7358298. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (^y.(((^z.b)(a (a a)))((^z.b)(a (a a))))) 4. ==[ alpha ]==> (^x.(((^y.b)(a (a a)))((^z.b)(a (a a))))) 5. ==[ beta ]==> (^x.(b ((^z.b)(a (a a))))) 6. ==[ alpha ]==> (^x.(b ((^y.b)(a (a a))))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 84640/7358505. ------ 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)) REDUCED to normal form. ------ 84641/7358742. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(b y))) 3. ==[ eta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 84642/7359180. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((((^z.z) a)(^x1.b))(((^z.z) a)(^x1.b)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)(^y.b))(((^z.z) a)(^x1.b)))(^y1.y1)) 5. ==[ beta ]==> (((a (^y.b))(((^z.z) a)(^x1.b)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.b))(((^y.y) a)(^z.b)))(^x1.x1)) 7. ==[ beta ]==> (((a (^x.b))(a (^z.b)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.b))(a (^y.b)))(^z.z)) REDUCED to normal form. ------ 84643/7359498. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 84644/7359936. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(^y.(a a)))) 3. ==[ eta ]==> (b ((a a)(^y.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 84645/7359939. ------ 1. ==[ start ]==> ((a (b a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 84646/7360173. ------ 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)(^x.x)) b)(^y.(y y))) REDUCED to normal form. ------ 84647/7360362. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a b))) REDUCED to normal form. ------ 84648/7360380. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.(y y)))) 3. ==[ beta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 84649/7360485. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 84650/7360767. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(x1 b))) 3. ==[ beta ]==> ((^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. ------ 84651/7360773. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.b) a)) 3. ==[ beta ]==> (((^x1.b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.b) a)(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 84652/7360947. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (b (^x1.(^y1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 84653/7361109. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 84654/7361280. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.((z z) z))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.((z z) z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((y y) y))) REDUCED to normal form. ------ 84655/7361376. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84656/7361559. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(^b.(^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. ------ 84657/7361703. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(^b.(^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. ------ 84658/7362054. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 84659/7362063. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(y1 (y1 y1)))) REDUCED to normal form. ------ 84660/7362144. ------ 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. ------ 84661/7362333. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) b)(^y.y))(^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. ------ 84662/7362396. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.c)) REDUCED to normal form. ------ 84663/7362504. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.b)) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.b)) REDUCED to normal form. ------ 84664/7362558. ------ 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)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 84665/7362639. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.a)) REDUCED to normal form. ------ 84666/7362669. ------ 1. ==[ start ]==> ((a a)((^b.b) b)) 2. ==[ alpha ]==> ((a a)((^x.x) b)) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 84667/7362687. ------ 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)))) REDUCED to normal form. ------ 84668/7362714. ------ 1. ==[ start ]==> (((a a) a)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)((b a)((^x.x) a))) 3. ==[ beta ]==> (((a a) a)((b a) a)) REDUCED to normal form. ------ 84669/7362741. ------ 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. ------ 84670/7362768. ------ 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. ------ 84671/7362795. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 84672/7362822. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)(a b))) REDUCED to normal form. ------ 84673/7362849. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a a))) 7. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 84674/7362876. ------ 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. ------ 84675/7362903. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (b a))) REDUCED to normal form. ------ 84676/7362921. ------ 1. ==[ start ]==> ((a (^b.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 84677/7362957. ------ 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)((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. ------ 84678/7362993. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((a ((^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. ------ 84679/7363002. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 84680/7363029. ------ 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 (^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 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. ------ 84681/7363110. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 84682/7363182. ------ 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) 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. ------ 84683/7363263. ------ 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. ------ 84684/7363272. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.(^z.z))(a (^x1.(^y1.y1))))((^y.(^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 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. ------ 84685/7363299. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 84686/7363353. ------ 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 ]==> (((^y.y)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 84687/7363461. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(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. ------ 84688/7363488. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 84689/7363578. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (b a))) 3. ==[ beta ]==> ((b b)(c (b a))) REDUCED to normal form. ------ 84690/7363623. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(^b.b))) 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. ------ 84691/7363713. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 84692/7363740. ------ 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)))) 7. ==[ beta ]==> (a ((a a)(a (a a)))) REDUCED to normal form. ------ 84693/7363767. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 84694/7363794. ------ 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. ------ 84695/7363821. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(a b))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(a b))) 7. ==[ beta ]==> ((a (^x.a))(a b)) REDUCED to normal form. ------ 84696/7363848. ------ 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. ------ 84697/7363875. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 7. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 8. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 84698/7363965. ------ 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.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x) 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))) REDUCED to normal form. ------ 84699/7363992. ------ 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. ------ 84700/7364019. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.a))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 84701/7364046. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 84702/7364082. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1)(^x2.x2)))) 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. ------ 84703/7364136. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a b))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 84704/7364217. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^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. ------ 84705/7364244. ------ 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)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(a (^z1.(^x2.x2))))) 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. ------ 84706/7364379. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 84707/7364550. ------ 1. ==[ start ]==> (((^a.b) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 84708/7364559. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 84709/7364712. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^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. ------ 84710/7364739. ------ 1. ==[ start ]==> (((a b) a)((a (a a))(a b))) REDUCED to normal form. ------ 84711/7364766. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.b))(a (a a))) REDUCED to normal form. ------ 84712/7364820. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 84713/7364838. ------ 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 a)))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 84714/7364919. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 84715/7364946. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 84716/7364964. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 84717/7365018. ------ 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))(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 84718/7365045. ------ 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. ------ 84719/7365126. ------ 1. ==[ start ]==> (((a b)(a a))((b a) a)) REDUCED to normal form. ------ 84720/7365153. ------ 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)) REDUCED to normal form. ------ 84721/7365162. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(^a.a))(^a.(^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. ------ 84722/7365189. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a))(^b.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. ------ 84723/7365243. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.x2)))) 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. ------ 84724/7365324. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 84725/7365333. ------ 1. ==[ start ]==> (((a b) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)(c ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) b)(c (a a))) REDUCED to normal form. ------ 84726/7365360. ------ 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. ------ 84727/7365387. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (b a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (b a))) REDUCED to normal form. ------ 84728/7365414. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 84729/7365468. ------ 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) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 84730/7365495. ------ 1. ==[ start ]==> ((((^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 a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(((a a) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a)(a (a a)))) 7. ==[ beta ]==> ((((a a) a)(a (a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 84731/7365522. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 8. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 84732/7365549. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 84733/7365576. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a b))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a b))) REDUCED to normal form. ------ 84734/7365666. ------ 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))(^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))) REDUCED to normal form. ------ 84735/7365693. ------ 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.(^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. ------ 84736/7365720. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a b)(^b.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. ------ 84737/7365747. ------ 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 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. ------ 84738/7365774. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 84739/7365828. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.b))) REDUCED to normal form. ------ 84740/7365864. ------ 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.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. ------ 84741/7365999. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 84742/7366080. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 84743/7366107. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^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. ------ 84744/7366116. ------ 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. ------ 84745/7366143. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.b))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 84746/7366197. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84747/7366224. ------ 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.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(((a a) a) a)) REDUCED to normal form. ------ 84748/7366251. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 84749/7366278. ------ 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)(^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. ------ 84750/7366305. ------ 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))(^y.y))(a ((a a) a))) REDUCED to normal form. ------ 84751/7366395. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 84752/7366422. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 84753/7366449. ------ 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 a) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.a))) 7. ==[ beta ]==> ((^y.y)(((a a) a)(^z.a))) 8. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 9. ==[ beta ]==> (((a a) a)(^y.a)) 10. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 84754/7366476. ------ 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 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)))) 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. ------ 84755/7366503. ------ 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. ------ 84756/7366557. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 84757/7366584. ------ 1. ==[ start ]==> ((a (b a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 84758/7366674. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a)(^b.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. ------ 84759/7366755. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.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. ------ 84760/7366818. ------ 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)(^x.x)) b)(a (a a))) REDUCED to normal form. ------ 84761/7366926. ------ 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. ------ 84762/7366953. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.b))(a (^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.y))) REDUCED to normal form. ------ 84763/7367007. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 84764/7367025. ------ 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 (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 84765/7367133. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 84766/7367151. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(^b.(^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. ------ 84767/7367205. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)(^z.b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)(^z.b))) 4. ==[ alpha ]==> ((a ((^x.x)(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. ------ 84768/7367232. ------ 1. ==[ start ]==> (((a (a a))(a b))((a b) a)) REDUCED to normal form. ------ 84769/7367259. ------ 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. ------ 84770/7367412. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 84771/7367421. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b) a)) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 84772/7367592. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> (b (a (^x1.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 84773/7367700. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 84774/7367727. ------ 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))((^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. ------ 84775/7367754. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 84776/7367808. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 84777/7367889. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))(^b.(^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. ------ 84778/7367898. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b ((^z.z)(^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. ------ 84779/7367925. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((a a) a))) REDUCED to normal form. ------ 84780/7367952. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 84781/7368006. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a ((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a ((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 84782/7368024. ------ 1. ==[ start ]==> ((a (^b.b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(c (^y.(y y)))) REDUCED to normal form. ------ 84783/7368096. ------ 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))(^y1.y1))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^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. ------ 84784/7368123. ------ 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. ------ 84785/7368150. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 84786/7368177. ------ 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. ------ 84787/7368204. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)(^b.(^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. ------ 84788/7368231. ------ 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. ------ 84789/7368258. ------ 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)(^x.x)) a)((a (a a)) b)) REDUCED to normal form. ------ 84790/7368303. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(c ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84791/7368348. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(^b.(^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. ------ 84792/7368510. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 84793/7368618. ------ 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. ------ 84794/7368654. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c (a (^y.y)))) 3. ==[ beta ]==> ((b a)(c (a (^y.y)))) 4. ==[ alpha ]==> ((b a)(c (a (^x.x)))) REDUCED to normal form. ------ 84795/7368672. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a))(^b.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. ------ 84796/7368681. ------ 1. ==[ start ]==> (((a a)(^b.b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 84797/7368699. ------ 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)(^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. ------ 84798/7368708. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (a (a a)))) REDUCED to normal form. ------ 84799/7368789. ------ 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. ------ 84800/7368834. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^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. ------ 84801/7368843. ------ 1. ==[ start ]==> (((a b)(^c.a))(c b)) 2. ==[ alpha ]==> (((a b)(^x.a))(c b)) REDUCED to normal form. ------ 84802/7368870. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 84803/7368942. ------ 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.(^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. ------ 84804/7368951. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (a (^y1.y1)))) REDUCED to normal form. ------ 84805/7368978. ------ 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 (^x.x))(a a)) REDUCED to normal form. ------ 84806/7369014. ------ 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) b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 84807/7369068. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(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. ------ 84808/7369095. ------ 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. ------ 84809/7369122. ------ 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 (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z)) a)) 5. ==[ beta ]==> (((^y.y)(a a))((a (^z.z)) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y)) a)) 7. ==[ beta ]==> ((a a)((a (^y.y)) a)) 8. ==[ alpha ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 84810/7369149. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a) b)) REDUCED to normal form. ------ 84811/7369176. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^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. ------ 84812/7369203. ------ 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)(^y.y))((^z.z) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 84813/7369230. ------ 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. ------ 84814/7369284. ------ 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 (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 84815/7369310. ------ 1. ==[ start ]==> (^a.(((^a.a) b)(a a))) 2. ==[ alpha ]==> (^x.(((^y.y) b)(x x))) 3. ==[ beta ]==> (^x.(b (x x))) REDUCED to normal form. ------ 84816/7369311. ------ 1. ==[ start ]==> (a (((^a.a) b)(a a))) 2. ==[ alpha ]==> (a (((^x.x) b)(a a))) 3. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 84817/7371204. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(a (^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 ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 84818/7374066. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(x1 b))) 3. ==[ beta ]==> ((^x1.(x1 b))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(x b))(^y.(^z.z))) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84819/7375959. ------ 1. ==[ start ]==> ((((^a.a) b)(a a)) a) 2. ==[ alpha ]==> ((((^x.x) b)(a a)) a) 3. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 84820/7375965. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) 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. ------ 84821/7375974. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.b) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84822/7375992. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^x1.x1)))((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) REDUCED to normal form. ------ 84823/7376019. ------ 1. ==[ start ]==> ((^a.b)((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((b a)((^y.y) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 84824/7376100. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)((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. ------ 84825/7376460. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)(^z.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 84826/7376598. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 84827/7376910. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (a (^a.(^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. ------ 84828/7377552. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 84829/7377849. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 84830/7377855. ------ 1. ==[ start ]==> ((^a.(a b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a (^y.(^z.z)))) b) 4. ==[ alpha ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 84831/7377858. ------ 1. ==[ start ]==> ((a (a b))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 84832/7378146. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 84833/7378242. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (^y.(((a b)(^z.(z z)))((a b)(^z.(z z))))) 4. ==[ alpha ]==> (^x.(((a b)(^y.(y y)))((a b)(^z.(z z))))) REDUCED to normal form. ------ 84834/7378416. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(b a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(y a))) 3. ==[ beta ]==> (b (^y.(y a))) 4. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 84835/7378938. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 84836/7379442. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 84837/7380117. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(a a)))) REDUCED to normal form. ------ 84838/7380333. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 84839/7380429. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 84840/7380711. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^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. ------ 84841/7380717. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (a b))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 84842/7380720. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(z b))) REDUCED to normal form. ------ 84843/7381053. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(^c.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. ------ 84844/7381224. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 84845/7381368. ------ 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))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.z))) REDUCED to normal form. ------ 84846/7381635. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 84847/7382007. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) REDUCED to normal form. ------ 84848/7382115. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 84849/7382196. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^z.a)) REDUCED to normal form. ------ 84850/7382277. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.(^b.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. ------ 84851/7382475. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 84852/7382583. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 84853/7382610. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.a)) 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. ------ 84854/7382622. ------ 1. ==[ start ]==> ((a a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a a)(((^x.x) b)(a a))) 3. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 84855/7382631. ------ 1. ==[ start ]==> ((a (^a.a))((^b.b) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 84856/7382649. ------ 1. ==[ start ]==> ((a (a a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 84857/7382676. ------ 1. ==[ start ]==> ((a b)((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a b)((b a)((^x.x) a))) 3. ==[ beta ]==> ((a b)((b a) a)) REDUCED to normal form. ------ 84858/7382730. ------ 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.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. ------ 84859/7382757. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)((a a) a))) REDUCED to normal form. ------ 84860/7382892. ------ 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. ------ 84861/7382910. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 84862/7382919. ------ 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. ------ 84863/7382955. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> ((^y.a)(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) b)(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 84864/7382982. ------ 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.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 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. ------ 84865/7382991. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 84866/7383036. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (a (((a a)(^y.y))(^z.(z z)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 84867/7383045. ------ 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. ------ 84868/7383063. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^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. ------ 84869/7383072. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 84870/7383099. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((a a) a))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 84871/7383117. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.b))) REDUCED to normal form. ------ 84872/7383207. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(b a))) 3. ==[ beta ]==> ((a a)((^y.a)(b a))) 4. ==[ alpha ]==> ((a a)((^x.a)(b a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 84873/7383225. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^y.y))(^z.(^x1.(^y1.y1))))((a (^y.y))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) REDUCED to normal form. ------ 84874/7383252. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 84875/7383288. ------ 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))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 84876/7383306. ------ 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 ]==> (((^y.y)(^y.y))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) b)) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 7. ==[ beta ]==> ((a (^y.(^z.z))) b) 8. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 84877/7383315. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.(^a.a)))(^a.(^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. ------ 84878/7383333. ------ 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. ------ 84879/7383369. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 84880/7383396. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))(^b.(^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 a)) REDUCED to normal form. ------ 84881/7383423. ------ 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. ------ 84882/7383567. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (a (^a.(^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. ------ 84883/7383603. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 84884/7383864. ------ 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)(^y.y))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 84885/7383891. ------ 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. ------ 84886/7384035. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 84887/7384089. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.b))) 7. ==[ beta ]==> (a ((^y.y)(^z.b))) 8. ==[ alpha ]==> (a ((^x.x)(^y.b))) 9. ==[ beta ]==> (a (^y.b)) 10. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 84888/7384125. ------ 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)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (b ((^y.(y y))((^z.z)(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. ------ 84889/7384152. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 84890/7384197. ------ 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)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.(^x2.x2))))) 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. ------ 84891/7384206. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 84892/7384233. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 84893/7384251. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((b a) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) 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)) 7. ==[ beta ]==> ((a a)((b a) b)) REDUCED to normal form. ------ 84894/7384314. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 84895/7384485. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (b a))) REDUCED to normal form. ------ 84896/7384503. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 84897/7384512. ------ 1. ==[ start ]==> ((a (a b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 84898/7384521. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 84899/7384800. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 84900/7384872. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a))(^b.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. ------ 84901/7384881. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 84902/7384899. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 84903/7385070. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.b) b)((^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. ------ 84904/7385115. ------ 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. ------ 84905/7385142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(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. ------ 84906/7385286. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 84907/7385412. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(a a)) c)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a)) c)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a)) c)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a)) c)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a)) c)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) c)) 9. ==[ beta ]==> ((^y.y)((^z.(a a)) c)) 10. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 11. ==[ beta ]==> ((^y.(a a)) c) 12. ==[ alpha ]==> ((^x.(a a)) c) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 84908/7385565. ------ 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)(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 (^x.x))(a a))) REDUCED to normal form. ------ 84909/7385592. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 84910/7385718. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 84911/7385817. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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. ------ 84912/7385961. ------ 1. ==[ start ]==> (((a b) c)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 84913/7385988. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 84914/7386069. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^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. ------ 84915/7386096. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.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. ------ 84916/7386195. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a) d)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 84917/7386294. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 84918/7386321. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a)(a a))) REDUCED to normal form. ------ 84919/7386627. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a) a) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a) a) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a) c)) 5. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 84920/7386771. ------ 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)(^x.x)) b)(^z.(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 84921/7386816. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.b) b)) 3. ==[ beta ]==> ((b a)((^y.b) b)) 4. ==[ alpha ]==> ((b a)((^x.b) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 84922/7386960. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 84923/7386987. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 84924/7387014. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.b)(a a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(a a))) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 84925/7387086. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(^x1.(x1 x1)))) REDUCED to normal form. ------ 84926/7387365. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84927/7387374. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (a b))) REDUCED to normal form. ------ 84928/7387383. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.b) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.b) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 84929/7387653. ------ 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 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. ------ 84930/7387662. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 84931/7387680. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 84932/7387689. ------ 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))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 84933/7387707. ------ 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)((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. ------ 84934/7387761. ------ 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 a))((^y.y)(a a)))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z)) b)) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y)) b)) 9. ==[ beta ]==> (((a a)(a a))((^y.y) b)) 10. ==[ alpha ]==> (((a a)(a a))((^x.x) b)) 11. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 84935/7387770. ------ 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. ------ 84936/7387797. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 84937/7387851. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^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. ------ 84938/7387995. ------ 1. ==[ start ]==> (((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)))) REDUCED to normal form. ------ 84939/7388022. ------ 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 (^x.x))(b a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.y))) REDUCED to normal form. ------ 84940/7388256. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 84941/7388292. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b (a (a a)))) 3. ==[ beta ]==> ((a b)(b (a (a a)))) REDUCED to normal form. ------ 84942/7388328. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2)) a)) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2)) 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. ------ 84943/7388463. ------ 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. ------ 84944/7388571. ------ 1. ==[ start ]==> (((^a.(^a.(^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))((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. ------ 84945/7388580. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 84946/7388607. ------ 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)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 84947/7388625. ------ 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)) REDUCED to normal form. ------ 84948/7388634. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 84949/7388661. ------ 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)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.(z1 z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(y1 y1))) REDUCED to normal form. ------ 84950/7388706. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a) b)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 84951/7388742. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.a))) 5. ==[ beta ]==> ((^y.(a a))(b (^z.a))) 6. ==[ alpha ]==> ((^x.(a a))(b (^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 84952/7388769. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 84953/7388787. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a 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. ------ 84954/7388796. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 84955/7388823. ------ 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.(^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. ------ 84956/7388850. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 84957/7388895. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a (^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84958/7388904. ------ 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.(^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. ------ 84959/7388931. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a)(^b.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. ------ 84960/7388967. ------ 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))) REDUCED to normal form. ------ 84961/7388994. ------ 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. ------ 84962/7389021. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c a)) 3. ==[ beta ]==> ((a (b a))(c a)) REDUCED to normal form. ------ 84963/7389048. ------ 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. ------ 84964/7389102. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b (a a))) REDUCED to normal form. ------ 84965/7389129. ------ 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. ------ 84966/7389156. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a a)(a a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 84967/7389183. ------ 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. ------ 84968/7389237. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (a a))) REDUCED to normal form. ------ 84969/7389264. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(a a)) 3. ==[ beta ]==> ((b (a a))(a a)) REDUCED to normal form. ------ 84970/7391166. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.(^y1.y1)))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1)))) b) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 84971/7394028. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^x1.(^y1.x1))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 84972/7395921. ------ 1. ==[ start ]==> ((((^a.a) b)(a a)) b) 2. ==[ alpha ]==> ((((^x.x) b)(a a)) b) 3. ==[ beta ]==> ((b (a a)) b) REDUCED to normal form. ------ 84973/7395945. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84974/7396026. ------ 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. ------ 84975/7396188. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(b a))) 3. ==[ beta ]==> (^y.(((^z.z) a)(b a))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(b a))) 5. ==[ beta ]==> (^x.(a (b a))) REDUCED to normal form. ------ 84976/7396530. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(b a))) 3. ==[ beta ]==> (((^y.a)(b a))(((^y.a)(b a))((^y.a)(b a)))) 4. ==[ alpha ]==> (((^x.a)(b a))(((^y.a)(b a))((^z.a)(b a)))) 5. ==[ beta ]==> (a (((^y.a)(b a))((^z.a)(b a)))) 6. ==[ alpha ]==> (a (((^x.a)(b a))((^y.a)(b a)))) 7. ==[ beta ]==> (a (a ((^y.a)(b a)))) 8. ==[ alpha ]==> (a (a ((^x.a)(b a)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 84977/7396881. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84978/7396920. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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 ]==> (^x.b) REDUCED to normal form. ------ 84979/7397235. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(^b.b))) 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))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 84980/7397523. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 84981/7397826. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(^z.(^x1.(^y1.y1))))) 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. ------ 84982/7397829. ------ 1. ==[ start ]==> ((a (a b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 84983/7397838. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(a (^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. ------ 84984/7398387. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 84985/7398396. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(b a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(x a))) REDUCED to normal form. ------ 84986/7398675. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(b z))) 3. ==[ eta ]==> (((^x.(^y.y))(a b)) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 84987/7399095. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((((^z.(z z))((a a) a))((^z.(z z))((a a) a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))((a a) a))((^y.(y y))((a a) a)))(^z.z)) 5. ==[ beta ]==> (((((a a) a)((a a) a))((^y.(y y))((a a) a)))(^z.z)) 6. ==[ alpha ]==> (((((a a) a)((a a) a))((^x.(x x))((a a) a)))(^y.y)) 7. ==[ beta ]==> (((((a a) a)((a a) a))(((a a) a)((a a) a)))(^y.y)) 8. ==[ alpha ]==> (((((a a) a)((a a) a))(((a a) a)((a a) a)))(^x.x)) REDUCED to normal form. ------ 84988/7399431. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 84989/7399665. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 84990/7399851. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^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. ------ 84991/7400295. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(a b))) 3. ==[ beta ]==> (b (^y.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 84992/7400502. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(a x))) 3. ==[ eta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 84993/7400688. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((^x1.x1)(^y1.b))(^y.(^z.z))) 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. ------ 84994/7400691. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.z))) REDUCED to normal form. ------ 84995/7400700. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(y1 b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 84996/7400862. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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))) REDUCED to normal form. ------ 84997/7401291. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 84998/7401501. ------ 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. ------ 84999/7401606. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 85000/7401645. ------ 1. ==[ start ]==> (((^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)))) 3. ==[ beta ]==> ((^y.y)(^z1.((^x2.x2)(^y2.y2)))) 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. ------ 85001/7402248. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.z)) 3. ==[ beta ]==> ((b (^y.y))(^z.z)) 4. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 85002/7402338. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.y))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.x))) REDUCED to normal form. ------ 85003/7402392. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(a (^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(a (^z.z)))) 8. ==[ alpha ]==> ((a a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 85004/7402446. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 85005/7402500. ------ 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. ------ 85006/7402554. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 85007/7402581. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.(^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. ------ 85008/7402611. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 85009/7402620. ------ 1. ==[ start ]==> (((^a.a) a)((^b.b) b)) 2. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 3. ==[ beta ]==> (a ((^y.y) b)) 4. ==[ alpha ]==> (a ((^x.x) b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 85010/7402638. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 85011/7402665. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((b a)((^y.y) a))) 3. ==[ beta ]==> ((a a)((b a)((^y.y) a))) 4. ==[ alpha ]==> ((a a)((b a)((^x.x) a))) 5. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 85012/7402692. ------ 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. ------ 85013/7402746. ------ 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 ]==> ((^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. ------ 85014/7402773. ------ 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)(((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. ------ 85015/7402800. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(a a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 85016/7402827. ------ 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. ------ 85017/7402854. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a (^x.a))(a (b a))) REDUCED to normal form. ------ 85018/7402899. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.y))) REDUCED to normal form. ------ 85019/7402971. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 85020/7402998. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b a)(^b.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. ------ 85021/7403025. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 85022/7403052. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(a a))(^b.(^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. ------ 85023/7403079. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)(^z.a))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 85024/7403142. ------ 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.y1)(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. ------ 85025/7403169. ------ 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. ------ 85026/7403196. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(b a))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 85027/7403268. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^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. ------ 85028/7403295. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 85029/7403322. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b a) c)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b a) c)) REDUCED to normal form. ------ 85030/7403466. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 85031/7403547. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 85032/7403556. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (a (^a.(^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. ------ 85033/7403583. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 85034/7403637. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((b a)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 85035/7403691. ------ 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. ------ 85036/7403718. ------ 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)((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))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 85037/7403772. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(a b))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a b))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a b)) REDUCED to normal form. ------ 85038/7403871. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 85039/7403898. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (^z.z))) 3. ==[ beta ]==> ((a ((^y.y) a))(a (^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.y))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 85040/7403925. ------ 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. ------ 85041/7404105. ------ 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. ------ 85042/7404186. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 85043/7404213. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 85044/7404240. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((b a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((b a) b)) REDUCED to normal form. ------ 85045/7404330. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)(^b.(^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. ------ 85046/7404384. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^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. ------ 85047/7404411. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (((a (a a)) a)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 85048/7404438. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 85049/7404492. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(^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. ------ 85050/7404501. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.b)(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.b)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 85051/7404582. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))((^x1.x1) a))) IRREDUCIBLE: cycle. ------ 85052/7404663. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 85053/7404690. ------ 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. ------ 85054/7404717. ------ 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.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. ------ 85055/7404771. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a)(b a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(b a))) REDUCED to normal form. ------ 85056/7404807. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((b a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(^z.z))) 5. ==[ beta ]==> ((^y.a)((b a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((b a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 85057/7404834. ------ 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. ------ 85058/7404861. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(a a))(^b.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. ------ 85059/7404897. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 85060/7404951. ------ 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.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 85061/7404978. ------ 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. ------ 85062/7405005. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z)(a a)))) 7. ==[ beta ]==> (a ((^y.a)((^z.z)(a a)))) 8. ==[ alpha ]==> (a ((^x.a)((^y.y)(a a)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 85063/7405032. ------ 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)(^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. ------ 85064/7405059. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(b a))) 3. ==[ beta ]==> (((a b)(a a))(b a)) REDUCED to normal form. ------ 85065/7405311. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b ((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. ------ 85066/7405338. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 85067/7405392. ------ 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)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(a (^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))(a (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(a (^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 11. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 12. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 13. ==[ beta ]==> ((a a)(a (^y.y))) 14. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 85068/7405401. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 85069/7405473. ------ 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)(^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. ------ 85070/7405572. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 85071/7405653. ------ 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 a)) REDUCED to normal form. ------ 85072/7405680. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 85073/7405698. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((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. ------ 85074/7405707. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 85075/7405734. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 85076/7405761. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 85077/7405941. ------ 1. ==[ start ]==> (((a b) c)(((a a) a) d)) REDUCED to normal form. ------ 85078/7406094. ------ 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 ((a a)(^y.y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 85079/7406130. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(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. ------ 85080/7406157. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 85081/7406175. ------ 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) a)((^z.z) a))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 5. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 85082/7406184. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a) d)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) d)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 85083/7406301. ------ 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. ------ 85084/7406328. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (^c.(^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. ------ 85085/7406355. ------ 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 a)) REDUCED to normal form. ------ 85086/7406382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 9. ==[ beta ]==> ((^y.b)(a (^z.z))) 10. ==[ alpha ]==> ((^x.b)(a (^y.y))) 11. ==[ beta ]==> b REDUCED to normal form. ------ 85087/7406436. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 85088/7406463. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.z))) 11. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 12. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 85089/7406490. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 85090/7406517. ------ 1. ==[ start ]==> ((a (b a))((^a.(^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. ------ 85091/7406796. ------ 1. ==[ start ]==> (((^a.a)(b a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a b)(a a))) 3. ==[ beta ]==> ((b a)((a b)(a a))) REDUCED to normal form. ------ 85092/7406823. ------ 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 (^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. ------ 85093/7406877. ------ 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. ------ 85094/7406958. ------ 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 b))) REDUCED to normal form. ------ 85095/7406994. ------ 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. ------ 85096/7407021. ------ 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. ------ 85097/7407084. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a a)(b a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 85098/7407111. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 85099/7407138. ------ 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))((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. ------ 85100/7407165. ------ 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. ------ 85101/7407192. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(^z.z))) 5. ==[ beta ]==> (((a a) a)((^y.b)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(^y.y))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 85102/7407246. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^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. ------ 85103/7407273. ------ 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 z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)((^y.(y y))(^y.(y y)))) 8. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 85104/7407300. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 85105/7407354. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.b)) REDUCED to normal form. ------ 85106/7407363. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (a b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 85107/7407444. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> ((a a)((a (a a))((^z.z) a))) 6. ==[ alpha ]==> ((a a)((a (a a))((^x.x) a))) 7. ==[ beta ]==> ((a a)((a (a a)) a)) REDUCED to normal form. ------ 85108/7407525. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 85109/7407642. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(z z)))) REDUCED to normal form. ------ 85110/7407669. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 85111/7407750. ------ 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. ------ 85112/7407777. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (a a)) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a)) c)) 5. ==[ beta ]==> ((^y.b)((a (a a)) c)) 6. ==[ alpha ]==> ((^x.b)((a (a a)) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 85113/7407822. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 85114/7407885. ------ 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))(^y.a)) a) REDUCED to normal form. ------ 85115/7407930. ------ 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. ------ 85116/7407957. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) 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. ------ 85117/7408002. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 85118/7408056. ------ 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. ------ 85119/7408083. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 85120/7408110. ------ 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. ------ 85121/7408137. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 85122/7408164. ------ 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. ------ 85123/7408191. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 85124/7408236. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1) a) c)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85125/7408245. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 85126/7408272. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 85127/7408281. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 85128/7408308. ------ 1. ==[ start ]==> (((^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)))) 3. ==[ beta ]==> ((^y.y)(a ((^z1.z1)(^x2.x2)))) 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. ------ 85129/7408560. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a)) a)) REDUCED to normal form. ------ 85130/7408587. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) a) b)) 3. ==[ beta ]==> ((b a)(((^y.y) a) b)) 4. ==[ alpha ]==> ((b a)(((^x.x) a) b)) 5. ==[ beta ]==> ((b a)(a b)) REDUCED to normal form. ------ 85131/7408605. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c (a (^z.z)))) 3. ==[ beta ]==> (((^y.y) b)(c (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)(c (a (^y.y)))) 5. ==[ beta ]==> (b (c (a (^y.y)))) 6. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 85132/7408614. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) c)) REDUCED to normal form. ------ 85133/7408632. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 85134/7408686. ------ 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. ------ 85135/7408722. ------ 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 a) REDUCED to normal form. ------ 85136/7408776. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 85137/7408803. ------ 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 (^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. ------ 85138/7408830. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(^z.a))) REDUCED to normal form. ------ 85139/7408884. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1)) b)) REDUCED to normal form. ------ 85140/7408911. ------ 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)) REDUCED to normal form. ------ 85141/7408947. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c (^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c (^y.y))) 3. ==[ beta ]==> (((a a) b)(c (^y.y))) 4. ==[ alpha ]==> (((a a) b)(c (^x.x))) REDUCED to normal form. ------ 85142/7408974. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 85143/7409001. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a (^y.a))) 3. ==[ beta ]==> ((a (b a))(a (^y.a))) 4. ==[ alpha ]==> ((a (b a))(a (^x.a))) REDUCED to normal form. ------ 85144/7409028. ------ 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. ------ 85145/7409055. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a 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. ------ 85146/7409082. ------ 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))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 85147/7409109. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)(^a.(^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. ------ 85148/7409136. ------ 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)(^y.y))(b (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 85149/7409163. ------ 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. ------ 85150/7409217. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(^y1.y1))) 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. ------ 85151/7409244. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a (^a.a))) 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. ------ 85152/7415910. ------ 1. ==[ start ]==> ((((^a.a) b)(a a)) c) 2. ==[ alpha ]==> ((((^x.x) b)(a a)) c) 3. ==[ beta ]==> ((b (a a)) c) REDUCED to normal form. ------ 85153/7415961. ------ 1. ==[ start ]==> ((^a.(a a))((^b.b) b)) 2. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 3. ==[ beta ]==> (((^y.y) b)((^y.y) 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. ------ 85154/7415988. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 85155/7416270. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.(y y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 85156/7416429. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 85157/7416753. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 85158/7416918. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 85159/7417311. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (((((a a)(^y.y))(^z.a))(((a a)(^y.y))(^z.a)))(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (((((a a)(^x.x))(^y.a))(((a a)(^z.z))(^x1.a)))(((a a)(^y1.y1))(^z1.a))) REDUCED to normal form. ------ 85160/7417644. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 85161/7417836. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 85162/7418211. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (^y.(((^z.(a a))((^x1.x1) a))((^z.(a a))((^x1.x1) a)))) 4. ==[ alpha ]==> (^x.(((^y.(a a))((^z.z) a))((^x1.(a a))((^y1.y1) a)))) 5. ==[ beta ]==> (^x.((a a)((^x1.(a a))((^y1.y1) a)))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a))((^z.z) a)))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 85163/7418394. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(^d.a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 85164/7418418. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((b a) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((b a) a)) 3. ==[ beta ]==> ((^y.y)(((b a) a)((b a) a))) 4. ==[ alpha ]==> ((^x.x)(((b a) a)((b a) a))) 5. ==[ beta ]==> (((b a) a)((b a) a)) REDUCED to normal form. ------ 85165/7418682. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(b z))) 3. ==[ eta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 85166/7419429. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((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. ------ 85167/7419849. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(^z.b))) 3. ==[ eta ]==> (b ((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 85168/7420302. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(a b))) REDUCED to normal form. ------ 85169/7420398. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 85170/7420500. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.b))) REDUCED to normal form. ------ 85171/7420698. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.y1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.x1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 85172/7421220. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.((z z) z))) REDUCED to normal form. ------ 85173/7421643. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(^b.(^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. ------ 85174/7421778. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(^b.(^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. ------ 85175/7421886. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 85176/7422084. ------ 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))(^y.a)) REDUCED to normal form. ------ 85177/7422102. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 85178/7422336. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.c)) 3. ==[ beta ]==> ((a (b a))(^y.c)) 4. ==[ alpha ]==> ((a (b a))(^x.c)) REDUCED to normal form. ------ 85179/7422444. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.b)) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.b)) REDUCED to normal form. ------ 85180/7422498. ------ 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. ------ 85181/7422579. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.a)) 3. ==[ beta ]==> ((b (a a))(^y.a)) 4. ==[ alpha ]==> ((b (a a))(^x.a)) REDUCED to normal form. ------ 85182/7422602. ------ 1. ==[ start ]==> (^a.(^a.((a a)(a a)))) 2. ==[ alpha ]==> (^x.(^y.((y y)(y y)))) REDUCED to normal form. ------ 85183/7422603. ------ 1. ==[ start ]==> (a (^a.((a a)(a a)))) 2. ==[ alpha ]==> (a (^x.((x x)(x x)))) REDUCED to normal form. ------ 85184/7422627. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(a a))) 3. ==[ beta ]==> (a (((^y.y) b)(a a))) 4. ==[ alpha ]==> (a (((^x.x) b)(a a))) 5. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 85185/7422636. ------ 1. ==[ start ]==> ((a (a a))((^b.b) b)) 2. ==[ alpha ]==> ((a (a a))((^x.x) b)) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 85186/7422654. ------ 1. ==[ start ]==> (((a a) a)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 85187/7422663. ------ 1. ==[ start ]==> ((a b)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z))) c)) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 85188/7422681. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.x))((b a) a)) REDUCED to normal form. ------ 85189/7422708. ------ 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. ------ 85190/7422735. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^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. ------ 85191/7422762. ------ 1. ==[ start ]==> (((a a) b)((a b)((a a) a))) REDUCED to normal form. ------ 85192/7422789. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(a b))) REDUCED to normal form. ------ 85193/7422816. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 85194/7422843. ------ 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. ------ 85195/7422897. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 85196/7422942. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (^c.(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 REDUCED to normal form. ------ 85197/7422969. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(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. ------ 85198/7423104. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)((a a) a))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 85199/7423122. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 85200/7423149. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(a a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(a a))) REDUCED to normal form. ------ 85201/7423212. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(b a))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(b a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(b a))) 5. ==[ beta ]==> (((^y.a)(b a))((^y.a)(b a))) 6. ==[ alpha ]==> (((^x.a)(b a))((^y.a)(b a))) 7. ==[ beta ]==> (a ((^y.a)(b a))) 8. ==[ alpha ]==> (a ((^x.a)(b a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 85202/7423239. ------ 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 (^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. ------ 85203/7423293. ------ 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)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85204/7423320. ------ 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.(^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. ------ 85205/7423401. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 85206/7423428. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 85207/7423563. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^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. ------ 85208/7423590. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(^b.b))) 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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85209/7423653. ------ 1. ==[ start ]==> (((a (a a)) b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((b a)(a (^x.x)))) REDUCED to normal form. ------ 85210/7423680. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (a (((a a)(^y.y))((^z.z) a))) 6. ==[ alpha ]==> (a (((a a)(^x.x))((^y.y) a))) 7. ==[ beta ]==> (a (((a a)(^x.x)) a)) REDUCED to normal form. ------ 85211/7423707. ------ 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. ------ 85212/7423734. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)(^z.z))) REDUCED to normal form. ------ 85213/7423761. ------ 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. ------ 85214/7423788. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 85215/7423815. ------ 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. ------ 85216/7423932. ------ 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. ------ 85217/7423959. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((b a)(^a.(^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. ------ 85218/7423986. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 85219/7424022. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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 a) REDUCED to normal form. ------ 85220/7424076. ------ 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) REDUCED to normal form. ------ 85221/7424157. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 85222/7424184. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^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. ------ 85223/7424238. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.y1))) 7. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.y1))) 8. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.x1))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 85224/7424319. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 85225/7424490. ------ 1. ==[ start ]==> (((^a.b) a)(b (b a))) 2. ==[ alpha ]==> (((^x.b) a)(b (b a))) 3. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 85226/7424508. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 85227/7424652. ------ 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. ------ 85228/7424679. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^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. ------ 85229/7424706. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(a b))) REDUCED to normal form. ------ 85230/7424760. ------ 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.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. ------ 85231/7424787. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(b a))) REDUCED to normal form. ------ 85232/7424859. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 85233/7424886. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 85234/7424904. ------ 1. ==[ start ]==> (((a a)(a b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((a b)(^x.(x x)))) REDUCED to normal form. ------ 85235/7424931. ------ 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. ------ 85236/7424985. ------ 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. ------ 85237/7425012. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> (a (((^y.y) a)(^z.(a a)))) 8. ==[ alpha ]==> (a (((^x.x) a)(^y.(a a)))) 9. ==[ beta ]==> (a (a (^y.(a a)))) 10. ==[ alpha ]==> (a (a (^x.(a a)))) REDUCED to normal form. ------ 85238/7425093. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((b a) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a) a)) 3. ==[ beta ]==> ((a (a a))((b a) a)) REDUCED to normal form. ------ 85239/7425129. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(^a.a))(^a.(^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. ------ 85240/7425183. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 7. ==[ beta ]==> ((^y.b)(^z.(z z))) 8. ==[ alpha ]==> ((^x.b)(^y.(y y))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 85241/7425264. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 85242/7425327. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 85243/7425354. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (b a))) REDUCED to normal form. ------ 85244/7425408. ------ 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. ------ 85245/7425435. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))((a b)((^z.z) a))) 6. ==[ alpha ]==> ((^x.(x x))((a b)((^y.y) a))) 7. ==[ beta ]==> (((a b)((^y.y) a))((a b)((^y.y) a))) 8. ==[ alpha ]==> (((a b)((^x.x) a))((a b)((^y.y) a))) 9. ==[ beta ]==> (((a b) a)((a b)((^y.y) a))) 10. ==[ alpha ]==> (((a b) a)((a b)((^x.x) a))) 11. ==[ beta ]==> (((a b) a)((a b) a)) REDUCED to normal form. ------ 85246/7425462. ------ 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. ------ 85247/7425489. ------ 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)(^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. ------ 85248/7425516. ------ 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. ------ 85249/7425633. ------ 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))(^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. ------ 85250/7425660. ------ 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.(^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. ------ 85251/7425687. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b)(^b.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. ------ 85252/7425714. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 85253/7425741. ------ 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.(^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. ------ 85254/7425804. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.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. ------ 85255/7425939. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 85256/7426047. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 85257/7426056. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (a b))) REDUCED to normal form. ------ 85258/7426083. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.b))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.b))(b (a a))) REDUCED to normal form. ------ 85259/7426137. ------ 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.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. ------ 85260/7426164. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 85261/7426191. ------ 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. ------ 85262/7426218. ------ 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 (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. ------ 85263/7426245. ------ 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))(^y.y))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(^z.z))) REDUCED to normal form. ------ 85264/7426362. ------ 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. ------ 85265/7426389. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b)(^a.(^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. ------ 85266/7426416. ------ 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. ------ 85267/7426443. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 85268/7426470. ------ 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. ------ 85269/7426524. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 85270/7426614. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b)(^a.(^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. ------ 85271/7426695. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 85272/7426758. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (a b))) REDUCED to normal form. ------ 85273/7426866. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.(a a)))((^z.z) a)) 8. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) a)) 9. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 85274/7426893. ------ 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. ------ 85275/7426947. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 85276/7426965. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b (^y.b))) 3. ==[ beta ]==> (b (b (^y.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 85277/7426974. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(a b))) REDUCED to normal form. ------ 85278/7427073. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 85279/7427091. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 85280/7427118. ------ 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.(^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. ------ 85281/7427172. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.b))) REDUCED to normal form. ------ 85282/7427199. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a b) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((a b) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a b) a)) 5. ==[ beta ]==> (((a a) a)((a b) a)) REDUCED to normal form. ------ 85283/7427226. ------ 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)(^y.y))(((a a) a) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a) b)) REDUCED to normal form. ------ 85284/7427253. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y) c)) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x) c)) 5. ==[ beta ]==> (((a b)(a (a a))) c) REDUCED to normal form. ------ 85285/7427352. ------ 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. ------ 85286/7427370. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 85287/7427532. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (^c.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. ------ 85288/7427640. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 85289/7427667. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^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)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 85290/7427694. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 85291/7427829. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 85292/7427838. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (a (a a)))) REDUCED to normal form. ------ 85293/7427865. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(b (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 85294/7427892. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a ((a a) a))) REDUCED to normal form. ------ 85295/7427946. ------ 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. ------ 85296/7428063. ------ 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. ------ 85297/7428090. ------ 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.(^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. ------ 85298/7428117. ------ 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. ------ 85299/7428144. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 85300/7428171. ------ 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. ------ 85301/7428198. ------ 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)(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z) a)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y) a)) 7. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 85302/7428288. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 85303/7428315. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)(^x2.(^y2.y2)))) 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. ------ 85304/7428450. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (^b.(^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. ------ 85305/7428558. ------ 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)(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. ------ 85306/7428612. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a)(^a.(^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. ------ 85307/7428621. ------ 1. ==[ start ]==> (((a a)(^b.b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(c (a (^y.y)))) REDUCED to normal form. ------ 85308/7428639. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 85309/7428648. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b ((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b a)) REDUCED to normal form. ------ 85310/7428729. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(a (^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 85311/7428756. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a a) a)) REDUCED to normal form. ------ 85312/7428774. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a (^y.(y y)))) 3. ==[ beta ]==> (b (a (^y.(y y)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 85313/7428783. ------ 1. ==[ start ]==> (((a b)(^c.a))(d a)) 2. ==[ alpha ]==> (((a b)(^x.a))(d a)) REDUCED to normal form. ------ 85314/7428810. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c b)) REDUCED to normal form. ------ 85315/7428837. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b c)) REDUCED to normal form. ------ 85316/7428882. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85317/7428918. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b (a (^z.z)))) 3. ==[ beta ]==> ((b (^y.y))(b (a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 85318/7428954. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.a) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a) a)) 3. ==[ beta ]==> (((a a) b)((^y.a) a)) 4. ==[ alpha ]==> (((a a) b)((^x.a) a)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 85319/7428981. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1)) 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. ------ 85320/7429008. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y) c)) 3. ==[ beta ]==> ((a (b a))((^y.y) c)) 4. ==[ alpha ]==> ((a (b a))((^x.x) c)) 5. ==[ beta ]==> ((a (b a)) c) REDUCED to normal form. ------ 85321/7429035. ------ 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. ------ 85322/7429062. ------ 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. ------ 85323/7429089. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x)) a)) REDUCED to normal form. ------ 85324/7429116. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a) b)) REDUCED to normal form. ------ 85325/7429143. ------ 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.y1)) a)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) a)) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 85326/7429170. ------ 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. ------ 85327/7429224. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a) a)) REDUCED to normal form. ------ 85328/7429251. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.y) a)) 3. ==[ beta ]==> ((b (a a))((^y.y) a)) 4. ==[ alpha ]==> ((b (a a))((^x.x) a)) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 85329/7429275. ------ 1. ==[ start ]==> ((^a.((a a)(a a))) a) 2. ==[ alpha ]==> ((^x.((x x)(x x))) a) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 85330/7429277. ------ 1. ==[ start ]==> (^a.(a ((a a)(a a)))) 2. ==[ alpha ]==> (^x.(x ((x x)(x x)))) REDUCED to normal form. ------ 85331/7429278. ------ 1. ==[ start ]==> (a (a ((a a)(a a)))) REDUCED to normal form. ------ 85332/7429281. ------ 1. ==[ start ]==> ((^a.a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 3. ==[ beta ]==> (^y.((y y)(y y))) 4. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 85333/7435950. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.y)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^y.y)(^y.y))) 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. ------ 85334/7435953. ------ 1. ==[ start ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 85335/7435959. ------ 1. ==[ start ]==> ((^a.a)(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.x)(a ((a a)(a a)))) 3. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 85336/7435962. ------ 1. ==[ start ]==> ((a a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 85337/7435986. ------ 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)(a a))(((^y.y) b)(a a))) 4. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y) b)(a a))) 5. ==[ beta ]==> ((b (a a))(((^y.y) b)(a a))) 6. ==[ alpha ]==> ((b (a a))(((^x.x) b)(a a))) 7. ==[ beta ]==> ((b (a a))(b (a a))) REDUCED to normal form. ------ 85338/7436013. ------ 1. ==[ start ]==> ((^a.b)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 85339/7436094. ------ 1. ==[ start ]==> ((^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)))) 3. ==[ beta ]==> ((((^z.z)(a a))((^x1.x1)(^y1.y1)))(^y.y)) 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)(^y.y))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 85340/7436283. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)((^z.z) b))) 3. ==[ eta ]==> ((^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. ------ 85341/7436454. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)(^z.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 85342/7436628. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x) 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. ------ 85343/7437573. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 85344/7437849. ------ 1. ==[ start ]==> ((^a.(a b))(b (b a))) 2. ==[ alpha ]==> ((^x.(x b))(b (b a))) 3. ==[ beta ]==> ((b (b a)) b) REDUCED to normal form. ------ 85345/7438167. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 85346/7438236. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a))(^b.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. ------ 85347/7439688. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 85348/7440354. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 85349/7440423. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 85350/7440711. ------ 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. ------ 85351/7441245. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.a))) REDUCED to normal form. ------ 85352/7441314. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85353/7441629. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c ((^z.z) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 85354/7441920. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(a (a a)))) REDUCED to normal form. ------ 85355/7442136. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 85356/7442307. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)((^x.x) 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. ------ 85357/7442361. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(a (^z.z)))) 3. ==[ beta ]==> ((a (b a))(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((a (b a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 85358/7442442. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.c)) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.c)) REDUCED to normal form. ------ 85359/7442496. ------ 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.(x1 (^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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)))) REDUCED to normal form. ------ 85360/7442577. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.b)) REDUCED to normal form. ------ 85361/7442604. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(y y))) 3. ==[ beta ]==> ((b (a a))(^y.(y y))) 4. ==[ alpha ]==> ((b (a a))(^x.(x x))) REDUCED to normal form. ------ 85362/7442628. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a a)) 3. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 85363/7442631. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.a)) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 85364/7442636. ------ 1. ==[ start ]==> (^a.(^b.(^c.(a a)))) 2. ==[ alpha ]==> (^x.(^y.(^z.(x x)))) REDUCED to normal form. ------ 85365/7442637. ------ 1. ==[ start ]==> (a (^b.(^c.(a a)))) 2. ==[ alpha ]==> (a (^x.(^y.(a a)))) REDUCED to normal form. ------ 85366/7442643. ------ 1. ==[ start ]==> ((a a)(a ((a a)(a a)))) REDUCED to normal form. ------ 85367/7442670. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) b)(a a))) 3. ==[ beta ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 85368/7442679. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 85369/7442697. ------ 1. ==[ start ]==> ((a b)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 85370/7442751. ------ 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. ------ 85371/7442778. ------ 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.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 85372/7442913. ------ 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. ------ 85373/7442931. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 85374/7442940. ------ 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))))) REDUCED to normal form. ------ 85375/7442967. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 85376/7443003. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^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. ------ 85377/7443012. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 85378/7443039. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 85379/7443057. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)(^z.a))) 3. ==[ beta ]==> (((^y.y) a)((b a)(^z.a))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(^y.a))) 5. ==[ beta ]==> (a ((b a)(^y.a))) 6. ==[ alpha ]==> (a ((b a)(^x.a))) REDUCED to normal form. ------ 85380/7443084. ------ 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))(^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. ------ 85381/7443120. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 85382/7443138. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.a))) REDUCED to normal form. ------ 85383/7443228. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 85384/7443273. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 85385/7443309. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a b)((^y.y)((^z.z) b))) 4. ==[ alpha ]==> ((a b)((^x.x)((^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. ------ 85386/7443327. ------ 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)(^y.y))(((^z.z) 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. ------ 85387/7443336. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 85388/7443354. ------ 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)) REDUCED to normal form. ------ 85389/7443363. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 85390/7443381. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 85391/7443444. ------ 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. ------ 85392/7443552. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 85393/7443678. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) b)) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2))) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 8. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 85394/7443885. ------ 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)(^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. ------ 85395/7443912. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(b a))) REDUCED to normal form. ------ 85396/7443939. ------ 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. ------ 85397/7444056. ------ 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.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(z1 z1)))) 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. ------ 85398/7444110. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a)(^z.a))) 5. ==[ beta ]==> (a (((a a) a)(^z.a))) 6. ==[ alpha ]==> (a (((a a) a)(^x.a))) REDUCED to normal form. ------ 85399/7444146. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^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. ------ 85400/7444173. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))((^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. ------ 85401/7444227. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^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. ------ 85402/7444254. ------ 1. ==[ start ]==> ((((^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.y1))))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 85403/7444272. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1))) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z))) a)) 7. ==[ beta ]==> ((a a)((a (^y.(^z.z))) a)) 8. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 85404/7444281. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.(^x1.x1)))(^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. ------ 85405/7444533. ------ 1. ==[ start ]==> ((a (a b))(b (b a))) REDUCED to normal form. ------ 85406/7444794. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 85407/7444848. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a (^a.(^a.(^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 REDUCED to normal form. ------ 85408/7444893. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(^a.a))(^a.(^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. ------ 85409/7444902. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^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. ------ 85410/7444920. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a))(^b.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. ------ 85411/7445091. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^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. ------ 85412/7445136. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((b a) a)) 3. ==[ beta ]==> ((^y.(a a))((b a) a)) 4. ==[ alpha ]==> ((^x.(a a))((b a) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 85413/7445163. ------ 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) REDUCED to normal form. ------ 85414/7445307. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a b) b)((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a b) b)((^x.b)(^y.b))) 5. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 85415/7445334. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(^b.(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. ------ 85416/7445361. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^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. ------ 85417/7445586. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(a b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a b))) 5. ==[ beta ]==> (((a a)(a a))(a (a b))) REDUCED to normal form. ------ 85418/7445613. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a (^y.y))(a a))) REDUCED to normal form. ------ 85419/7445640. ------ 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. ------ 85420/7445739. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 85421/7445838. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.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. ------ 85422/7445973. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a b) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 85423/7445982. ------ 1. ==[ start ]==> (((a b) c)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b) c)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 85424/7446009. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 85425/7446036. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^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. ------ 85426/7446090. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.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. ------ 85427/7446117. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^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. ------ 85428/7446216. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 85429/7446315. ------ 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. ------ 85430/7446342. ------ 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.z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(a b))) REDUCED to normal form. ------ 85431/7446369. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 85432/7446648. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a b) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a b) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a b) b)) 5. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 85433/7446792. ------ 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)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 85434/7446837. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(a a)) a)) 3. ==[ beta ]==> ((b a)((^y.(a a)) a)) 4. ==[ alpha ]==> ((b a)((^x.(a a)) a)) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 85435/7446864. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 85436/7446981. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 85437/7447008. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (^y.b))) REDUCED to normal form. ------ 85438/7447035. ------ 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. ------ 85439/7447062. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 85440/7447107. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 85441/7447395. ------ 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. ------ 85442/7447485. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(^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. ------ 85443/7447674. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 85444/7447683. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1) a)((^x1.x1) 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. ------ 85445/7447701. ------ 1. ==[ start ]==> (((^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 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 85446/7447710. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 85447/7447728. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))(^b.(^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. ------ 85448/7447782. ------ 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 ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a) a) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^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)) 7. ==[ beta ]==> (((a a)(a a))(((a a) a) a)) REDUCED to normal form. ------ 85449/7447791. ------ 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. ------ 85450/7447818. ------ 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))(^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. ------ 85451/7447872. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 85452/7447899. ------ 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.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^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. ------ 85453/7447926. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 85454/7447971. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 85455/7447998. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) c)) 3. ==[ beta ]==> ((a (^x.x))(c c)) REDUCED to normal form. ------ 85456/7448016. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a ((^z.z) a))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 85457/7448043. ------ 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. ------ 85458/7448070. ------ 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)(^x.x)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 85459/7448178. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c d)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c d)) 3. ==[ beta ]==> (((a b)(^y.y))(c d)) 4. ==[ alpha ]==> (((a b)(^x.x))(c d)) REDUCED to normal form. ------ 85460/7448277. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 85461/7448313. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c ((^y.y) a))) 3. ==[ beta ]==> ((a b)(c ((^y.y) a))) 4. ==[ alpha ]==> ((a b)(c ((^x.x) a))) 5. ==[ beta ]==> ((a b)(c a)) REDUCED to normal form. ------ 85462/7448592. ------ 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 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85463/7448601. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (a a))) REDUCED to normal form. ------ 85464/7448628. ------ 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))) 5. ==[ beta ]==> ((b a)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 85465/7448646. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z) a) b)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a) b)) 4. ==[ alpha ]==> (((^x.x) b)(((^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. ------ 85466/7448655. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 85467/7448682. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.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. ------ 85468/7448727. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z)) a)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 85469/7448763. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(c (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(c (^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 85470/7448790. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b (^y.a))) REDUCED to normal form. ------ 85471/7448817. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 85472/7448844. ------ 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) REDUCED to normal form. ------ 85473/7448871. ------ 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.(^x1.x1))(a (^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. ------ 85474/7448916. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85475/7448925. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 85476/7448952. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(^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. ------ 85477/7448988. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a ((^y.y) a))) 3. ==[ beta ]==> (((a a) b)(a ((^y.y) a))) 4. ==[ alpha ]==> (((a a) b)(a ((^x.x) a))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 85478/7449015. ------ 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))) REDUCED to normal form. ------ 85479/7449042. ------ 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. ------ 85480/7449096. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(b b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b b)) 5. ==[ beta ]==> (((^y.y)(a a))(b b)) 6. ==[ alpha ]==> (((^x.x)(a a))(b b)) 7. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 85481/7449123. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a c)) REDUCED to normal form. ------ 85482/7449150. ------ 1. ==[ start ]==> (((a b)((a a) a))(b (a a))) REDUCED to normal form. ------ 85483/7449177. ------ 1. ==[ start ]==> ((((^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)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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)))) REDUCED to normal form. ------ 85484/7449204. ------ 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. ------ 85485/7449258. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a b)) REDUCED to normal form. ------ 85486/7449285. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(a (a a))) 3. ==[ beta ]==> ((b (a a))(a (a a))) REDUCED to normal form. ------ 85487/7449309. ------ 1. ==[ start ]==> ((^a.((a a)(a a))) b) 2. ==[ alpha ]==> ((^x.((x x)(x x))) b) 3. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 85488/7449312. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a a)) REDUCED to normal form. ------ 85489/7449324. ------ 1. ==[ start ]==> ((^a.a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 3. ==[ beta ]==> (^y.(^z.(a a))) 4. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 85490/7449333. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85491/7451808. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(z a))) 3. ==[ beta ]==> ((^y.y)((^z.(z 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 ]==> ((^y.(y a)) a) 8. ==[ alpha ]==> ((^x.(x a)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 85492/7455993. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.z))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 85493/7455996. ------ 1. ==[ start ]==> ((a ((a a)(a a))) b) REDUCED to normal form. ------ 85494/7456014. ------ 1. ==[ start ]==> ((a a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 85495/7456020. ------ 1. ==[ start ]==> ((^a.(^a.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85496/7456023. ------ 1. ==[ start ]==> ((a (^a.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((y y)(y y)))) REDUCED to normal form. ------ 85497/7456101. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 85498/7456263. ------ 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. ------ 85499/7456335. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (^z.z))) 3. ==[ eta ]==> ((^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. ------ 85500/7456347. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.a)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.a)(^y.((^z.z) b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 85501/7456605. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.(y y))((a a)(^z.z)))(((^y.(y y))((a a)(^z.z)))((^y.(y y))((a a)(^z.z))))) 4. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.(z z))((a a)(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1))))) 5. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.(z z))((a a)(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1))))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.(z z))((a a)(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1))))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((((a a)(^x1.x1))((a a)(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1))))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((((a a)(^z.z))((a a)(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1))))) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((((a a)(^z.z))((a a)(^x1.x1)))(((a a)(^z1.z1))((a a)(^z1.z1))))) 10. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((((a a)(^z.z))((a a)(^x1.x1)))(((a a)(^y1.y1))((a a)(^z1.z1))))) REDUCED to normal form. ------ 85502/7456680. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^b.b))) 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. ------ 85503/7457337. ------ 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. ------ 85504/7458495. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(b a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(b a))((^z.z)(b a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(b a))((^z.z)(b a)))) 5. ==[ beta ]==> (((^y.y)(b a))((^z.z)(b a))) 6. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(b a))) 7. ==[ beta ]==> ((b a)((^y.y)(b a))) 8. ==[ alpha ]==> ((b a)((^x.x)(b a))) 9. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 85505/7458498. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(y a))) 3. ==[ beta ]==> ((a (a a))(^y.(y a))) 4. ==[ alpha ]==> ((a (a a))(^x.(x a))) REDUCED to normal form. ------ 85506/7459170. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((((^z.(^x1.x1))((^y1.y1)(^z1.z1)))((^z.(^x1.x1))((^y1.y1)(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2))))(^z2.z2)) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2))))(^z2.z2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))(^z1.z1)) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 85507/7459926. ------ 1. ==[ start ]==> ((^a.(b a))((^b.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. ------ 85508/7460208. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((b a)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((b a)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 85509/7460604. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((a a) a)) a) 4. ==[ beta ]==> (((^y.y)((a a) a)) a) 5. ==[ alpha ]==> (((^x.x)((a a) a)) a) 6. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 85510/7461366. ------ 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. ------ 85511/7461603. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^y.(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 85512/7461681. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 85513/7461855. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 85514/7461972. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 85515/7462098. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(z (z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 85516/7462179. ------ 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 (^x.a)) REDUCED to normal form. ------ 85517/7462188. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.d)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.d)) REDUCED to normal form. ------ 85518/7462359. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.a))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 85519/7462440. ------ 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. ------ 85520/7462494. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 85521/7462548. ------ 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.(^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. ------ 85522/7462629. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 85523/7462656. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.(^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. ------ 85524/7462680. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a (^y.y))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 85525/7462683. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 85526/7462713. ------ 1. ==[ start ]==> ((a (^a.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(a ((a a)(a a)))) REDUCED to normal form. ------ 85527/7462740. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 85528/7462749. ------ 1. ==[ start ]==> (((a a) a)((^b.b) b)) 2. ==[ alpha ]==> (((a a) a)((^x.x) b)) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 85529/7462767. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 85530/7462794. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 85531/7462848. ------ 1. ==[ start ]==> (((^a.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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85532/7462875. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 85533/7462902. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^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. ------ 85534/7462929. ------ 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.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. ------ 85535/7462956. ------ 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. ------ 85536/7463028. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (^b.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.y))) 3. ==[ beta ]==> ((a a)(b (^y.y))) 4. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 85537/7463037. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)((^z.z) b))) 3. ==[ beta ]==> ((^y.a)((a a)((^z.z) b))) 4. ==[ alpha ]==> ((^x.a)((a a)((^y.y) b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 85538/7463073. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.y))) REDUCED to normal form. ------ 85539/7463100. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.(^a.a)))(^a.(^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. ------ 85540/7463127. ------ 1. ==[ start ]==> (((a a)(^b.a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((b a)(^y.a))) REDUCED to normal form. ------ 85541/7463154. ------ 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))(^y1.(y1 y1)))) REDUCED to normal form. ------ 85542/7463181. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 85543/7463217. ------ 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) 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. ------ 85544/7463271. ------ 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. ------ 85545/7463298. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 85546/7463370. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)(^y.y))) 3. ==[ beta ]==> ((a b)((a a)(^y.y))) 4. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 85547/7463397. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) b) a)) 3. ==[ beta ]==> (((a (a a)) a)(b a)) REDUCED to normal form. ------ 85548/7463424. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 85549/7463451. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a) c)) REDUCED to normal form. ------ 85550/7463541. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 85551/7463595. ------ 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. ------ 85552/7463658. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (b a))) 3. ==[ beta ]==> ((^y.(^z.z))(c (b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85553/7463685. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (a (^a.(^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. ------ 85554/7463739. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(a a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(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)) REDUCED to normal form. ------ 85555/7463748. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 85556/7463793. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 9. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 85557/7463802. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 85558/7463820. ------ 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. ------ 85559/7463874. ------ 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. ------ 85560/7464000. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y) a))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b (^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. ------ 85561/7464027. ------ 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. ------ 85562/7464054. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a a))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 85563/7464207. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.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. ------ 85564/7464234. ------ 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. ------ 85565/7464315. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 85566/7464342. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 85567/7464369. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a) b)) 5. ==[ beta ]==> ((^y.(^z.z))((b a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((b a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85568/7464432. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 85569/7464459. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 85570/7464513. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 85571/7464540. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x))((^z.(a a))(^z.(a a)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(a a)))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 85572/7464567. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)(^c.(^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. ------ 85573/7464603. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (b a))) 3. ==[ beta ]==> ((^y.b)(b (b a))) 4. ==[ alpha ]==> ((^x.b)(b (b a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 85574/7464684. ------ 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)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))(a (^x1.x1)))) IRREDUCIBLE: cycle. ------ 85575/7464765. ------ 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 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. ------ 85576/7464792. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 85577/7464819. ------ 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. ------ 85578/7464873. ------ 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))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 85579/7464936. ------ 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. ------ 85580/7464963. ------ 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)))) REDUCED to normal form. ------ 85581/7464999. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 85582/7465026. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 85583/7465080. ------ 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. ------ 85584/7465107. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(a b))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a b))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a b))) 7. ==[ beta ]==> (a ((^y.(y y))(a b))) 8. ==[ alpha ]==> (a ((^x.(x x))(a b))) 9. ==[ beta ]==> (a ((a b)(a b))) REDUCED to normal form. ------ 85585/7465134. ------ 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)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 85586/7465152. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 85587/7465161. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^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. ------ 85588/7465188. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 85589/7465440. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 85590/7465494. ------ 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))(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a a))) 9. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a a))) 10. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 11. ==[ beta ]==> (((a a)(^y.y))(a a)) 12. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 85591/7465503. ------ 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)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 85592/7465530. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(a a)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a)) c)) 5. ==[ beta ]==> ((^y.(y y))((^z.(a a)) c)) 6. ==[ alpha ]==> ((^x.(x x))((^y.(a a)) c)) 7. ==[ beta ]==> (((^y.(a a)) c)((^y.(a a)) c)) 8. ==[ alpha ]==> (((^x.(a a)) c)((^y.(a a)) c)) 9. ==[ beta ]==> ((a a)((^y.(a a)) c)) 10. ==[ alpha ]==> ((a a)((^x.(a a)) c)) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 85593/7465575. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 85594/7465674. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (^y.(a a)))) REDUCED to normal form. ------ 85595/7465701. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(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. ------ 85596/7465782. ------ 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 (^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 85597/7465800. ------ 1. ==[ start ]==> (((^a.b) c)((a b)(^b.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. ------ 85598/7465809. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 85599/7465863. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 85600/7466043. ------ 1. ==[ start ]==> (((a b) c)((a b) c)) REDUCED to normal form. ------ 85601/7466196. ------ 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) a))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(b (a a))) REDUCED to normal form. ------ 85602/7466232. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85603/7466259. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 85604/7466277. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 85605/7466286. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.b) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b) c)) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 85606/7466430. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 85607/7466484. ------ 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 a))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a a))) 7. ==[ beta ]==> ((^y.y)((^z.(a a))(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 9. ==[ beta ]==> ((^y.(a a))(a a)) 10. ==[ alpha ]==> ((^x.(a a))(a a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 85608/7466511. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 85609/7466538. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 85610/7466565. ------ 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. ------ 85611/7466592. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^z.z))) 9. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 10. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 85612/7466619. ------ 1. ==[ start ]==> ((a (b a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.a)((a a) a))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 85613/7466898. ------ 1. ==[ start ]==> (((^a.a)(b a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(b 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. ------ 85614/7466925. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 85615/7466961. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a) c)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) c)) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 85616/7466979. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a b)(a b))((^y.y) a)) 8. ==[ alpha ]==> (((a b)(a b))((^x.x) a)) 9. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 85617/7467060. ------ 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 (^y.y))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 85618/7467123. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b)(^x1.x1))) REDUCED to normal form. ------ 85619/7467186. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^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. ------ 85620/7467213. ------ 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 z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 85621/7467240. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 85622/7467267. ------ 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. ------ 85623/7467294. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)(a b))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(a b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(a b))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a b))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a b))) 7. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 85624/7467321. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 85625/7467348. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.a)(^a.(^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. ------ 85626/7467375. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(^a.a))(^b.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. ------ 85627/7467402. ------ 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 z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 85628/7467465. ------ 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. ------ 85629/7467546. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a a)(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^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. ------ 85630/7467627. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))((^y1.y1)(^z1.z1)))) 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. ------ 85631/7467744. ------ 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. ------ 85632/7467771. ------ 1. ==[ start ]==> (((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 y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 85633/7467852. ------ 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. ------ 85634/7467879. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 85635/7468032. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 85636/7468041. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 85637/7468059. ------ 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. ------ 85638/7468104. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (^y.(y y)))) REDUCED to normal form. ------ 85639/7468131. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b (^b.(^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. ------ 85640/7468185. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(^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. ------ 85641/7468212. ------ 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. ------ 85642/7468239. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 85643/7468266. ------ 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. ------ 85644/7468293. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.z))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 85645/7468338. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 85646/7468347. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 85647/7468374. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 85648/7468383. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c ((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(c ((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y) a))) 5. ==[ beta ]==> (c ((^y.y) a)) 6. ==[ alpha ]==> (c ((^x.x) a)) 7. ==[ beta ]==> (c a) REDUCED to normal form. ------ 85649/7468410. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(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. ------ 85650/7468545. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 85651/7468662. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(^z.(z z)))) REDUCED to normal form. ------ 85652/7468689. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (a a)) a)) 3. ==[ beta ]==> ((b a)((a (a a)) a)) REDUCED to normal form. ------ 85653/7468716. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 85654/7468788. ------ 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)(^y.y))((a a)(^y.y)))(a (a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 85655/7468824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a) b)) 5. ==[ beta ]==> ((^y.(a a))((^z.a) b)) 6. ==[ alpha ]==> ((^x.(a a))((^y.a) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 85656/7468851. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^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. ------ 85657/7468869. ------ 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))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 85658/7468878. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a) d)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y) d)) 3. ==[ beta ]==> (((a b)(^x.a)) d) REDUCED to normal form. ------ 85659/7468905. ------ 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)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 85660/7468932. ------ 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 (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 85661/7468986. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^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. ------ 85662/7469013. ------ 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)) REDUCED to normal form. ------ 85663/7469049. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a) b)(^y.a)) 6. ==[ alpha ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 85664/7469103. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b 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. ------ 85665/7469130. ------ 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. ------ 85666/7469157. ------ 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))(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)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 85667/7469184. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(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. ------ 85668/7469211. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 85669/7469238. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 85670/7469265. ------ 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. ------ 85671/7469319. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a a)) REDUCED to normal form. ------ 85672/7469346. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((b (a a))((^y.y)(^z.z))) 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. ------ 85673/7469373. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(a (^x.x))) REDUCED to normal form. ------ 85674/7469403. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85675/7476063. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.a))) 5. ==[ beta ]==> (a ((^z.a)(^x1.a))) 6. ==[ alpha ]==> (a ((^x.a)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 85676/7476102. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 85677/7476111. ------ 1. ==[ start ]==> (((^a.a) a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((y y)(y y)))) 3. ==[ beta ]==> (a (^y.((y y)(y y)))) 4. ==[ alpha ]==> (a (^x.((x x)(x x)))) REDUCED to normal form. ------ 85678/7476144. ------ 1. ==[ start ]==> ((^a.b)((^b.b) b)) 2. ==[ alpha ]==> ((^x.b)((^y.y) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 85679/7476585. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 85680/7476777. ------ 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 ]==> (((^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. ------ 85681/7476909. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a))(^b.(^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. ------ 85682/7477467. ------ 1. ==[ start ]==> ((^a.((a a) a))((b a)(^a.(^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. ------ 85683/7477722. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(^y.(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 85684/7477800. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 85685/7478298. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(b a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(b a))) 5. ==[ beta ]==> ((^y.a)(^z.(b a))) 6. ==[ alpha ]==> ((^x.a)(^y.(b a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 85686/7478367. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(a (^y1.y1)))((^z.(^x1.x1))(a (^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2))))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(a (^x2.x2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(a (^y1.y1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(a (^y1.y1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(a (^x1.x1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 85687/7478586. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(z a))) 3. ==[ beta ]==> ((^y.(a a))(^z.(z a))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(y a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 85688/7479249. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))(^y1.(^z1.z1)))(((^z.z)(^x1.x1))(^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))(^z2.z2)) 5. ==[ beta ]==> ((((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))(^z2.z2)) 6. ==[ alpha ]==> ((((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2))))(^y2.y2)) 7. ==[ beta ]==> (((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2))))(^y2.y2)) 8. ==[ alpha ]==> (((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1))))(^x2.x2)) 9. ==[ beta ]==> ((^y.y)(^x2.x2)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85689/7479621. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85690/7480005. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)(^z.a))) 3. ==[ eta ]==> (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. ------ 85691/7480287. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.(^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. ------ 85692/7480485. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(a b))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(a b))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(a b))) REDUCED to normal form. ------ 85693/7481232. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.((a a) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.((a a) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.((a a) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((a a) a))) 7. ==[ beta ]==> (((a a)(a a))(^y.((a a) a))) 8. ==[ alpha ]==> (((a a)(a a))(^x.((a a) a))) REDUCED to normal form. ------ 85694/7481760. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z) a) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 85695/7481934. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 85696/7482177. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 85697/7482267. ------ 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))(^y.a)) REDUCED to normal form. ------ 85698/7482366. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 85699/7482438. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.y)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 85700/7482519. ------ 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. ------ 85701/7482573. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 85702/7482735. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.a)) 3. ==[ beta ]==> ((b (a a))(^y.a)) 4. ==[ alpha ]==> ((b (a a))(^x.a)) REDUCED to normal form. ------ 85703/7482759. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.y) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) a))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> ((a a)(a ((^y.y) a))) 10. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 85704/7482762. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.a)) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.a)) REDUCED to normal form. ------ 85705/7482810. ------ 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. ------ 85706/7482837. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) b)(a a))) 3. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 85707/7482846. ------ 1. ==[ start ]==> ((a b)((^b.b) b)) 2. ==[ alpha ]==> ((a b)((^x.x) b)) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 85708/7482864. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 85709/7482891. ------ 1. ==[ start ]==> (((^a.a) b)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 85710/7482918. ------ 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. ------ 85711/7482945. ------ 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)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) b)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 85712/7482972. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)((a a) a))) REDUCED to normal form. ------ 85713/7482999. ------ 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. ------ 85714/7483026. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 85715/7483080. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 85716/7483125. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.z))) 3. ==[ beta ]==> ((^y.a)(b (^z.z))) 4. ==[ alpha ]==> ((^x.a)(b (^y.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 85717/7483206. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 85718/7483287. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 85719/7483305. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 85720/7483332. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.b))) REDUCED to normal form. ------ 85721/7483359. ------ 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. ------ 85722/7483395. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.(y y))((a a)(^z.z)))((^y.(y y))((a a)(^z.z)))) 6. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 10. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 85723/7483422. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 85724/7483476. ------ 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 ]==> (((^y.y)(^y.y))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 7. ==[ beta ]==> ((^y.y)((^z.z) b)) 8. ==[ alpha ]==> ((^x.x)((^y.y) b)) 9. ==[ beta ]==> ((^y.y) b) 10. ==[ alpha ]==> ((^x.x) b) 11. ==[ beta ]==> b REDUCED to normal form. ------ 85725/7483503. ------ 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. ------ 85726/7483530. ------ 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.(^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. ------ 85727/7483611. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))(^b.(^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. ------ 85728/7483773. ------ 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))(^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. ------ 85729/7483836. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 85730/7483863. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)((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. ------ 85731/7483890. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 85732/7483917. ------ 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. ------ 85733/7483944. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a))((a b)(^z.z))) 6. ==[ alpha ]==> ((a (^x.a))((a b)(^y.y))) REDUCED to normal form. ------ 85734/7483971. ------ 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. ------ 85735/7483998. ------ 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.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 9. ==[ beta ]==> ((^y.y)(a b)) 10. ==[ alpha ]==> ((^x.x)(a b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 85736/7484142. ------ 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.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))) REDUCED to normal form. ------ 85737/7484169. ------ 1. ==[ start ]==> ((a ((a a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 85738/7484205. ------ 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))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2) 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. ------ 85739/7484259. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.b)((^y.y)(^z.z)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 85740/7484340. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(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. ------ 85741/7484367. ------ 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)(^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. ------ 85742/7484421. ------ 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 ]==> ((((^y.y) a)((^y.y) a))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^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))))) 7. ==[ beta ]==> ((a a)((^y.y)(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a a)((^x.x)(a (^y.(^z.z))))) 9. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 10. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 85743/7484502. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a))(^b.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. ------ 85744/7484673. ------ 1. ==[ start ]==> (((^a.b) a)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 85745/7484835. ------ 1. ==[ start ]==> ((((a a) a) b)((a b)(a (a a)))) REDUCED to normal form. ------ 85746/7484862. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((a a) a)((^x.x)(^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. ------ 85747/7484889. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.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. ------ 85748/7484943. ------ 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.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. ------ 85749/7484970. ------ 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))((a a)(^z.z)))) REDUCED to normal form. ------ 85750/7484997. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(b a))) 5. ==[ beta ]==> ((^y.a)((a a)(b a))) 6. ==[ alpha ]==> ((^x.a)((a a)(b a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 85751/7485069. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 85752/7485087. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a))(^b.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. ------ 85753/7485114. ------ 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. ------ 85754/7485141. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 85755/7485195. ------ 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))(^x1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))(^z.b))) 5. ==[ beta ]==> (((^y.y) a)((a (a a))(^z.b))) 6. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.b))) 7. ==[ beta ]==> (a ((a (a a))(^y.b))) 8. ==[ alpha ]==> (a ((a (a a))(^x.b))) REDUCED to normal form. ------ 85756/7485222. ------ 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.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 85757/7485249. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 85758/7485285. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(b a))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(b a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(b a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 85759/7485366. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(a a))(^b.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. ------ 85760/7485447. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 85761/7485501. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 85762/7485510. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(c (a a))) REDUCED to normal form. ------ 85763/7485528. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^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. ------ 85764/7485537. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 85765/7485591. ------ 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.z))(a a))) REDUCED to normal form. ------ 85766/7485618. ------ 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)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> ((((^y.y)(a a))(a (^z.z)))(((^y.y)(a a))(a (^z.z)))) 8. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 9. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 10. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(a (^z.z)))) 11. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a (^z.z)))) 12. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 85767/7485645. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a b) a)) REDUCED to normal form. ------ 85768/7485672. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 85769/7485699. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^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))((^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. ------ 85770/7485843. ------ 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))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((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))) REDUCED to normal form. ------ 85771/7485870. ------ 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. ------ 85772/7485897. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(^y.a))) REDUCED to normal form. ------ 85773/7485924. ------ 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. ------ 85774/7485951. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 85775/7485987. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 85776/7486122. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 85777/7486203. ------ 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.(^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. ------ 85778/7486266. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (a b))) 3. ==[ beta ]==> ((a (^y.b))(c (a b))) 4. ==[ alpha ]==> ((a (^x.b))(c (a b))) REDUCED to normal form. ------ 85779/7486284. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^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. ------ 85780/7486320. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a ((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85781/7486347. ------ 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. ------ 85782/7486374. ------ 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. ------ 85783/7486401. ------ 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. ------ 85784/7486428. ------ 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))(^y.y))((^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. ------ 85785/7486572. ------ 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. ------ 85786/7486599. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 85787/7486626. ------ 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. ------ 85788/7486653. ------ 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)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(z z))) 8. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 85789/7486680. ------ 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.(^z.z)))) REDUCED to normal form. ------ 85790/7486707. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((a (b a))(a (^y.a))) 4. ==[ alpha ]==> ((a (b a))(a (^x.a))) REDUCED to normal form. ------ 85791/7486797. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (b ((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 85792/7486878. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 85793/7486941. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c ((a a) a))) REDUCED to normal form. ------ 85794/7486986. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)(^b.(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)(^y.(a a))) 6. ==[ alpha ]==> ((b a)(^x.(a a))) REDUCED to normal form. ------ 85795/7487049. ------ 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. ------ 85796/7487076. ------ 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) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.b))((^z.z) a)) 6. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y) a)) 7. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 85797/7487130. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 85798/7487148. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (^c.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. ------ 85799/7487157. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 85800/7487184. ------ 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. ------ 85801/7487274. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))(^b.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. ------ 85802/7487301. ------ 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 a))(^z.(z z)))) REDUCED to normal form. ------ 85803/7487328. ------ 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.(^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. ------ 85804/7487355. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 85805/7487382. ------ 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. ------ 85806/7487409. ------ 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)(^y.y))((a b) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a b) a)) REDUCED to normal form. ------ 85807/7487436. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a) a) b)) REDUCED to normal form. ------ 85808/7487715. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (^b.(^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. ------ 85809/7487823. ------ 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 (^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. ------ 85810/7487850. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((^x1.x1) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a ((^x1.x1) a))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z) a))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 85811/7487877. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 85812/7487931. ------ 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)(a a))((^y.y)(a a)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)((a a) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)((a a) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)((a a) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a) a))) 9. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 85813/7488012. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.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. ------ 85814/7488075. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(b (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (^z.z))) REDUCED to normal form. ------ 85815/7488129. ------ 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.y1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 85816/7488273. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 85817/7488300. ------ 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. ------ 85818/7488327. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x))(a (^z.a))) 6. ==[ alpha ]==> (((a b)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 85819/7488354. ------ 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. ------ 85820/7488381. ------ 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.(^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. ------ 85821/7488435. ------ 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. ------ 85822/7488462. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a) c)) 3. ==[ beta ]==> ((a b)(((^y.y) a) c)) 4. ==[ alpha ]==> ((a b)(((^x.x) a) c)) 5. ==[ beta ]==> ((a b)(a c)) REDUCED to normal form. ------ 85823/7488471. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 85824/7488498. ------ 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.(^x2.x2))(^y2.(y2 y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.(y2 y2)))) 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. ------ 85825/7488633. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.(z z)))) 3. ==[ beta ]==> (b (b (^z.(z z)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 85826/7488741. ------ 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.(^x2.x2))((^y2.y2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))((^y2.y2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85827/7488795. ------ 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))) 7. ==[ beta ]==> (b ((^y.y)(^y.y))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 85828/7488822. ------ 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)(^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. ------ 85829/7488876. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 85830/7488912. ------ 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. ------ 85831/7488939. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 85832/7488957. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 85833/7488966. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.a))((a a) a)) REDUCED to normal form. ------ 85834/7489065. ------ 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)((^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. ------ 85835/7489101. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(c (a a))) 3. ==[ beta ]==> ((b (^y.y))(c (a a))) 4. ==[ alpha ]==> ((b (^x.x))(c (a a))) REDUCED to normal form. ------ 85836/7489137. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a) c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a) c)) 3. ==[ beta ]==> (((a a) b)((a a) c)) REDUCED to normal form. ------ 85837/7489164. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.a) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 85838/7489191. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(b 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))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 85839/7489245. ------ 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))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a 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. ------ 85840/7489272. ------ 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. ------ 85841/7489299. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x)) a)) REDUCED to normal form. ------ 85842/7489326. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a a) b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a a) b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 85843/7489353. ------ 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. ------ 85844/7489407. ------ 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))) REDUCED to normal form. ------ 85845/7489434. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a a) a)) 3. ==[ beta ]==> ((b (a a))((a a) a)) REDUCED to normal form. ------ 85846/7489461. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x) a)) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 85847/7489487. ------ 1. ==[ start ]==> (^a.(b ((^a.a) b))) 2. ==[ alpha ]==> (^x.(b ((^y.y) b))) 3. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 85848/7489488. ------ 1. ==[ start ]==> (a (b ((^a.a) b))) 2. ==[ alpha ]==> (a (b ((^x.x) b))) 3. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 85849/7489518. ------ 1. ==[ start ]==> ((^a.(a a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((y y)(y y)))) 3. ==[ beta ]==> ((^y.((y y)(y y)))(^y.((y y)(y y)))) 4. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.((y y)(y y)))) 5. ==[ beta ]==> (((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y))))) 6. ==[ alpha ]==> (((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) UNREDUCED: maximal number of reductions reached. ------ 85850/7496160. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(y y))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 85851/7496196. ------ 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)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 85852/7496217. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(a a)))) 3. ==[ beta ]==> (a (^y.(^z.(a a)))) 4. ==[ alpha ]==> (a (^x.(^y.(a a)))) REDUCED to normal form. ------ 85853/7496223. ------ 1. ==[ start ]==> ((^a.(a a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a ((a a)(a a)))) REDUCED to normal form. ------ 85854/7496226. ------ 1. ==[ start ]==> ((a (a a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a (a a))(^x.((x x)(x x)))) REDUCED to normal form. ------ 85855/7496250. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) b)(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 85856/7496331. ------ 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. ------ 85857/7496520. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ eta ]==> ((^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. ------ 85858/7496568. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(y y)))) REDUCED to normal form. ------ 85859/7496691. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 85860/7496892. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((^y.y) x))) 3. ==[ eta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 85861/7497837. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 85862/7497906. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(^z.z)) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 85863/7498086. ------ 1. ==[ start ]==> ((^a.(a b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(c ((a a)(^y.y)))) 3. ==[ beta ]==> ((c ((a a)(^y.y))) b) 4. ==[ alpha ]==> ((c ((a a)(^x.x))) b) REDUCED to normal form. ------ 85864/7498431. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 85865/7498473. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(^a.a))(^a.(^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. ------ 85866/7498692. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 85867/7499727. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(^c.(^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. ------ 85868/7500618. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) REDUCED to normal form. ------ 85869/7500660. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a) a)(^a.(^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. ------ 85870/7501347. ------ 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. ------ 85871/7501551. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85872/7502184. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(a (a a)))) 3. ==[ beta ]==> ((b a)(^y.(a (a a)))) 4. ==[ alpha ]==> ((b a)(^x.(a (a a)))) REDUCED to normal form. ------ 85873/7502373. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 85874/7502400. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 85875/7502481. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.((^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)))(^y1.a)) REDUCED to normal form. ------ 85876/7502571. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 85877/7502706. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.c)) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.c)) REDUCED to normal form. ------ 85878/7502760. ------ 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. ------ 85879/7502841. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.b)) 3. ==[ beta ]==> ((b (a a))(^y.b)) 4. ==[ alpha ]==> ((b (a a))(^x.b)) REDUCED to normal form. ------ 85880/7502865. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a (a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a (a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 85881/7502868. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(x x))) REDUCED to normal form. ------ 85882/7502907. ------ 1. ==[ start ]==> ((a a)(b ((^a.a) b))) 2. ==[ alpha ]==> ((a a)(b ((^x.x) b))) 3. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 85883/7502934. ------ 1. ==[ start ]==> ((a (a a))(a ((a a)(a a)))) REDUCED to normal form. ------ 85884/7502961. ------ 1. ==[ start ]==> ((a b)(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a b)(((^x.x) b)(a a))) 3. ==[ beta ]==> ((a b)(b (a a))) REDUCED to normal form. ------ 85885/7502970. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y) b)) 3. ==[ beta ]==> ((a a)((^y.y) b)) 4. ==[ alpha ]==> ((a a)((^x.x) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 85886/7503015. ------ 1. ==[ start ]==> (((a a)(a a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))((b a)((^x.x) a))) 3. ==[ beta ]==> (((a a)(a a))((b a) a)) REDUCED to normal form. ------ 85887/7503042. ------ 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. ------ 85888/7503177. ------ 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. ------ 85889/7503204. ------ 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 (^x.x))(a a))(a (b a))) REDUCED to normal form. ------ 85890/7503231. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 85891/7503276. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(a a)))) REDUCED to normal form. ------ 85892/7503303. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(a a))) 3. ==[ beta ]==> ((a a)((^y.y)(a a))) 4. ==[ alpha ]==> ((a a)((^x.x)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 85893/7503321. ------ 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.(^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)))) REDUCED to normal form. ------ 85894/7503330. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 85895/7503348. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 85896/7503402. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 85897/7503492. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 85898/7503573. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 85899/7503591. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(^b.b))) 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. ------ 85900/7503600. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)((^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. ------ 85901/7503618. ------ 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. ------ 85902/7503627. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 85903/7503645. ------ 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)((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. ------ 85904/7503654. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 85905/7503816. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))(^b.(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. ------ 85906/7503942. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) a)) 5. ==[ beta ]==> ((^y.y)((^y1.y1) 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. ------ 85907/7504149. ------ 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. ------ 85908/7504176. ------ 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)(^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. ------ 85909/7504203. ------ 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))) REDUCED to normal form. ------ 85910/7504230. ------ 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. ------ 85911/7504320. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(^a.a))(^b.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. ------ 85912/7504374. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 85913/7504410. ------ 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. ------ 85914/7504437. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 85915/7504455. ------ 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. ------ 85916/7504491. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 85917/7504518. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 85918/7504536. ------ 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)((^y.y) a))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a ((^y.y) a))((a a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)((a a)(^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 85919/7504545. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 85920/7504572. ------ 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.(^z1.(^x2.x2)))(^y2.y2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85921/7504617. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 85922/7504788. ------ 1. ==[ start ]==> (((^a.b) a)((^b.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. ------ 85923/7504797. ------ 1. ==[ start ]==> ((a (a b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(c ((a a)(^x.x)))) REDUCED to normal form. ------ 85924/7505139. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 85925/7505157. ------ 1. ==[ start ]==> (((^a.b)(a a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((b a)(^y.y))) 3. ==[ beta ]==> (b ((b a)(^y.y))) 4. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 85926/7505184. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 85927/7505355. ------ 1. ==[ start ]==> (((^a.b) b)((^b.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. ------ 85928/7505427. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((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. ------ 85929/7505481. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a)) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a)) c)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a)) c)) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) c)) 7. ==[ beta ]==> (((^y.y)(a a)) c) 8. ==[ alpha ]==> (((^x.x)(a a)) c) 9. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 85930/7505571. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 85931/7505598. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.b))) 5. ==[ beta ]==> (((a a) a)((^y.b)(^y.b))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(^y.b))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 85932/7505625. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.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. ------ 85933/7505652. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^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. ------ 85934/7505850. ------ 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))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 85935/7505877. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (a b))) REDUCED to normal form. ------ 85936/7505904. ------ 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 (^x.x))(a a))) REDUCED to normal form. ------ 85937/7505931. ------ 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)((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. ------ 85938/7506003. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 85939/7506102. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((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. ------ 85940/7506237. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 85941/7506246. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 85942/7506273. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b)(^b.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. ------ 85943/7506354. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 85944/7506381. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.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. ------ 85945/7506435. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85946/7506480. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(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 a)) REDUCED to normal form. ------ 85947/7506579. ------ 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)(^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. ------ 85948/7506606. ------ 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))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a ((a a) a))) REDUCED to normal form. ------ 85949/7506633. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 85950/7506660. ------ 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. ------ 85951/7506912. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (b (((^z.z)(a a)) a)) 6. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 85952/7507056. ------ 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)(^x.x)) b) a) REDUCED to normal form. ------ 85953/7507128. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 85954/7507182. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a) c)) 3. ==[ beta ]==> (((a b)(a b))((^y.a) c)) 4. ==[ alpha ]==> (((a b)(a b))((^x.a) c)) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 85955/7507272. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (^y.a))) REDUCED to normal form. ------ 85956/7507299. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (^z.b))) 3. ==[ beta ]==> (((a a)(^y.a))(b (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.b))) REDUCED to normal form. ------ 85957/7507326. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.(a a)))) REDUCED to normal form. ------ 85958/7507371. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 85959/7507650. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(^b.(^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. ------ 85960/7507749. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a) b)) 5. ==[ beta ]==> ((a a)((^z.a) b)) 6. ==[ alpha ]==> ((a a)((^x.a) b)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 85961/7507938. ------ 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))(((^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. ------ 85962/7507947. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(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. ------ 85963/7507965. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 85964/7507974. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(((^y1.y1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a ((^y1.y1) a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a ((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 85965/7507992. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 85966/7508055. ------ 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. ------ 85967/7508082. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((^y.b)((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 85968/7508127. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 85969/7508136. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 85970/7508163. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 85971/7508190. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))(^b.(^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. ------ 85972/7508262. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^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. ------ 85973/7508280. ------ 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. ------ 85974/7508307. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 85975/7508334. ------ 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.z))(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 85976/7508361. ------ 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. ------ 85977/7508541. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^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. ------ 85978/7508586. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a) c)) 3. ==[ beta ]==> ((^y.y)(((^z.z) 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. ------ 85979/7508748. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^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. ------ 85980/7508856. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85981/7508865. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 85982/7508892. ------ 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. ------ 85983/7508910. ------ 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. ------ 85984/7508919. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a))(^a.a))) 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. ------ 85985/7508937. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1) a) b)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 85986/7508946. ------ 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)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 85987/7509054. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 85988/7509072. ------ 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 ((^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. ------ 85989/7509081. ------ 1. ==[ start ]==> (((a b)(^c.a))(b (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.a))) REDUCED to normal form. ------ 85990/7509108. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 85991/7509135. ------ 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) REDUCED to normal form. ------ 85992/7509180. ------ 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))((a a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 85993/7509189. ------ 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)((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 85994/7509216. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.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. ------ 85995/7509252. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(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. ------ 85996/7509279. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 85997/7509306. ------ 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))) REDUCED to normal form. ------ 85998/7509333. ------ 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. ------ 85999/7509387. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b b)) REDUCED to normal form. ------ 86000/7509414. ------ 1. ==[ start ]==> (((a b)((a a) a))(a c)) REDUCED to normal form. ------ 86001/7509441. ------ 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)(^y.y))(b (a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (a a))) REDUCED to normal form. ------ 86002/7509468. ------ 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. ------ 86003/7509522. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b a)) REDUCED to normal form. ------ 86004/7509549. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(a b)) 3. ==[ beta ]==> ((b (a a))(a b)) REDUCED to normal form. ------ 86005/7509576. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a (a a))) REDUCED to normal form. ------ 86006/7509611. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 86007/7509612. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 86008/7509642. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(a a)))(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(a a)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 86009/7516284. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.z))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 86010/7516323. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b)) a) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z)) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 86011/7516329. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86012/7516338. ------ 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. ------ 86013/7516359. ------ 1. ==[ start ]==> ((a (a a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 86014/7516368. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 86015/7516419. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 86016/7516581. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^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 ]==> (^x.((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> (^x.((^z.z)(a a))) 8. ==[ alpha ]==> (^x.((^y.y)(a a))) 9. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 86017/7516923. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(a a)))(((^y.(^z.z))((^x1.x1)(a a)))((^y.(^z.z))((^x1.x1)(a a))))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.(^y1.y1))((^z1.z1)(a a)))((^x2.(^y2.y2))((^z2.z2)(a a))))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))((^z1.z1)(a a)))((^x2.(^y2.y2))((^z2.z2)(a a))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1)(a a)))((^y1.(^z1.z1))((^x2.x2)(a a))))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(a a)))((^y1.(^z1.z1))((^x2.x2)(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. ------ 86018/7517367. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.((^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. ------ 86019/7517682. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.(^b.b))) 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. ------ 86020/7517706. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((((^y.(^z.(^x1.x1)))(a a))((^y.(^z.(^x1.x1)))(a a)))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z)))(a a))((^x1.(^y1.(^z1.z1)))(a a)))((^x2.(^y2.(^z2.z2)))(a a))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a a)))((^x2.(^y2.(^z2.z2)))(a a))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a a)))((^z1.(^x2.(^y2.y2)))(a a))) 7. ==[ beta ]==> ((^y.y)((^z1.(^x2.(^y2.y2)))(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. ------ 86021/7517970. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 86022/7518219. ------ 1. ==[ start ]==> ((^a.(a b))((^b.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. ------ 86023/7518813. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^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. ------ 86024/7519122. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(x x))((^y.y)(^z.z))) b) 4. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z))) b) 5. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1))) b) 6. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1))) b) 7. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z))) b) 8. ==[ beta ]==> (((^y.y)(^z.z)) b) 9. ==[ alpha ]==> (((^x.x)(^y.y)) b) 10. ==[ beta ]==> ((^y.y) b) 11. ==[ alpha ]==> ((^x.x) b) 12. ==[ beta ]==> b REDUCED to normal form. ------ 86025/7520244. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ eta ]==> (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. ------ 86026/7520553. ------ 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.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. ------ 86027/7520949. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(a z))) 3. ==[ eta ]==> ((((a a) a)((^x.x)(^y.y))) a) 4. ==[ beta ]==> ((((a a) a)(^y.y)) a) 5. ==[ alpha ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 86028/7521081. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(^b.(^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. ------ 86029/7521480. ------ 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. ------ 86030/7521660. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 86031/7521684. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86032/7521813. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.y))) 5. ==[ beta ]==> ((a b)(^y.(^z.y))) 6. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 86033/7521999. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 86034/7522317. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 86035/7522704. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.a))) REDUCED to normal form. ------ 86036/7522785. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.z))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.y))) 7. ==[ beta ]==> ((a a)(^y.(^z.y))) 8. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 86037/7522839. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 86038/7522893. ------ 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. ------ 86039/7522947. ------ 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)))) REDUCED to normal form. ------ 86040/7522974. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) 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. ------ 86041/7522998. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^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))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 11. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 12. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 13. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 14. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 15. ==[ beta ]==> ((^y.y)(^z.z)) 16. ==[ alpha ]==> ((^x.x)(^y.y)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86042/7523001. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 86043/7523037. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 86044/7523049. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 86045/7523058. ------ 1. ==[ start ]==> ((a (^a.a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) b))) 3. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 86046/7523085. ------ 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. ------ 86047/7523112. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(a a))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(a a))) 5. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 86048/7523121. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.b) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 86049/7523139. ------ 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)))) REDUCED to normal form. ------ 86050/7523148. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.x) 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. ------ 86051/7523193. ------ 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. ------ 86052/7523220. ------ 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))((^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. ------ 86053/7523247. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((a b)((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((a b)((a a) a))) REDUCED to normal form. ------ 86054/7523274. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 86055/7523301. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 86056/7523382. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 86057/7523409. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((a a)((^y1.y1) 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. ------ 86058/7523445. ------ 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))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 86059/7523472. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 86060/7523499. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(^x1.a))) REDUCED to normal form. ------ 86061/7523526. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 86062/7523562. ------ 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) 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. ------ 86063/7523589. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 86064/7523634. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 86065/7523643. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^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)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 86066/7523715. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 86067/7523742. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)(^b.b))) 2. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.x))) REDUCED to normal form. ------ 86068/7523769. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) b) a)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b a)) REDUCED to normal form. ------ 86069/7523796. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 86070/7523823. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a) c)) REDUCED to normal form. ------ 86071/7523886. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 86072/7523913. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 86073/7523967. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 86074/7524084. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((^y1.y1) b))) 5. ==[ beta ]==> ((^y.y)(a ((^y1.y1) 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. ------ 86075/7524093. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.b) a)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x) a)) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 86076/7524120. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.(^y1.y1))) b)) 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)) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 86077/7524138. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)((b a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 86078/7524165. ------ 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 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)(^x.x)) a) REDUCED to normal form. ------ 86079/7524219. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a b)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 86080/7524372. ------ 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. ------ 86081/7524399. ------ 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. ------ 86082/7524426. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 86083/7524552. ------ 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. ------ 86084/7524579. ------ 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)((^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. ------ 86085/7524633. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 86086/7524687. ------ 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. ------ 86087/7524714. ------ 1. ==[ start ]==> ((((^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))) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1))) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86088/7524741. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((b a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((b a) b)) REDUCED to normal form. ------ 86089/7524804. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 86090/7524831. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)(^b.(^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. ------ 86091/7524885. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 86092/7524912. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 86093/7524939. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 86094/7524948. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.b)(c ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.b)(c ((a a)(^y.y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 86095/7525029. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((b a)(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(a a))) IRREDUCIBLE: cycle. ------ 86096/7525110. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b)(a (a a)))) 3. ==[ beta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 86097/7525137. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 86098/7525164. ------ 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)(^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. ------ 86099/7525218. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a ((^y.y)(a a)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((^x.x)(a a)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(a (a a))) REDUCED to normal form. ------ 86100/7525308. ------ 1. ==[ start ]==> (((a b)(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 86101/7525344. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 86102/7525371. ------ 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.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 86103/7525398. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(a (a a)))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 86104/7525452. ------ 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.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))((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))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 86105/7525479. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))(a b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a b)(a b))) REDUCED to normal form. ------ 86106/7525497. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 86107/7525506. ------ 1. ==[ start ]==> (((a b)(a a))((^b.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. ------ 86108/7525533. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^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. ------ 86109/7525785. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 86110/7525839. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a (b a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (b a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (b a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (b a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (b a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (b a))) 9. ==[ beta ]==> ((^y.y)(a (b a))) 10. ==[ alpha ]==> ((^x.x)(a (b a))) 11. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 86111/7525902. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 86112/7525920. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((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. ------ 86113/7526073. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 86114/7526145. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a))(^a.(^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. ------ 86115/7526154. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 86116/7526181. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 86117/7526388. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a b) c)((a a) b)) REDUCED to normal form. ------ 86118/7526415. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a b) c)) 3. ==[ beta ]==> (((a a) b)((a b) c)) REDUCED to normal form. ------ 86119/7526622. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 86120/7526631. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 86121/7526658. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 86122/7526775. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c (^y.b))) 3. ==[ beta ]==> ((a (a b))(c (^y.b))) 4. ==[ alpha ]==> ((a (a b))(c (^x.b))) REDUCED to normal form. ------ 86123/7526802. ------ 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. ------ 86124/7526856. ------ 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 a)) REDUCED to normal form. ------ 86125/7526883. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 86126/7526937. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(a (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. ------ 86127/7526964. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (b a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (b a))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (b a))((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a (b a))((^x.x)(^y.y))) 9. ==[ beta ]==> ((a (b a))(^y.y)) 10. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 86128/7527243. ------ 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. ------ 86129/7527270. ------ 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.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. ------ 86130/7527306. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.b) b)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.b) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b) b)) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 86131/7527324. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a b))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 86132/7527333. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a) c)) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 86133/7527405. ------ 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)(^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. ------ 86134/7527531. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 86135/7527558. ------ 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))((^y1.y1) 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. ------ 86136/7527585. ------ 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 z))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (a a)))) 7. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 86137/7527612. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.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. ------ 86138/7527639. ------ 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 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. ------ 86139/7527666. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)(a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a b))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a b)) REDUCED to normal form. ------ 86140/7527693. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 86141/7527747. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(^a.a))(^b.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. ------ 86142/7527801. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(^b.(^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. ------ 86143/7527891. ------ 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 a))(^y.(a a)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a) a)(a a))) 5. ==[ beta ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 86144/7527972. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 86145/7528089. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 86146/7528116. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (a a))(^x1.a))) REDUCED to normal form. ------ 86147/7528197. ------ 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. ------ 86148/7528224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a) a) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a) a)) 5. ==[ beta ]==> ((^y.b)(((a a) a) a)) 6. ==[ alpha ]==> ((^x.b)(((a a) a) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 86149/7528278. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a)) c)) REDUCED to normal form. ------ 86150/7528377. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 86151/7528404. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 86152/7528503. ------ 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. ------ 86153/7528530. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (^z.a))) 3. ==[ beta ]==> (((^y.y)(a b))(a (^z.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (^y.a))) 5. ==[ beta ]==> ((a b)(a (^y.a))) 6. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 86154/7528557. ------ 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. ------ 86155/7528584. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 86156/7528611. ------ 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. ------ 86157/7528638. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 86158/7528683. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^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. ------ 86159/7528692. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 86160/7528719. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 86161/7528890. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 86162/7529007. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 86163/7529034. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) 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. ------ 86164/7529061. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 86165/7529088. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1) a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a b)) REDUCED to normal form. ------ 86166/7529133. ------ 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)(^y.y))((a a)(^y.y)))(b ((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(b a)) REDUCED to normal form. ------ 86167/7529169. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z)) a)) 5. ==[ beta ]==> ((^y.(a a))((^z.(z z)) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.(y y)) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86168/7529196. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 86169/7529214. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (b ((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 86170/7529223. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 86171/7529277. ------ 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)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.z))) REDUCED to normal form. ------ 86172/7529322. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(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. ------ 86173/7529331. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^y1.a))) REDUCED to normal form. ------ 86174/7529358. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^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 (^x.x))(a a)) REDUCED to normal form. ------ 86175/7529394. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^a.a))(^a.(^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. ------ 86176/7529421. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 86177/7529448. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c (^y.y))) 3. ==[ beta ]==> ((a (b a))(c (^y.y))) 4. ==[ alpha ]==> ((a (b a))(c (^x.x))) REDUCED to normal form. ------ 86178/7529475. ------ 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. ------ 86179/7529502. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(a (^x1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(a (^x1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a (^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(a (^z.a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (^y.a))) 7. ==[ beta ]==> ((a a)(a (^y.a))) 8. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 86180/7529529. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^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. ------ 86181/7529556. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(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. ------ 86182/7529583. ------ 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))(^z1.z1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 86183/7529610. ------ 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. ------ 86184/7529664. ------ 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)))) REDUCED to normal form. ------ 86185/7529691. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(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. ------ 86186/7529718. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(^y.y))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 86187/7529754. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86188/7536474. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b)) b) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z)) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 86189/7536498. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86190/7536528. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 86191/7536537. ------ 1. ==[ start ]==> (((a a) a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a) a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 86192/7536543. ------ 1. ==[ start ]==> ((^a.b)((^c.(a a)) a)) 2. ==[ alpha ]==> ((^x.b)((^y.(a a)) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 86193/7536861. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) b)(^y.b)) REDUCED to normal form. ------ 86194/7537083. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(a a)))((((^y.y)(^z.z))(^x1.(a a)))(((^y.y)(^z.z))(^x1.(a a))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((((^x1.x1)(^y1.y1))(^z1.(a a)))(((^x2.x2)(^y2.y2))(^z2.(a a))))) 5. ==[ beta ]==> (((^y.y)(^z.(a a)))((((^x1.x1)(^y1.y1))(^z1.(a a)))(((^x2.x2)(^y2.y2))(^z2.(a a))))) 6. ==[ alpha ]==> (((^x.x)(^y.(a a)))((((^z.z)(^x1.x1))(^y1.(a a)))(((^z1.z1)(^x2.x2))(^y2.(a a))))) 7. ==[ beta ]==> ((^y.(a a))((((^z.z)(^x1.x1))(^y1.(a a)))(((^z1.z1)(^x2.x2))(^y2.(a a))))) 8. ==[ alpha ]==> ((^x.(a a))((((^y.y)(^z.z))(^x1.(a a)))(((^y1.y1)(^z1.z1))(^x2.(a a))))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86195/7537203. ------ 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. ------ 86196/7537308. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 86197/7537527. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.y1))) 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. ------ 86198/7537536. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((^y.y) b))) 3. ==[ beta ]==> (((a (a a)) b)(^x.b)) REDUCED to normal form. ------ 86199/7537866. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((((a (^y.(^z.z)))(^x1.x1))((a (^y.(^z.z)))(^x1.x1)))((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((((a (^x.(^y.y)))(^z.z))((a (^x1.(^y1.y1)))(^z1.z1)))((a (^x2.(^y2.y2)))(^z2.z2))) REDUCED to normal form. ------ 86200/7538742. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 86201/7539012. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^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)) REDUCED to normal form. ------ 86202/7539291. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 86203/7539648. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((((a a) a)(^z.(z z)))(((a a) a)(^z.(z z))))(^y.y)) 4. ==[ alpha ]==> (((((a a) a)(^x.(x x)))(((a a) a)(^y.(y y))))(^z.z)) REDUCED to normal form. ------ 86204/7540047. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 86205/7540404. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))(^b.(^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. ------ 86206/7540497. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (b (^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 7. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 86207/7540713. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 86208/7540953. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.b)(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 86209/7541820. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 86210/7541829. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.((x1 x1) x1))) REDUCED to normal form. ------ 86211/7542159. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (a a)) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 86212/7542495. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(a (a a)))) 5. ==[ beta ]==> (b (^y.(a (a a)))) 6. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 86213/7542612. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(z (z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z (z z)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y (y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86214/7542693. ------ 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)))(^z.a)) REDUCED to normal form. ------ 86215/7542945. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.c)) 5. ==[ beta ]==> (((^y.y)(a a))(^z.c)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.c)) 7. ==[ beta ]==> ((a a)(^y.c)) 8. ==[ alpha ]==> ((a a)(^x.c)) REDUCED to normal form. ------ 86216/7542999. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 86217/7543107. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 86218/7543134. ------ 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. ------ 86219/7543158. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 86220/7543197. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 86221/7543227. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))(^b.b))) 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. ------ 86222/7543236. ------ 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))) 5. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 86223/7543263. ------ 1. ==[ start ]==> (((a a) a)(a ((a a)(a a)))) REDUCED to normal form. ------ 86224/7543272. ------ 1. ==[ start ]==> ((a b)((^c.(a a)) a)) 2. ==[ alpha ]==> ((a b)((^x.(a a)) a)) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 86225/7543290. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a a)(^x.x))(b (a a))) REDUCED to normal form. ------ 86226/7543317. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 86227/7543344. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 86228/7543371. ------ 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. ------ 86229/7543398. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 86230/7543425. ------ 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. ------ 86231/7543452. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(a b))) REDUCED to normal form. ------ 86232/7543506. ------ 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. ------ 86233/7543551. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.a)(c (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.a)(c (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 86234/7543578. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.y1))) 3. ==[ beta ]==> ((^y.y)(b (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 86235/7543587. ------ 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 (^x.x)) b)((a a) b)) REDUCED to normal form. ------ 86236/7543632. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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. ------ 86237/7543659. ------ 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 (^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. ------ 86238/7543731. ------ 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) 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. ------ 86239/7543758. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 86240/7543785. ------ 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. ------ 86241/7543812. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^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. ------ 86242/7543821. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86243/7543848. ------ 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 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. ------ 86244/7543902. ------ 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 ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 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. ------ 86245/7543929. ------ 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. ------ 86246/7543956. ------ 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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86247/7544037. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 86248/7544172. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 86249/7544253. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(^b.b))) 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)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86250/7544262. ------ 1. ==[ start ]==> (((a (a a)) b)(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) b)(a ((^x.x) b))) 3. ==[ beta ]==> (((a (a a)) b)(a b)) REDUCED to normal form. ------ 86251/7544289. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))(a a))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 86252/7544316. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 86253/7544343. ------ 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)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 86254/7544370. ------ 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. ------ 86255/7544397. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 86256/7544424. ------ 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. ------ 86257/7544595. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 86258/7544685. ------ 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. ------ 86259/7544766. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 86260/7544793. ------ 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.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1)(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. ------ 86261/7544847. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(b a))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(b a))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 86262/7545117. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.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. ------ 86263/7545261. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(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. ------ 86264/7545288. ------ 1. ==[ start ]==> (((a b) a)((a b)(a (a a)))) REDUCED to normal form. ------ 86265/7545315. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)(^y.y))) REDUCED to normal form. ------ 86266/7545369. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 86267/7545396. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 86268/7545423. ------ 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 REDUCED to normal form. ------ 86269/7545450. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(b a))) REDUCED to normal form. ------ 86270/7545468. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 86271/7545513. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 86272/7545540. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(a 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. ------ 86273/7545567. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 86274/7545594. ------ 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.(^y.y)))) REDUCED to normal form. ------ 86275/7545648. ------ 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. ------ 86276/7545675. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) 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. ------ 86277/7545711. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^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. ------ 86278/7545738. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 86279/7545792. ------ 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))(^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. ------ 86280/7545873. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 86281/7545927. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.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. ------ 86282/7545954. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.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. ------ 86283/7545963. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(c (a a))) REDUCED to normal form. ------ 86284/7546017. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 86285/7546044. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(a a))) 6. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(a a))) 7. ==[ beta ]==> ((((a a)(^y.y))(a a))(((a a)(^y.y))(a a))) 8. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 86286/7546071. ------ 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 (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 86287/7546098. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 86288/7546125. ------ 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. ------ 86289/7546296. ------ 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))(^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))) REDUCED to normal form. ------ 86290/7546323. ------ 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))(^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. ------ 86291/7546350. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a b)(^b.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. ------ 86292/7546377. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 86293/7546413. ------ 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)(^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. ------ 86294/7546548. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 86295/7546656. ------ 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.(^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. ------ 86296/7546710. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)(^z.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(^y.b))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 86297/7546746. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b ((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86298/7546773. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 86299/7546800. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 86300/7546827. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 86301/7546854. ------ 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))(^y.y))(((a a) a) a)) REDUCED to normal form. ------ 86302/7547025. ------ 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. ------ 86303/7547052. ------ 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. ------ 86304/7547079. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 86305/7547106. ------ 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)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^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. ------ 86306/7547133. ------ 1. ==[ start ]==> ((a (b a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 86307/7547223. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (b ((^z.z)((^x1.x1)(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. ------ 86308/7547304. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a)(^b.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. ------ 86309/7547412. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^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. ------ 86310/7547439. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 86311/7547475. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a b)(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a b)(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a b)(a a))) REDUCED to normal form. ------ 86312/7547502. ------ 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. ------ 86313/7547556. ------ 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))(a (a a)))) REDUCED to normal form. ------ 86314/7547583. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 86315/7547610. ------ 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 a) a))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 86316/7547637. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(a b))) REDUCED to normal form. ------ 86317/7547682. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)(a a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 86318/7547700. ------ 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. ------ 86319/7547727. ------ 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)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.a)) REDUCED to normal form. ------ 86320/7547754. ------ 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.(z z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a 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. ------ 86321/7547781. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a)(^b.(^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. ------ 86322/7547835. ------ 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)(^y.y))((a a)(^z.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 86323/7547862. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a b) a)) REDUCED to normal form. ------ 86324/7547889. ------ 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)) 5. ==[ beta ]==> (((a a) a)(((a a) a) b)) REDUCED to normal form. ------ 86325/7547979. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)(^b.(^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. ------ 86326/7548276. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 86327/7548303. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 86328/7548357. ------ 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))((^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. ------ 86329/7548438. ------ 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))(^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. ------ 86330/7548501. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (a (a a)))) REDUCED to normal form. ------ 86331/7548555. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a ((a a) a))) REDUCED to normal form. ------ 86332/7548591. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1)) 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. ------ 86333/7548618. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y)) c)) 3. ==[ beta ]==> (((a (^x.x))(b a))(c c)) REDUCED to normal form. ------ 86334/7548726. ------ 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. ------ 86335/7548753. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 86336/7548780. ------ 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. ------ 86337/7548807. ------ 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 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 86338/7548861. ------ 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 (^x.(^y.y)))(a a))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 86339/7548888. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (a a)) b)) 3. ==[ beta ]==> ((a b)((a (a a)) b)) REDUCED to normal form. ------ 86340/7548897. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 86341/7548924. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^z1.a)(^x2.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. ------ 86342/7549059. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (^b.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. ------ 86343/7549167. ------ 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. ------ 86344/7549176. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c c)) REDUCED to normal form. ------ 86345/7549221. ------ 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. ------ 86346/7549248. ------ 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)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86347/7549302. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.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. ------ 86348/7549338. ------ 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 a) REDUCED to normal form. ------ 86349/7549365. ------ 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. ------ 86350/7549383. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c (^a.(^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. ------ 86351/7549392. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 86352/7549419. ------ 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))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 86353/7549491. ------ 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.(^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. ------ 86354/7549500. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b c)) REDUCED to normal form. ------ 86355/7549563. ------ 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) b)((a (^y.y)) b)) 4. ==[ alpha ]==> (((a a) b)((a (^x.x)) b)) REDUCED to normal form. ------ 86356/7549617. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a) a)) 3. ==[ beta ]==> ((a (b a))((^y.a) a)) 4. ==[ alpha ]==> ((a (b a))((^x.a) a)) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 86357/7549644. ------ 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. ------ 86358/7549698. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 86359/7549725. ------ 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. ------ 86360/7549752. ------ 1. ==[ start ]==> ((((^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)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z)) a)) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z)) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 86361/7549779. ------ 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. ------ 86362/7549833. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) b) REDUCED to normal form. ------ 86363/7549860. ------ 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. ------ 86364/7549887. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a) a)) REDUCED to normal form. ------ 86365/7549923. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 86366/7549998. ------ 1. ==[ start ]==> ((^a.b)(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.((y y)(y y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 86367/7556613. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^y.b)(^y.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(^x1.b))) 5. ==[ beta ]==> (b ((^z.b)(^x1.b))) 6. ==[ alpha ]==> (b ((^x.b)(^y.b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 86368/7556652. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b)) c) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z)) c) 3. ==[ beta ]==> ((^y.y) c) 4. ==[ alpha ]==> ((^x.x) c) 5. ==[ beta ]==> c REDUCED to normal form. ------ 86369/7556703. ------ 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))) 5. ==[ beta ]==> ((b b)(b ((^y.y) b))) 6. ==[ alpha ]==> ((b b)(b ((^x.x) b))) 7. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 86370/7556724. ------ 1. ==[ start ]==> (((a a) a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 86371/7556730. ------ 1. ==[ start ]==> ((^a.b)(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(a ((a a)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 86372/7556733. ------ 1. ==[ start ]==> ((a b)(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a b)(^x.((x x)(x x)))) REDUCED to normal form. ------ 86373/7556766. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 86374/7556811. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> (((b a)((^z.z) a))(^y.y)) 4. ==[ alpha ]==> (((b a)((^x.x) a))(^y.y)) 5. ==[ beta ]==> (((b a) a)(^y.y)) 6. ==[ alpha ]==> (((b a) a)(^x.x)) REDUCED to normal form. ------ 86375/7557000. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(b a))) 3. ==[ eta ]==> ((^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. ------ 86376/7557171. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 86377/7557399. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 86378/7557723. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(^b.b))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 86379/7558344. ------ 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 (^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. ------ 86380/7558386. ------ 1. ==[ start ]==> ((^a.(^a.b))((b a) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((b a) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 86381/7558938. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 86382/7558953. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((b a)(^z.z))) 3. ==[ beta ]==> (^y.(((b a)(^z.z))((b a)(^z.z)))) 4. ==[ alpha ]==> (^x.(((b a)(^y.y))((b a)(^z.z)))) REDUCED to normal form. ------ 86383/7559199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^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. ------ 86384/7560234. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 86385/7560684. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (b (^z.(^x1.(a a)))) 6. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 86386/7561140. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a b)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 86387/7561854. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((a a) a))) 5. ==[ beta ]==> ((^y.b)(^z.((a a) a))) 6. ==[ alpha ]==> ((^x.b)(^y.((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 86388/7562016. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.a))) REDUCED to normal form. ------ 86389/7562031. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86390/7562160. ------ 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)(^x.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 86391/7562313. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.((^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. ------ 86392/7562682. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(z z)))) 5. ==[ beta ]==> (b (^y.(^z.(z z)))) 6. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 86393/7562691. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 86394/7562799. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(z z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86395/7562907. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 86396/7562988. ------ 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))(^y.a)) REDUCED to normal form. ------ 86397/7563078. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x) 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. ------ 86398/7563345. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a b)) 3. ==[ beta ]==> (((a b)(a b))((a b)(a b))) REDUCED to normal form. ------ 86399/7563348. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.b)) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.b)) REDUCED to normal form. ------ 86400/7563384. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 86401/7563432. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(^b.b))) 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))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 86402/7563441. ------ 1. ==[ start ]==> ((a (a a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a (a a))(b ((^x.x) b))) 3. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 86403/7563468. ------ 1. ==[ start ]==> ((a b)(a ((a a)(a a)))) REDUCED to normal form. ------ 86404/7563504. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 86405/7563522. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 86406/7563549. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a)((^y.y) a))) 3. ==[ beta ]==> ((a (a (^x.x)))((b a) a)) REDUCED to normal form. ------ 86407/7563684. ------ 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. ------ 86408/7563711. ------ 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. ------ 86409/7563738. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(b a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(b a))) 5. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 86410/7563783. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.y))) REDUCED to normal form. ------ 86411/7563828. ------ 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. ------ 86412/7563837. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 86413/7563855. ------ 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.(^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. ------ 86414/7563864. ------ 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 (^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. ------ 86415/7563909. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 86416/7564017. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(a a)))(((^y.y)(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(a a)))) 9. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.(a a)))) 10. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.(a a)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86417/7564044. ------ 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. ------ 86418/7564080. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(b a))) 3. ==[ beta ]==> ((a b)((^y.a)(b a))) 4. ==[ alpha ]==> ((a b)((^x.a)(b a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 86419/7564098. ------ 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 ]==> (((^y.y)(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 86420/7564107. ------ 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))))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 86421/7564125. ------ 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. ------ 86422/7564134. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 86423/7564152. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 86424/7564161. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 86425/7564188. ------ 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.(^y2.y2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 86426/7564206. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b a) c)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((b a) c)) 3. ==[ beta ]==> (((a a)(a a))((b a) c)) REDUCED to normal form. ------ 86427/7564323. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.b))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.b))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.b))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 86428/7564458. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 86429/7564503. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 8. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 86430/7564656. ------ 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)(^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. ------ 86431/7564683. ------ 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. ------ 86432/7564710. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) 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)))) 7. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 8. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 86433/7564737. ------ 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. ------ 86434/7564764. ------ 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. ------ 86435/7564827. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b a)(^a.(^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. ------ 86436/7564881. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a (((^z.z)(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(y y)))) 7. ==[ beta ]==> (a ((a a)(^y.(y y)))) 8. ==[ alpha ]==> (a ((a a)(^x.(x x)))) REDUCED to normal form. ------ 86437/7564917. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 86438/7564962. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.b))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.b))) 7. ==[ beta ]==> (((a a) a)(^y.b)) 8. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 86439/7564989. ------ 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. ------ 86440/7564998. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((^y1.y1)(a a))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 86441/7565025. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 86442/7565052. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 86443/7565079. ------ 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 (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86444/7565106. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.(^x1.x1)))(^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. ------ 86445/7565124. ------ 1. ==[ start ]==> ((a (^a.b))((b a) b)) 2. ==[ alpha ]==> ((a (^x.b))((b a) b)) REDUCED to normal form. ------ 86446/7565295. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 86447/7565394. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1))) a)) IRREDUCIBLE: cycle. ------ 86448/7565619. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(c (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(c (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 86449/7565673. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 86450/7565691. ------ 1. ==[ start ]==> ((a (^b.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((b a)(^y.y))) REDUCED to normal form. ------ 86451/7565862. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))(a b))) 3. ==[ beta ]==> (b ((^y.(y y))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 86452/7565907. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86453/7565988. ------ 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) REDUCED to normal form. ------ 86454/7566078. ------ 1. ==[ start ]==> (((a b) b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 86455/7566105. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 86456/7566132. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 86457/7566159. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.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. ------ 86458/7566285. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 86459/7566357. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^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))((^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. ------ 86460/7566384. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))((a a) a))) REDUCED to normal form. ------ 86461/7566411. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(a b))) 5. ==[ beta ]==> ((a ((a a) a))(a (a b))) REDUCED to normal form. ------ 86462/7566438. ------ 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.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. ------ 86463/7566465. ------ 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. ------ 86464/7566510. ------ 1. ==[ start ]==> (((^a.b) c)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 86465/7566609. ------ 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.(^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. ------ 86466/7566744. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 86467/7566753. ------ 1. ==[ start ]==> (((a b) c)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 86468/7566780. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(a a))(^a.(^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. ------ 86469/7566807. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 86470/7566861. ------ 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.(^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. ------ 86471/7566888. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a (^x.b))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 86472/7566942. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^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. ------ 86473/7566987. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 86474/7567086. ------ 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 (a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 86475/7567113. ------ 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)(^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. ------ 86476/7567140. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 86477/7567167. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x))(a b))) REDUCED to normal form. ------ 86478/7567194. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.y)((a a)((^z.z)(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. ------ 86479/7567419. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.(a a)))) 5. ==[ beta ]==> (b ((a a)(^z.(a a)))) 6. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 86480/7567500. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 86481/7567563. ------ 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)(^x.x)) b)((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 86482/7567689. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.b) b)) 3. ==[ beta ]==> (((a b)(a b))((^y.b) b)) 4. ==[ alpha ]==> (((a b)(a b))((^x.b) b)) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 86483/7567806. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (^c.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. ------ 86484/7567833. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.b))) REDUCED to normal form. ------ 86485/7567878. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b)(^x1.x1))) REDUCED to normal form. ------ 86486/7568157. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86487/7568256. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.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)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 86488/7568445. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 86489/7568472. ------ 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))(^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. ------ 86490/7568481. ------ 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 (^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. ------ 86491/7568499. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 86492/7568553. ------ 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 a))((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 86493/7568562. ------ 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. ------ 86494/7568589. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)((a a) a))) 5. ==[ beta ]==> ((^y.b)((^z.z)((a a) a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 86495/7568634. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 86496/7568643. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^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. ------ 86497/7568670. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 86498/7568697. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 86499/7568769. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.a) a)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 86500/7568787. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(a a))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 86501/7568814. ------ 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. ------ 86502/7568841. ------ 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.x1) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y) a))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 86503/7568868. ------ 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. ------ 86504/7568895. ------ 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)))) 7. ==[ beta ]==> ((a b)((a a)(^y.y))) 8. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 86505/7569048. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 86506/7569093. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((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. ------ 86507/7569255. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a) c)) 3. ==[ beta ]==> (b ((^z.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 86508/7569363. ------ 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)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86509/7569372. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 86510/7569399. ------ 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 ]==> ((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. ------ 86511/7569417. ------ 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. ------ 86512/7569426. ------ 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. ------ 86513/7569444. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((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. ------ 86514/7569453. ------ 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))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 86515/7569534. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86516/7569579. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 86517/7569588. ------ 1. ==[ start ]==> (((a b)(^c.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 86518/7569615. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b (^b.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. ------ 86519/7569642. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.(z z)))) REDUCED to normal form. ------ 86520/7569687. ------ 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 (^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. ------ 86521/7569696. ------ 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.(^z1.z1))(a (^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. ------ 86522/7569723. ------ 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. ------ 86523/7569759. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c (a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c (a a))) 3. ==[ beta ]==> (((a a) b)(c (a a))) REDUCED to normal form. ------ 86524/7569786. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b (a (^x1.x1)))) REDUCED to normal form. ------ 86525/7569813. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b 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. ------ 86526/7569840. ------ 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. ------ 86527/7569867. ------ 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. ------ 86528/7569894. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c a)) REDUCED to normal form. ------ 86529/7569921. ------ 1. ==[ start ]==> (((a b)((a a) a))(b b)) REDUCED to normal form. ------ 86530/7569975. ------ 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. ------ 86531/7570029. ------ 1. ==[ start ]==> (((a (^a.(^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. ------ 86532/7570056. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b a)) 3. ==[ beta ]==> ((b (a a))(b a)) REDUCED to normal form. ------ 86533/7570083. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a b)) REDUCED to normal form. ------ 86534/7570119. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 86535/7570145. ------ 1. ==[ start ]==> (^a.((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((^y.x)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 86536/7570146. ------ 1. ==[ start ]==> (a ((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a ((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86537/7570203. ------ 1. ==[ start ]==> ((^a.b)(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 86538/7571526. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.z))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^y.(^z.z))) 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. ------ 86539/7575504. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z) z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86540/7576818. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^y.(a a))(^y.(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. ------ 86541/7576890. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 86542/7576917. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(^b.b))) 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)((^x1.(^y1.y1))(^z1.z1))) 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. ------ 86543/7576944. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 86544/7576947. ------ 1. ==[ start ]==> ((a b)(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 86545/7576956. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((y y)(y y)))) 3. ==[ beta ]==> ((a a)(^y.((y y)(y y)))) 4. ==[ alpha ]==> ((a a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 86546/7576980. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 86547/7577142. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)(a b))) 3. ==[ beta ]==> (^y.(((a a) a)(a b))) 4. ==[ alpha ]==> (^x.(((a a) a)(a b))) REDUCED to normal form. ------ 86548/7577835. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(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. ------ 86549/7578267. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (^b.b))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (^y.y))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (^y.y))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 86550/7578270. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(^b.b))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 86551/7578780. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^z.(a a))) b) 4. ==[ alpha ]==> (((^x.(x x))(^y.(a a))) b) 5. ==[ beta ]==> (((^y.(a a))(^y.(a a))) b) 6. ==[ alpha ]==> (((^x.(a a))(^y.(a a))) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 86552/7578873. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(a (^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. ------ 86553/7579143. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(b a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(b a))) 3. ==[ beta ]==> (b (^y.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 86554/7579374. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.a)((^x1.x1)(a a)))((^z.a)((^x1.x1)(a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)((^z.z)(a a)))((^x1.a)((^y1.y1)(a a))))) 5. ==[ beta ]==> (((^y.a)((^z.z)(a a)))((^x1.a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.a)((^y.y)(a a)))((^z.a)((^x1.x1)(a a)))) 7. ==[ beta ]==> (a ((^z.a)((^x1.x1)(a a)))) 8. ==[ alpha ]==> (a ((^x.a)((^y.y)(a a)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86555/7580049. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((((^z.b)((^x1.x1) a))((^z.b)((^x1.x1) a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.b)((^y.y) a))((^z.b)((^x1.x1) a)))(^y1.y1)) 5. ==[ beta ]==> ((b ((^z.b)((^x1.x1) a)))(^y1.y1)) 6. ==[ alpha ]==> ((b ((^x.b)((^y.y) a)))(^z.z)) 7. ==[ beta ]==> ((b b)(^z.z)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 86556/7580466. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 86557/7580805. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(a (a a)))) 3. ==[ eta ]==> (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. ------ 86558/7581537. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(a x))) 3. ==[ eta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 86559/7581642. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^x1.(x1 x1))(^y1.(y1 y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.x1))) IRREDUCIBLE: cycle. ------ 86560/7581735. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(z b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(z b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(z b))) 5. ==[ beta ]==> ((a a)(^z.(z b))) 6. ==[ alpha ]==> ((a a)(^x.(x b))) REDUCED to normal form. ------ 86561/7582068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(^c.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. ------ 86562/7582245. ------ 1. ==[ start ]==> ((^a.(^b.b))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a ((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86563/7582248. ------ 1. ==[ start ]==> ((a (^b.b))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 86564/7582527. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.(^b.(^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. ------ 86565/7582536. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.x1))) REDUCED to normal form. ------ 86566/7582560. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^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. ------ 86567/7582905. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 86568/7583013. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.d)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.d)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.d)) 5. ==[ beta ]==> ((^y.(a a))(^z.d)) 6. ==[ alpha ]==> ((^x.(a a))(^y.d)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86569/7583202. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.(^b.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. ------ 86570/7583292. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.a))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.a))) REDUCED to normal form. ------ 86571/7583373. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.x))) REDUCED to normal form. ------ 86572/7583427. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 86573/7583535. ------ 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. ------ 86574/7583559. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.y)(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(a a))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^z.z)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 10. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 11. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 86575/7583562. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(a a))) REDUCED to normal form. ------ 86576/7583598. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 86577/7583637. ------ 1. ==[ start ]==> ((a a)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 86578/7583664. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 86579/7583673. ------ 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)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 86580/7583691. ------ 1. ==[ start ]==> ((a b)((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> ((a b)(^y.(a a))) 4. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 86581/7583700. ------ 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. ------ 86582/7583727. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 86583/7583736. ------ 1. ==[ start ]==> (((^a.a) b)((^b.b) b)) 2. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 3. ==[ beta ]==> (b ((^y.y) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 86584/7583781. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86585/7583808. ------ 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. ------ 86586/7583835. ------ 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))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 86587/7583862. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 86588/7583889. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)(a b))) REDUCED to normal form. ------ 86589/7583970. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(b a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 86590/7583997. ------ 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 (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a (^z1.(^x2.x2))))) 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. ------ 86591/7584060. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.a))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 86592/7584087. ------ 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.(^x2.x2)))) REDUCED to normal form. ------ 86593/7584114. ------ 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))) REDUCED to normal form. ------ 86594/7584177. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 86595/7584204. ------ 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. ------ 86596/7584222. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 86597/7584330. ------ 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. ------ 86598/7584357. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 86599/7584384. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b a)) REDUCED to normal form. ------ 86600/7584411. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 86601/7584438. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((b a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((b a) c)) REDUCED to normal form. ------ 86602/7584501. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 86603/7584528. ------ 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. ------ 86604/7584582. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 86605/7584672. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (a (^a.(^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. ------ 86606/7584708. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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. ------ 86607/7584726. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((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)) REDUCED to normal form. ------ 86608/7584735. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 86609/7584753. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 86610/7584789. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) d)) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 86611/7584807. ------ 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. ------ 86612/7584987. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^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. ------ 86613/7585014. ------ 1. ==[ start ]==> ((a ((a a) a))(a (^b.b))) 2. ==[ alpha ]==> ((a ((a a) a))(a (^x.x))) REDUCED to normal form. ------ 86614/7585140. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)(^b.(^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. ------ 86615/7585221. ------ 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. ------ 86616/7585302. ------ 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)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86617/7585329. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 86618/7585419. ------ 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.(z z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 86619/7585446. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 86620/7585500. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^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. ------ 86621/7585527. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> ((a (a b))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 86622/7585617. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (a (^z.(^x1.x1))))) IRREDUCIBLE: cycle. ------ 86623/7585680. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y)) c)) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 86624/7585698. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 86625/7585725. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a b)(a (a a)))) 3. ==[ beta ]==> ((a b)((a b)(a (a a)))) REDUCED to normal form. ------ 86626/7585752. ------ 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) 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. ------ 86627/7585806. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (a a))(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a b))) REDUCED to normal form. ------ 86628/7585887. ------ 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)(b a))) REDUCED to normal form. ------ 86629/7585986. ------ 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.y1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 86630/7586013. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 86631/7586067. ------ 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 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. ------ 86632/7586085. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)((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. ------ 86633/7586094. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(a b))) 3. ==[ beta ]==> (((a b)(a a))((a b)(a b))) REDUCED to normal form. ------ 86634/7586121. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 86635/7586427. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b ((a a)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b ((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((a a)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b ((a a)(^x1.x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b ((a a)(^z.z)))) 9. ==[ beta ]==> ((^y.y)(b ((a a)(^z.z)))) 10. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 11. ==[ beta ]==> (b ((a a)(^y.y))) 12. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 86636/7586490. ------ 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))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 86637/7586508. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 86638/7586517. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 86639/7586688. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(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. ------ 86640/7586733. ------ 1. ==[ start ]==> (((^a.b) c)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(((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. ------ 86641/7586742. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 86642/7586769. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 86643/7586796. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 86644/7586976. ------ 1. ==[ start ]==> (((a b) c)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b) c)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 86645/7587003. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 86646/7587030. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b) c)) REDUCED to normal form. ------ 86647/7587210. ------ 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)(^z.z)))) 4. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 86648/7587219. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 86649/7587246. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 86650/7587273. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 86651/7587417. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(a a)))) 7. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 8. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 9. ==[ beta ]==> (b (^y.(a a))) 10. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 86652/7587471. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(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 a)) REDUCED to normal form. ------ 86653/7587498. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 86654/7587552. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 86655/7587831. ------ 1. ==[ start ]==> (((^a.a)(b a))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(c ((a a) a))) 3. ==[ beta ]==> ((b a)(c ((a a) a))) REDUCED to normal form. ------ 86656/7587858. ------ 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. ------ 86657/7587894. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(a a)) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(a a)) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a)) a)) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 86658/7587912. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a b)(a a))) 3. ==[ beta ]==> (((a b)(a b))((a b)(a a))) REDUCED to normal form. ------ 86659/7587921. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.b) b)) 3. ==[ beta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 86660/7587993. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 86661/7588119. ------ 1. ==[ start ]==> (((a a)(b a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.b)(a a))) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 86662/7588173. ------ 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))((^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))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 86663/7588200. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 86664/7588227. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 86665/7588254. ------ 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.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. ------ 86666/7588281. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(a b))) 3. ==[ beta ]==> (((a b)(a (a a)))(a b)) REDUCED to normal form. ------ 86667/7588308. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(^z.z))) 5. ==[ beta ]==> (((a a) a)((^y.b)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(^y.y))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 86668/7588389. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 86669/7588479. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (a b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (a b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (a b))) 5. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 86670/7588560. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> (b ((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 86671/7588677. ------ 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. ------ 86672/7588704. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 86673/7588785. ------ 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. ------ 86674/7588812. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.a))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.a))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 86675/7588866. ------ 1. ==[ start ]==> (((a b)(^b.(^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. ------ 86676/7588965. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 86677/7588992. ------ 1. ==[ start ]==> ((a (^b.b))(a ((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(a ((a a) a))) REDUCED to normal form. ------ 86678/7589118. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b (^b.(^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. ------ 86679/7589172. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^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. ------ 86680/7589199. ------ 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. ------ 86681/7589226. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 86682/7589271. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)(^b.(^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. ------ 86683/7589280. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 86684/7589307. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^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. ------ 86685/7589478. ------ 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. ------ 86686/7589595. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 86687/7589622. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 86688/7589649. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 86689/7589676. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (a a)) a)) REDUCED to normal form. ------ 86690/7589784. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 86691/7589802. ------ 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. ------ 86692/7589811. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) b)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 86693/7589838. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(^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. ------ 86694/7589919. ------ 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 (^y1.y1))(^z1.(^x2.x2)))) REDUCED to normal form. ------ 86695/7589946. ------ 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))) REDUCED to normal form. ------ 86696/7589982. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.y))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 86697/7590009. ------ 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.(^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. ------ 86698/7590036. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a (b a))(^y.a)) 6. ==[ alpha ]==> ((a (b a))(^x.a)) REDUCED to normal form. ------ 86699/7590090. ------ 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 (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 86700/7590117. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.a))) REDUCED to normal form. ------ 86701/7590144. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 86702/7590171. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 86703/7590198. ------ 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. ------ 86704/7590252. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (^x1.x1))) REDUCED to normal form. ------ 86705/7590279. ------ 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. ------ 86706/7590306. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(a a))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a a)) REDUCED to normal form. ------ 86707/7590342. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 86708/7592658. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.(^z1.z1))))(^z.(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.(^z2.z2)))))) 5. ==[ beta ]==> (^x.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 86709/7594845. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 86710/7595736. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86711/7597140. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86712/7597197. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 86713/7597206. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((y y)(y y)))) REDUCED to normal form. ------ 86714/7597725. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a)(^y.b))) 3. ==[ beta ]==> ((((a a) a)(^y.b))((((a a) a)(^y.b))(((a a) a)(^y.b)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((((a a) a)(^y.b))(((a a) a)(^z.b)))) REDUCED to normal form. ------ 86715/7597872. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z) a))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 86716/7598205. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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 (^x.b)) REDUCED to normal form. ------ 86717/7598841. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 86718/7599114. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) IRREDUCIBLE: cycle. ------ 86719/7599393. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(b a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(b a))) REDUCED to normal form. ------ 86720/7599408. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.((a (^z.(^x1.(^y1.y1))))(a (^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (^x.((a (^y.(^z.(^x1.x1))))(a (^y1.(^z1.(^x2.x2)))))) REDUCED to normal form. ------ 86721/7599411. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 86722/7599615. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(^x1.(a a)))(((^z.z) a)(^x1.(a a))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(^z.(a a)))(((^x1.x1) a)(^y1.(a a))))) 5. ==[ beta ]==> ((((^y.y) a)(^z.(a a)))(((^x1.x1) a)(^y1.(a a)))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.(a a)))) 7. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(^x1.(a a)))) 8. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.(a a)))) 9. ==[ beta ]==> ((a (^x.(a a)))(a (^z.(a a)))) 10. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 86723/7599960. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(b x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(z z))) b) 4. ==[ beta ]==> (((^y.y)(^z.(z z))) b) 5. ==[ alpha ]==> (((^x.x)(^y.(y y))) b) 6. ==[ beta ]==> ((^y.(y y)) b) 7. ==[ alpha ]==> ((^x.(x x)) b) 8. ==[ beta ]==> (b b) REDUCED to normal form. ------ 86724/7600290. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b)(^b.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. ------ 86725/7600464. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 86726/7600707. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 86727/7600716. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 86728/7601046. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ eta ]==> (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. ------ 86729/7601391. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 86730/7601595. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 86731/7601598. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(x1 x1)))) REDUCED to normal form. ------ 86732/7601778. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.b))) REDUCED to normal form. ------ 86733/7601976. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.z))) 5. ==[ beta ]==> ((a a)(^z.(^x1.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 86734/7602165. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 86735/7602486. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86736/7602489. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 86737/7602801. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 86738/7603164. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.(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. ------ 86739/7603281. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(y (y y)))) REDUCED to normal form. ------ 86740/7603533. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.y)) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 86741/7603614. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.c)) REDUCED to normal form. ------ 86742/7603776. ------ 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. ------ 86743/7603800. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a)(^y.y))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 86744/7603839. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 86745/7603896. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 86746/7603923. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))(^b.b))) 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. ------ 86747/7603932. ------ 1. ==[ start ]==> (((a a) a)(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a) a)(b ((^x.x) b))) 3. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 86748/7603959. ------ 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. ------ 86749/7603986. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 86750/7603995. ------ 1. ==[ start ]==> (((a a)(a a))((^b.b) b)) 2. ==[ alpha ]==> (((a a)(a a))((^x.x) b)) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 86751/7604013. ------ 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))) REDUCED to normal form. ------ 86752/7604040. ------ 1. ==[ start ]==> (((a a) b)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((b a)((^x.x) a))) 3. ==[ beta ]==> (((a a) b)((b a) a)) REDUCED to normal form. ------ 86753/7604067. ------ 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. ------ 86754/7604094. ------ 1. ==[ start ]==> (((a 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((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. ------ 86755/7604121. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)((a a) a))) REDUCED to normal form. ------ 86756/7604175. ------ 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)(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. ------ 86757/7604256. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 86758/7604283. ------ 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))) 5. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 86759/7604328. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 86760/7604400. ------ 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) a)(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 86761/7604427. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 86762/7604454. ------ 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. ------ 86763/7604481. ------ 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. ------ 86764/7604517. ------ 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.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. ------ 86765/7604571. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(b a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(b a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 7. ==[ beta ]==> ((^y.a)(b a)) 8. ==[ alpha ]==> ((^x.a)(b a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 86766/7604598. ------ 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. ------ 86767/7604625. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 86768/7604679. ------ 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.(^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. ------ 86769/7604841. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))(^b.(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. ------ 86770/7604922. ------ 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))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 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. ------ 86771/7604931. ------ 1. ==[ start ]==> (((a (a a)) b)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 86772/7604958. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) 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))) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 86773/7604985. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 86774/7605012. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 86775/7605039. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 86776/7605066. ------ 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. ------ 86777/7605093. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a b)((^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. ------ 86778/7605300. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(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. ------ 86779/7605354. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 86780/7605462. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 86781/7605516. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.a)((a a)(^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.a)((a a)(^y.y)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 86782/7605597. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 86783/7605615. ------ 1. ==[ start ]==> (((a a)((a a) a))((b a) b)) REDUCED to normal form. ------ 86784/7605786. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 86785/7605867. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.(^y1.(^z1.z1))))) IRREDUCIBLE: cycle. ------ 86786/7605930. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 86787/7605957. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(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. ------ 86788/7605984. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)(a (a a)))) REDUCED to normal form. ------ 86789/7606038. ------ 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)(^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. ------ 86790/7606065. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))(a b))) REDUCED to normal form. ------ 86791/7606092. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 86792/7606119. ------ 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)(^x1.x1)))) REDUCED to normal form. ------ 86793/7606146. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(b a))) REDUCED to normal form. ------ 86794/7606164. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 86795/7606182. ------ 1. ==[ start ]==> (((a a)(a b))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((b a)(^x.x))) REDUCED to normal form. ------ 86796/7606209. ------ 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. ------ 86797/7606236. ------ 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.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.a))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 86798/7606263. ------ 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 x)))) REDUCED to normal form. ------ 86799/7606290. ------ 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.(^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. ------ 86800/7606344. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))((a (a a))(^x.b))) REDUCED to normal form. ------ 86801/7606371. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) 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. ------ 86802/7606380. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.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. ------ 86803/7606407. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^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. ------ 86804/7606542. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 86805/7606596. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.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. ------ 86806/7606623. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 86807/7606686. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 86808/7606713. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a (b a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (b a))) 5. ==[ beta ]==> ((^y.(y y))(a (b a))) 6. ==[ alpha ]==> ((^x.(x x))(a (b a))) 7. ==[ beta ]==> ((a (b a))(a (b a))) REDUCED to normal form. ------ 86809/7606740. ------ 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))) REDUCED to normal form. ------ 86810/7606767. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 86811/7606794. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a b) a)) REDUCED to normal form. ------ 86812/7606992. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 86813/7607019. ------ 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. ------ 86814/7607046. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(^y.a))) REDUCED to normal form. ------ 86815/7607082. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 86816/7607217. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 86817/7607298. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b)(^b.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. ------ 86818/7607415. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (a b))) 5. ==[ beta ]==> ((^y.(^z.z))(c (a b))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86819/7607442. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(b (a a))) REDUCED to normal form. ------ 86820/7607460. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 86821/7607469. ------ 1. ==[ start ]==> (((a b)(^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 86822/7607496. ------ 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. ------ 86823/7607523. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b)(a (^z.z)))) REDUCED to normal form. ------ 86824/7607721. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 86825/7607748. ------ 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.(^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. ------ 86826/7607775. ------ 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. ------ 86827/7607802. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a (b a))(^y.(y y))) 6. ==[ alpha ]==> ((a (b a))(^x.(x x))) REDUCED to normal form. ------ 86828/7607892. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^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. ------ 86829/7607973. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b)(^a.(^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. ------ 86830/7608081. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.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. ------ 86831/7608108. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^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. ------ 86832/7608144. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (a a))) REDUCED to normal form. ------ 86833/7608171. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a b)(a a))) REDUCED to normal form. ------ 86834/7608225. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^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. ------ 86835/7608252. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 86836/7608279. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.a))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 86837/7608306. ------ 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.x1))((a a) a))) REDUCED to normal form. ------ 86838/7608351. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(a a)))) REDUCED to normal form. ------ 86839/7608369. ------ 1. ==[ start ]==> (((a a)(b a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((a b)(^x.x))) REDUCED to normal form. ------ 86840/7608396. ------ 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) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 86841/7608423. ------ 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)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^z.a))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.a))) 9. ==[ beta ]==> ((a (a a))(^y.a)) 10. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 86842/7608450. ------ 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. ------ 86843/7608477. ------ 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.(^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. ------ 86844/7608531. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.b))) REDUCED to normal form. ------ 86845/7608558. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a b) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((a b) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a b) a)) 5. ==[ beta ]==> (((a a) a)((a b) a)) REDUCED to normal form. ------ 86846/7608585. ------ 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)) REDUCED to normal form. ------ 86847/7608648. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 86848/7608729. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((a a)((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 86849/7608918. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 86850/7608972. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^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. ------ 86851/7609026. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(a (a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(a (a a)))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 86852/7609107. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 86853/7609215. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 86854/7609224. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(b (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (^x1.x1))) REDUCED to normal form. ------ 86855/7609242. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (^x.x))(^z.a)) 4. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 86856/7609287. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^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. ------ 86857/7609422. ------ 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))(^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)(^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 86858/7609449. ------ 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. ------ 86859/7609476. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.a))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.a))) REDUCED to normal form. ------ 86860/7609530. ------ 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. ------ 86861/7609557. ------ 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 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. ------ 86862/7609566. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^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. ------ 86863/7609593. ------ 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))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(z1 z1))(^x2.(^y2.y2)))) 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. ------ 86864/7609728. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (d (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (d (^x.(^y.y)))) REDUCED to normal form. ------ 86865/7609836. ------ 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))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86866/7609872. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c c)) 2. ==[ alpha ]==> ((((^x.x) b) a)(c c)) 3. ==[ beta ]==> ((b a)(c c)) REDUCED to normal form. ------ 86867/7609890. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 86868/7609917. ------ 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. ------ 86869/7609971. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 86870/7610007. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b ((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))(b ((^z.z) a))) 6. ==[ alpha ]==> ((^x.(a a))(b ((^y.y) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86871/7610034. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (a (a a)))) REDUCED to normal form. ------ 86872/7610061. ------ 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. ------ 86873/7610088. ------ 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 (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 86874/7610115. ------ 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))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a a) a)) REDUCED to normal form. ------ 86875/7610160. ------ 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. ------ 86876/7610196. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b c)) 3. ==[ beta ]==> ((b (^y.y))(b c)) 4. ==[ alpha ]==> ((b (^x.x))(b c)) REDUCED to normal form. ------ 86877/7610232. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 86878/7610259. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1)) b)) REDUCED to normal form. ------ 86879/7610286. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a a) c)) 3. ==[ beta ]==> ((a (b a))((a a) c)) REDUCED to normal form. ------ 86880/7610313. ------ 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. ------ 86881/7610340. ------ 1. ==[ start ]==> ((((^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)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) b)) 7. ==[ beta ]==> ((a a)((^y.(^z.z)) b)) 8. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 86882/7610367. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a) c)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x) c)) 3. ==[ beta ]==> ((((a a) a)(a b)) c) REDUCED to normal form. ------ 86883/7610394. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 86884/7610421. ------ 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.(^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)(^y.y))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 86885/7610448. ------ 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. ------ 86886/7610502. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1)) 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. ------ 86887/7610529. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) 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. ------ 86888/7610556. ------ 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. ------ 86889/7610592. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 86890/7617453. ------ 1. ==[ start ]==> ((^a.b)(b ((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)(b ((^y.y) b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 86891/7617474. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 86892/7617534. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^z.(^x1.x1)))(a (^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 86893/7617723. ------ 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. ------ 86894/7617825. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 86895/7617894. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b a)(^z.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 86896/7618149. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 86897/7618218. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 86898/7618473. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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. ------ 86899/7618776. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^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))))) 4. ==[ alpha ]==> ((((a a)(a (^x.(^y.y))))((a a)(a (^z.(^x1.x1)))))((a a)(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 86900/7619094. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 86901/7619109. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 86902/7620498. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(^d.a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 86903/7620732. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 86904/7620741. ------ 1. ==[ start ]==> (((a b) c)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 86905/7620984. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 86906/7621659. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 86907/7622442. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.b))) REDUCED to normal form. ------ 86908/7622775. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.((z z) z))) REDUCED to normal form. ------ 86909/7623441. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(a (a a)))) REDUCED to normal form. ------ 86910/7623549. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 86911/7623828. ------ 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. ------ 86912/7623882. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 86913/7624017. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 86914/7624044. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) 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. ------ 86915/7624068. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b a)) 3. ==[ beta ]==> (((b a)(b a))((b a)(b a))) REDUCED to normal form. ------ 86916/7624107. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 86917/7624182. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(^a.(^a.(^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))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86918/7624209. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 86919/7624218. ------ 1. ==[ start ]==> ((a b)(b ((^a.a) b))) 2. ==[ alpha ]==> ((a b)(b ((^x.x) b))) 3. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 86920/7624272. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) b)(a a))) 3. ==[ beta ]==> (((a a)(a a))(b (a a))) REDUCED to normal form. ------ 86921/7624299. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 86922/7624434. ------ 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. ------ 86923/7624461. ------ 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 (^x.x))(a a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a a))) 7. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 86924/7624488. ------ 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. ------ 86925/7624533. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 86926/7624560. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (^y.y))) 3. ==[ beta ]==> ((a a)(b (^y.y))) 4. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 86927/7624587. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 86928/7624605. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 86929/7624614. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 86930/7624641. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 86931/7624659. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((b a)(^y.a))) REDUCED to normal form. ------ 86932/7624749. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)((a a) a))) 3. ==[ beta ]==> ((a a)((^y.b)((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.b)((a a) a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 86933/7624767. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.b))) 5. ==[ beta ]==> ((((a a) a)(^y.b))(((a a) a)(^y.b))) 6. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a) a)(^y.b))) REDUCED to normal form. ------ 86934/7624794. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 86935/7624830. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> ((a b)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a b)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 86936/7624857. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(b a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(b a))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 86937/7624875. ------ 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. ------ 86938/7624884. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 86939/7624902. ------ 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)(^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. ------ 86940/7624911. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 86941/7624938. ------ 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))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 86942/7624956. ------ 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 (^y.(^z.z))) b)) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 86943/7624965. ------ 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. ------ 86944/7624983. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a) c)) REDUCED to normal form. ------ 86945/7625073. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)(^z.a))) 3. ==[ beta ]==> ((b b)((^y.b)(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.b)(^y.a))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 86946/7625208. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 86947/7625235. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(^b.b))) 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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 86948/7625253. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^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. ------ 86949/7625280. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^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. ------ 86950/7625406. ------ 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. ------ 86951/7625433. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(a b))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(a b)) REDUCED to normal form. ------ 86952/7625460. ------ 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. ------ 86953/7625487. ------ 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. ------ 86954/7625514. ------ 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))) REDUCED to normal form. ------ 86955/7625541. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 86956/7625577. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.x2))) 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. ------ 86957/7625631. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a))(^b.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. ------ 86958/7625667. ------ 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. ------ 86959/7625694. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 86960/7625739. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.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. ------ 86961/7625748. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 86962/7625775. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.(x x)))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> ((a (^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 86963/7625802. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 86964/7625829. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 86965/7625856. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 86966/7625874. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 86967/7626045. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 86968/7626225. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 86969/7626612. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^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. ------ 86970/7626657. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 86971/7626684. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((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. ------ 86972/7626738. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 86973/7626828. ------ 1. ==[ start ]==> (((a b) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 86974/7626882. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 86975/7626909. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 86976/7626963. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^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. ------ 86977/7627035. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 86978/7627107. ------ 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)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 86979/7627134. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 8. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 86980/7627161. ------ 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. ------ 86981/7627188. ------ 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) 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. ------ 86982/7627215. ------ 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)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^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 (^x.x))(a a))) REDUCED to normal form. ------ 86983/7627242. ------ 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. ------ 86984/7627260. ------ 1. ==[ start ]==> (((^a.b) c)(a (^d.a))) 2. ==[ alpha ]==> (((^x.b) c)(a (^y.a))) 3. ==[ beta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 86985/7627359. ------ 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.(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. ------ 86986/7627494. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 86987/7627503. ------ 1. ==[ start ]==> (((a b) c)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> (((a b) c)((a a)(^y.y))) 4. ==[ alpha ]==> (((a b) c)((a a)(^x.x))) REDUCED to normal form. ------ 86988/7627530. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 86989/7627557. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(a a))(^a.(^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. ------ 86990/7627575. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b) c)) 3. ==[ beta ]==> (((a a)(^y.y))((a b) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((a b) c)) REDUCED to normal form. ------ 86991/7627611. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 86992/7627638. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 86993/7627692. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.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. ------ 86994/7627719. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^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. ------ 86995/7627746. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 86996/7627836. ------ 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. ------ 86997/7627863. ------ 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)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(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 (^x.x))(a a))((^z.z)(a (a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a (a a)))) 7. ==[ beta ]==> (((a (^x.x))(a a))(a (a a))) REDUCED to normal form. ------ 86998/7627890. ------ 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)(^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. ------ 86999/7627917. ------ 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. ------ 87000/7627944. ------ 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.y1))(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a b))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))(a b))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 9. ==[ beta ]==> ((a (^y.y))(a b)) 10. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 87001/7627971. ------ 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. ------ 87002/7628169. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> (b ((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 87003/7628250. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 87004/7628313. ------ 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)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 87005/7628421. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(^b.(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)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 87006/7628439. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(a a)) a)) 3. ==[ beta ]==> (((a b)(a b))((^y.(a a)) a)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(a a)) a)) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 87007/7628907. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))(^b.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. ------ 87008/7629087. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^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. ------ 87009/7629204. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.b))) REDUCED to normal form. ------ 87010/7629222. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 87011/7629249. ------ 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))(^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. ------ 87012/7629303. ------ 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.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(z z)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(y y)))) 9. ==[ beta ]==> (((a a)(a a))(a (^y.(y y)))) 10. ==[ alpha ]==> (((a a)(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 87013/7629312. ------ 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. ------ 87014/7629339. ------ 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))((^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. ------ 87015/7629384. ------ 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 (((a a) a) a)) REDUCED to normal form. ------ 87016/7629393. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 87017/7629420. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^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. ------ 87018/7629447. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 87019/7629501. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(^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. ------ 87020/7629537. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a ((a a) a))) REDUCED to normal form. ------ 87021/7629564. ------ 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 (^x.x))(b a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 87022/7629591. ------ 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. ------ 87023/7629618. ------ 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. ------ 87024/7629645. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^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)))) REDUCED to normal form. ------ 87025/7629672. ------ 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. ------ 87026/7629798. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 87027/7629843. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 87028/7629870. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((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. ------ 87029/7630005. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 87030/7630113. ------ 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. ------ 87031/7630122. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a a)(a a))) REDUCED to normal form. ------ 87032/7630149. ------ 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) REDUCED to normal form. ------ 87033/7630167. ------ 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))) REDUCED to normal form. ------ 87034/7630176. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 87035/7630194. ------ 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 y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(y1 y1)))) 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. ------ 87036/7630203. ------ 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. ------ 87037/7630248. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z) a) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z) a) b)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a b)) REDUCED to normal form. ------ 87038/7630284. ------ 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 a) REDUCED to normal form. ------ 87039/7630311. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.(z z))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 87040/7630329. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(y y)) a)) 3. ==[ beta ]==> (b ((^y.(y y)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 87041/7630338. ------ 1. ==[ start ]==> (((a b)(^c.a))(d (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(d (^y.y))) REDUCED to normal form. ------ 87042/7630365. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 87043/7630392. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (^z.a))) REDUCED to normal form. ------ 87044/7630437. ------ 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)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87045/7630446. ------ 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) REDUCED to normal form. ------ 87046/7630473. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(^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. ------ 87047/7630563. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(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. ------ 87048/7630590. ------ 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. ------ 87049/7630617. ------ 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))) REDUCED to normal form. ------ 87050/7630644. ------ 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. ------ 87051/7630671. ------ 1. ==[ start ]==> (((a b)((a a) a))(c a)) REDUCED to normal form. ------ 87052/7630698. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(b b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(b b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b b)) 5. ==[ beta ]==> (((a a)(^y.y))(b b)) 6. ==[ alpha ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 87053/7630779. ------ 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)))) REDUCED to normal form. ------ 87054/7630806. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a a)(a a))) 3. ==[ beta ]==> ((b (a a))((a a)(a a))) REDUCED to normal form. ------ 87055/7630833. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b a)) REDUCED to normal form. ------ 87056/7630869. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 87057/7631016. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 87058/7633203. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(b a))) 3. ==[ beta ]==> (^y.((^z.(b a))(^z.(b a)))) 4. ==[ alpha ]==> (^x.((^y.(b a))(^z.(b a)))) 5. ==[ beta ]==> (^x.(b a)) REDUCED to normal form. ------ 87059/7636596. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.((^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. ------ 87060/7637595. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.(^z2.z2)))(^x3.(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.(^z2.z2)))(^x3.(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87061/7637721. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.a)(^z.(^x1.(^y1.y1))))((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (a ((^y1.a)(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 87062/7637748. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 87063/7637784. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 87064/7637787. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((z z)(z z)))) REDUCED to normal form. ------ 87065/7637946. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)((a a) a))) 3. ==[ beta ]==> (^y.((a b)((a a) a))) 4. ==[ alpha ]==> (^x.((a b)((a a) a))) REDUCED to normal form. ------ 87066/7638288. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)((a a) a))) 3. ==[ beta ]==> (((^y.b)((a a) a))(((^y.b)((a a) a))((^y.b)((a a) a)))) 4. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.b)((a a) a))((^z.b)((a a) a)))) 5. ==[ beta ]==> (b (((^y.b)((a a) a))((^z.b)((a a) a)))) 6. ==[ alpha ]==> (b (((^x.b)((a a) a))((^y.b)((a a) a)))) 7. ==[ beta ]==> (b (b ((^y.b)((a a) a)))) 8. ==[ alpha ]==> (b (b ((^x.b)((a a) a)))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 87067/7638444. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 87068/7638786. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1) b))) 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 ]==> (^x.b) REDUCED to normal form. ------ 87069/7639071. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((b (^y.(^z.(^x1.x1))))(b (^y.(^z.(^x1.x1)))))(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((b (^x.(^y.(^z.z))))(b (^x1.(^y1.(^z1.z1)))))(b (^x2.(^y2.(^z2.z2))))) REDUCED to normal form. ------ 87070/7639584. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.b)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.b)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 87071/7639971. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(b a))) 3. ==[ beta ]==> (^y.(((a a)(b a))((a a)(b a)))) 4. ==[ alpha ]==> (^x.(((a a)(b a))((a a)(b a)))) REDUCED to normal form. ------ 87072/7639974. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(b a))) REDUCED to normal form. ------ 87073/7639992. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 87074/7640178. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))(a b))((^z.(z z))(a b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))(a b))((^z.(z z))(a b)))) 5. ==[ beta ]==> (((^y.(y y))(a b))((^z.(z z))(a b))) 6. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(a b))) 7. ==[ beta ]==> (((a b)(a b))((^y.(y y))(a b))) 8. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(a b))) 9. ==[ beta ]==> (((a b)(a b))((a b)(a b))) REDUCED to normal form. ------ 87075/7640853. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^z.(a a))(a (^x1.x1)))((^z.(a a))(a (^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(a a))(a (^y.y)))((^z.(a a))(a (^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (((a a)((^z.(a a))(a (^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> (((a a)((^x.(a a))(a (^y.y))))(^z.z)) 7. ==[ beta ]==> (((a a)(a a))(^z.z)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 87076/7641036. ------ 1. ==[ start ]==> (((a b) c)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 87077/7641531. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 87078/7641609. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)((^z.z) a))) 3. ==[ eta ]==> (b ((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 87079/7641972. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a b)(a b))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a b)(a b))(^x.(x x))) REDUCED to normal form. ------ 87080/7642158. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(a b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 87081/7642179. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 87082/7642368. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x)(a a))((^y.y) a)) a) 4. ==[ beta ]==> (((a a)((^y.y) a)) a) 5. ==[ alpha ]==> (((a a)((^x.x) a)) a) 6. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 87083/7642446. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))(^b.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. ------ 87084/7643049. ------ 1. ==[ start ]==> ((^a.(^b.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87085/7643070. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.a))) REDUCED to normal form. ------ 87086/7643232. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 87087/7643364. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 87088/7643367. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.((^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)(^x.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 87089/7643844. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.d)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.d)) REDUCED to normal form. ------ 87090/7643862. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(y (y y)))) 3. ==[ beta ]==> (b (^y.(y (y y)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 87091/7644042. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.((^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)(^x.a)) REDUCED to normal form. ------ 87092/7644123. ------ 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. ------ 87093/7644204. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 87094/7644258. ------ 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. ------ 87095/7644312. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 87096/7644363. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.(^z1.z1)))(a (^x2.(^y2.y2))))) REDUCED to normal form. ------ 87097/7644366. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 87098/7644402. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 87099/7644495. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 87100/7644522. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 87101/7644531. ------ 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))) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 87102/7644558. ------ 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. ------ 87103/7644567. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.x) 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. ------ 87104/7644594. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.b) 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. ------ 87105/7644612. ------ 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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87106/7644621. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z))) c)) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 87107/7644639. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((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. ------ 87108/7644666. ------ 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. ------ 87109/7644693. ------ 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.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. ------ 87110/7644720. ------ 1. ==[ start ]==> ((a (^b.a))((a b)((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))((a b)((a a) a))) REDUCED to normal form. ------ 87111/7644801. ------ 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. ------ 87112/7644828. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(b a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 87113/7644882. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a a)((^a.a) 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. ------ 87114/7644918. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^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. ------ 87115/7644945. ------ 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.(^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. ------ 87116/7645035. ------ 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. ------ 87117/7645053. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 87118/7645062. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)((a a) a))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 87119/7645134. ------ 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. ------ 87120/7645188. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 87121/7645215. ------ 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. ------ 87122/7645242. ------ 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. ------ 87123/7645269. ------ 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. ------ 87124/7645359. ------ 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. ------ 87125/7645386. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 87126/7645557. ------ 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 ]==> (((^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. ------ 87127/7645566. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 87128/7645584. ------ 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)))(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)) REDUCED to normal form. ------ 87129/7645593. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.(^y1.y1))) b)) 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. ------ 87130/7645638. ------ 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)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 87131/7645845. ------ 1. ==[ start ]==> ((a ((a a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 87132/7645971. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (b (((^y.y)(a a))(^z.(z z)))) 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. ------ 87133/7645998. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 87134/7646052. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.b)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 87135/7646079. ------ 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. ------ 87136/7646106. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 87137/7646160. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 87138/7646196. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.(^z.z)))(^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. ------ 87139/7646277. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 87140/7646304. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 87141/7646358. ------ 1. ==[ start ]==> ((a (a b))((^b.(^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. ------ 87142/7646448. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (b a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (b a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (b a))) IRREDUCIBLE: cycle. ------ 87143/7646529. ------ 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 (((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 87144/7646538. ------ 1. ==[ start ]==> (((a b) a)((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 87145/7646556. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^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))) 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. ------ 87146/7646583. ------ 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)((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. ------ 87147/7646637. ------ 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)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)((a a) a))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((a a) a))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((a a) a)) REDUCED to normal form. ------ 87148/7646718. ------ 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 ((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 87149/7646745. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(b a))) REDUCED to normal form. ------ 87150/7646763. ------ 1. ==[ start ]==> (((a a)(a b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 87151/7646844. ------ 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) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 87152/7646871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)(a (a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)(a (a a)))) 7. ==[ beta ]==> (a ((^y.b)(a (a a)))) 8. ==[ alpha ]==> (a ((^x.b)(a (a a)))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 87153/7646916. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 87154/7646925. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^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. ------ 87155/7646952. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(a b))) 5. ==[ beta ]==> ((a (a a))((a b)(a b))) REDUCED to normal form. ------ 87156/7647339. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((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. ------ 87157/7647348. ------ 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)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 87158/7647375. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(a a)) c)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a)) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) c)) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 87159/7647546. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(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. ------ 87160/7647627. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 87161/7647807. ------ 1. ==[ start ]==> (((a b) c)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 87162/7647834. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 87163/7647861. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a) b)) REDUCED to normal form. ------ 87164/7648041. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 87165/7648104. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 87166/7648275. ------ 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. ------ 87167/7648302. ------ 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. ------ 87168/7648329. ------ 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))(a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(a a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 87169/7648356. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 87170/7648383. ------ 1. ==[ start ]==> ((a (b a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 87171/7648743. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a b))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b)(a b))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a b)(a b))(a (a a))) REDUCED to normal form. ------ 87172/7648752. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 87173/7648806. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 87174/7648824. ------ 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) 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. ------ 87175/7648932. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(a b))) REDUCED to normal form. ------ 87176/7648950. ------ 1. ==[ start ]==> (((a a)(b a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(a (^x.(a a)))) REDUCED to normal form. ------ 87177/7648977. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 87178/7649031. ------ 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. ------ 87179/7649058. ------ 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 z))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (a a)))) 7. ==[ beta ]==> (((a a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 87180/7649085. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 87181/7649112. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^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. ------ 87182/7649139. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(a b))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(a b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(a b))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a b))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a b))) 7. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 87183/7649166. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 87184/7649220. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))(^b.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. ------ 87185/7649310. ------ 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. ------ 87186/7649391. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(a (^z1.z1)))) 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. ------ 87187/7649499. ------ 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) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87188/7649535. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 87189/7649616. ------ 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. ------ 87190/7649643. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))(^b.(^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. ------ 87191/7649697. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 87192/7649724. ------ 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)(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z) b)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) b)) 7. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 87193/7649751. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a)) c)) REDUCED to normal form. ------ 87194/7649823. ------ 1. ==[ start ]==> ((a (^b.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 87195/7649949. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a b))(c (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a b))(c (^y.(y y)))) 5. ==[ beta ]==> ((a b)(c (^y.(y y)))) 6. ==[ alpha ]==> ((a b)(c (^x.(x x)))) REDUCED to normal form. ------ 87196/7649976. ------ 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. ------ 87197/7650003. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a (^z.a))) 3. ==[ beta ]==> (((a b)(^y.y))(a (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 87198/7650030. ------ 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. ------ 87199/7650057. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 87200/7650102. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 87201/7650111. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(a (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. ------ 87202/7650138. ------ 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 b)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.x)((^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. ------ 87203/7650309. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 87204/7650426. ------ 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. ------ 87205/7650453. ------ 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. ------ 87206/7650471. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c c)) 3. ==[ beta ]==> (((^y.y) b)(c c)) 4. ==[ alpha ]==> (((^x.x) b)(c c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 87207/7650480. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 87208/7650507. ------ 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 y1)))) REDUCED to normal form. ------ 87209/7650588. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z)) c)) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z)) c)) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y)) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 87210/7650633. ------ 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)))) REDUCED to normal form. ------ 87211/7650642. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y)) a)) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 87212/7650669. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 87213/7650750. ------ 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)(^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. ------ 87214/7650777. ------ 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)))) REDUCED to normal form. ------ 87215/7650813. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a) b)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)((^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. ------ 87216/7650840. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 87217/7650867. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(^a.a))(^a.(^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. ------ 87218/7650894. ------ 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. ------ 87219/7650948. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 87220/7650975. ------ 1. ==[ start ]==> (((a b)((a a) a))(a (^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(a (^x.a))) REDUCED to normal form. ------ 87221/7651002. ------ 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))(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))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 87222/7651029. ------ 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. ------ 87223/7651083. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 87224/7651110. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b (^y.y))) 3. ==[ beta ]==> ((b (a a))(b (^y.y))) 4. ==[ alpha ]==> ((b (a a))(b (^x.x))) REDUCED to normal form. ------ 87225/7651137. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 87226/7651173. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 87227/7651329. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 87228/7652949. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 87229/7656909. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.(^b.(^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. ------ 87230/7657908. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.y)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^y.y)(^y.y))) 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. ------ 87231/7658109. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 87232/7658118. ------ 1. ==[ start ]==> (((^a.a) b)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 87233/7658151. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((^z.z) b)(^y.y)) 4. ==[ alpha ]==> (((^x.x) b)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 87234/7658442. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.a))(^y.b)) REDUCED to normal form. ------ 87235/7658511. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 87236/7658610. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)(^y.a))) 3. ==[ beta ]==> (((a b)(^y.a))(((a b)(^y.a))((a b)(^y.a)))) 4. ==[ alpha ]==> (((a b)(^x.a))(((a b)(^y.a))((a b)(^z.a)))) REDUCED to normal form. ------ 87237/7658835. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.(^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. ------ 87238/7659108. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(^b.b))) 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. ------ 87239/7659117. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 87240/7659432. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 87241/7659726. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 87242/7659729. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 87243/7660500. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))(^z.b))) 3. ==[ beta ]==> ((^y.y)(((a (a a))(^z.b))((a (a a))(^z.b)))) 4. ==[ alpha ]==> ((^x.x)(((a (a a))(^y.b))((a (a a))(^z.b)))) 5. ==[ beta ]==> (((a (a a))(^y.b))((a (a a))(^z.b))) 6. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))(^y.b))) REDUCED to normal form. ------ 87244/7660593. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(x1 a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 a))) 5. ==[ beta ]==> ((^y.y)(^y1.(y1 a))) 6. ==[ alpha ]==> ((^x.x)(^y.(y a))) 7. ==[ beta ]==> (^y.(y a)) 8. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 87245/7660872. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(b y))) 3. ==[ eta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 87246/7661115. ------ 1. ==[ start ]==> (((^a.b) c)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(^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. ------ 87247/7661175. ------ 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))(^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. ------ 87248/7661628. ------ 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 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. ------ 87249/7661931. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a)(^b.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. ------ 87250/7662294. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(a a)))) REDUCED to normal form. ------ 87251/7662303. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^y.(y y))) REDUCED to normal form. ------ 87252/7662480. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (^y1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 87253/7663077. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 87254/7663239. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 87255/7663371. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))(^b.(^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. ------ 87256/7663686. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)(^b.(^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. ------ 87257/7663689. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.(^b.(^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. ------ 87258/7663698. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.((^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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 87259/7663968. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.(^b.(^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. ------ 87260/7664184. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 87261/7664193. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(y (y y)))) REDUCED to normal form. ------ 87262/7664292. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87263/7664364. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.a))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 87264/7664526. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.c)) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.c)) REDUCED to normal form. ------ 87265/7664685. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.y) b)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(((^y.y) b)((^y.y) b))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(((^z.z) b)((^x1.x1) b))) 5. ==[ beta ]==> ((b ((^y.y) b))(((^z.z) b)((^x1.x1) b))) 6. ==[ alpha ]==> ((b ((^x.x) b))(((^y.y) b)((^z.z) b))) 7. ==[ beta ]==> ((b b)(((^y.y) b)((^z.z) b))) 8. ==[ alpha ]==> ((b b)(((^x.x) 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. ------ 87266/7664688. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.b)) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 87267/7664724. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 87268/7664835. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 87269/7664862. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.a))(^b.b))) 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 87270/7664871. ------ 1. ==[ start ]==> (((a a)(^a.a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 87271/7664898. ------ 1. ==[ start ]==> (((^a.a) b)(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(a ((a a)(a a)))) 3. ==[ beta ]==> (b (a ((a a)(a a)))) REDUCED to normal form. ------ 87272/7664925. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 87273/7664934. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) b)) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 87274/7664952. ------ 1. ==[ start ]==> (((a a) b)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 87275/7664979. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((b a) a)) REDUCED to normal form. ------ 87276/7665006. ------ 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. ------ 87277/7665033. ------ 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))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 87278/7665087. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 87279/7665168. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (b a))) REDUCED to normal form. ------ 87280/7665195. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 87281/7665213. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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. ------ 87282/7665222. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.a))((a a) b)) REDUCED to normal form. ------ 87283/7665294. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 87284/7665312. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 87285/7665339. ------ 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))(^x1.(x1 x1)))) REDUCED to normal form. ------ 87286/7665366. ------ 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. ------ 87287/7665393. ------ 1. ==[ start ]==> ((a (a (a a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (a (a a)))((a b)(^x.a))) REDUCED to normal form. ------ 87288/7665402. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)((a a) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)((a a) a))) 5. ==[ beta ]==> (((^y.b)((a a) a))((^y.b)((a a) a))) 6. ==[ alpha ]==> (((^x.b)((a a) a))((^y.b)((a a) a))) 7. ==[ beta ]==> (b ((^y.b)((a a) a))) 8. ==[ alpha ]==> (b ((^x.b)((a a) a))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 87289/7665429. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 87290/7665483. ------ 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 ]==> (((^y.y)(^y.y))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((a a)(^x1.x1)))) 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. ------ 87291/7665510. ------ 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. ------ 87292/7665537. ------ 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 (^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. ------ 87293/7665591. ------ 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))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 87294/7665618. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.(^a.a)))(^a.(^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. ------ 87295/7665636. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a) c)) REDUCED to normal form. ------ 87296/7665753. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 87297/7665780. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^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. ------ 87298/7665843. ------ 1. ==[ start ]==> (((a (a a)) b)(c (b a))) REDUCED to normal form. ------ 87299/7665870. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (a (^a.(^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. ------ 87300/7665888. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)(^b.b))) 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)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87301/7665897. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 87302/7665924. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 87303/7665951. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.a))((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))((b a)(a (^y.y)))) REDUCED to normal form. ------ 87304/7665978. ------ 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.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 87305/7666005. ------ 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. ------ 87306/7666212. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.y1))) 3. ==[ beta ]==> ((^y.y)(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 87307/7666347. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 87308/7666428. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(a a)))) 9. ==[ beta ]==> ((a a)(((^y.y)(a a))((^y.y)(a a)))) 10. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(a a)))) 11. ==[ beta ]==> ((a a)((a a)((^y.y)(a a)))) 12. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 13. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 87309/7666509. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 87310/7666527. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 87311/7666554. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((b a) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((b a) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a) b)) REDUCED to normal form. ------ 87312/7666698. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 87313/7666842. ------ 1. ==[ start ]==> ((((a a) a) b)((b a)(a a))) REDUCED to normal form. ------ 87314/7666869. ------ 1. ==[ start ]==> (((a b) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 87315/7666896. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.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. ------ 87316/7666950. ------ 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)(^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. ------ 87317/7666977. ------ 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)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 87318/7667004. ------ 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. ------ 87319/7667031. ------ 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.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. ------ 87320/7667049. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 87321/7667058. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 87322/7667121. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((b a)(^y.y))) REDUCED to normal form. ------ 87323/7667148. ------ 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))(^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. ------ 87324/7667175. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(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. ------ 87325/7667202. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) a)((a b)(^z.(z z)))) 6. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(y y)))) 7. ==[ beta ]==> (a ((a b)(^y.(y y)))) 8. ==[ alpha ]==> (a ((a b)(^x.(x x)))) REDUCED to normal form. ------ 87326/7667229. ------ 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.(^z.z)))) REDUCED to normal form. ------ 87327/7667256. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^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. ------ 87328/7667283. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 87329/7667292. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 87330/7667319. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.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. ------ 87331/7667373. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(b a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(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. ------ 87332/7667454. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 87333/7667535. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 87334/7667589. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(a a)))) 9. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 11. ==[ beta ]==> ((^y.a)(^z.(a a))) 12. ==[ alpha ]==> ((^x.a)(^y.(a a))) 13. ==[ beta ]==> a REDUCED to normal form. ------ 87335/7667598. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 87336/7667625. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b ((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.(y y))(b ((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.(x x))(b ((a a)(^y.y)))) 7. ==[ beta ]==> ((b ((a a)(^y.y)))(b ((a a)(^y.y)))) 8. ==[ alpha ]==> ((b ((a a)(^x.x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 87337/7667652. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a (b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a (b a))) REDUCED to normal form. ------ 87338/7667679. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 87339/7667706. ------ 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. ------ 87340/7667895. ------ 1. ==[ start ]==> (((^a.b) c)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 87341/7667931. ------ 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))(^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))) REDUCED to normal form. ------ 87342/7667958. ------ 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. ------ 87343/7667994. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1) 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. ------ 87344/7668129. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 87345/7668210. ------ 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))(^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. ------ 87346/7668237. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.b)(^b.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. ------ 87347/7668291. ------ 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.(^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. ------ 87348/7668372. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^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. ------ 87349/7668381. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 87350/7668408. ------ 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. ------ 87351/7668435. ------ 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))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 87352/7668471. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.b) c)) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 87353/7668660. ------ 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. ------ 87354/7668687. ------ 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. ------ 87355/7668714. ------ 1. ==[ start ]==> ((a (b a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a (b a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 87356/7668804. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.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. ------ 87357/7668885. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 87358/7668993. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 87359/7669020. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 87360/7669056. ------ 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. ------ 87361/7669074. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a b)(a b))(^y.(a a))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(a a))) REDUCED to normal form. ------ 87362/7669083. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (a a))) REDUCED to normal form. ------ 87363/7669137. ------ 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)(a (^z.z)))) REDUCED to normal form. ------ 87364/7669164. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z) a)) 6. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y) a)) 7. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 87365/7669191. ------ 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 (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 87366/7669218. ------ 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)(^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. ------ 87367/7669263. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.b))) REDUCED to normal form. ------ 87368/7669308. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 87369/7669335. ------ 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. ------ 87370/7669362. ------ 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. ------ 87371/7669389. ------ 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.(z z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a 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. ------ 87372/7669416. ------ 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.(^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. ------ 87373/7669443. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 87374/7669470. ------ 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))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.b))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.b))) REDUCED to normal form. ------ 87375/7669497. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a b) a)) REDUCED to normal form. ------ 87376/7669560. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(^a.a))(^b.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. ------ 87377/7669641. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^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. ------ 87378/7669830. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 87379/7669839. ------ 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. ------ 87380/7669857. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (^x1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 87381/7669884. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 87382/7669938. ------ 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.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y) a))) 9. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^y.y) a))) 10. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y) a))) 11. ==[ beta ]==> (((a a)(a a))(a ((^y.y) a))) 12. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) a))) 13. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 87383/7670019. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 87384/7670127. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^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. ------ 87385/7670154. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))(^b.(^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. ------ 87386/7670199. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a) a)) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 87387/7670226. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(^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)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 87388/7670361. ------ 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. ------ 87389/7670388. ------ 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)(^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. ------ 87390/7670433. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c d)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c d)) 3. ==[ beta ]==> ((^y.(^z.z))(c d)) 4. ==[ alpha ]==> ((^x.(^y.y))(c d)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87391/7670442. ------ 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)))) REDUCED to normal form. ------ 87392/7670469. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)(^b.(^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. ------ 87393/7670478. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)((^a.a)(^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)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87394/7670505. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.y2))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.y2))) 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. ------ 87395/7670748. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a (^b.(^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. ------ 87396/7670802. ------ 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) REDUCED to normal form. ------ 87397/7670811. ------ 1. ==[ start ]==> (((a a)(^b.b))(c c)) 2. ==[ alpha ]==> (((a a)(^x.x))(c c)) REDUCED to normal form. ------ 87398/7670829. ------ 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.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2) 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. ------ 87399/7670883. ------ 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))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.x1))) 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. ------ 87400/7670919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(c (a (^z.z)))) 6. ==[ alpha ]==> ((^x.(a a))(c (a (^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 87401/7670946. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(b a)) REDUCED to normal form. ------ 87402/7670964. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^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. ------ 87403/7670973. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (a (a a)))) REDUCED to normal form. ------ 87404/7671000. ------ 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. ------ 87405/7671027. ------ 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 (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 87406/7671072. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87407/7671108. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(c b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(c b)) 3. ==[ beta ]==> ((b (^y.y))(c b)) 4. ==[ alpha ]==> ((b (^x.x))(c b)) REDUCED to normal form. ------ 87408/7671144. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((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. ------ 87409/7671171. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 87410/7671198. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(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. ------ 87411/7671252. ------ 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)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 87412/7671279. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^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. ------ 87413/7671306. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a) c)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x) c)) 3. ==[ beta ]==> (((a b)((a a) a)) c) REDUCED to normal form. ------ 87414/7671333. ------ 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))(^y1.y1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 87415/7671360. ------ 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. ------ 87416/7671414. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a) b)) REDUCED to normal form. ------ 87417/7671441. ------ 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)) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 87418/7671468. ------ 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. ------ 87419/7671504. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 87420/7673289. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 87421/7678419. ------ 1. ==[ start ]==> ((^a.b)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(c (a (^y.(^z.z))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 87422/7678467. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 87423/7678476. ------ 1. ==[ start ]==> (((a a)(a a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((x x)(x x)))) REDUCED to normal form. ------ 87424/7678500. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((((^z.z) b)(a a))(^y.y)) 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. ------ 87425/7678689. ------ 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.y1)(a a)))) 3. ==[ eta ]==> ((^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. ------ 87426/7678860. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 87427/7679142. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(^z.z)))(^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)) REDUCED to normal form. ------ 87428/7679184. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 87429/7679466. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 87430/7679742. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))(b a))) 3. ==[ beta ]==> ((((a (^y.y))(b a))((a (^y.y))(b a)))((a (^y.y))(b a))) 4. ==[ alpha ]==> ((((a (^x.x))(b a))((a (^y.y))(b a)))((a (^z.z))(b a))) REDUCED to normal form. ------ 87431/7680075. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 87432/7680078. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 87433/7680663. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(b a))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(b a))) REDUCED to normal form. ------ 87434/7680942. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.a))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 7. ==[ beta ]==> (^y.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 87435/7681464. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 87436/7681473. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 87437/7681734. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 87438/7681977. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 87439/7682202. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 87440/7682652. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 87441/7682850. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(a b))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(a b))) REDUCED to normal form. ------ 87442/7683435. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.b))) REDUCED to normal form. ------ 87443/7683588. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(^c.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. ------ 87444/7683597. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 87445/7683768. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((y y) y))) REDUCED to normal form. ------ 87446/7683903. ------ 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))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 87447/7684047. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.(^b.(^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. ------ 87448/7684326. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 87449/7684533. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.d)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.d)) 3. ==[ beta ]==> (b (^y.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 87450/7684542. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 87451/7684650. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) REDUCED to normal form. ------ 87452/7684821. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((^z.z)(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. ------ 87453/7684875. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 87454/7685010. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(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. ------ 87455/7685034. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a)(a a))) 3. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 87456/7685073. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 87457/7685202. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 87458/7685211. ------ 1. ==[ start ]==> ((a b)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(c (a (^x.(^y.y))))) REDUCED to normal form. ------ 87459/7685229. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a))(^b.b))) 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. ------ 87460/7685256. ------ 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 (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 87461/7685265. ------ 1. ==[ start ]==> (((a a)(a a))(a ((a a)(a a)))) REDUCED to normal form. ------ 87462/7685292. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a (a (^x.x)))(b (a a))) REDUCED to normal form. ------ 87463/7685301. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> ((^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. ------ 87464/7685427. ------ 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. ------ 87465/7685454. ------ 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. ------ 87466/7685481. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)((^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. ------ 87467/7685580. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 87468/7685634. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^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. ------ 87469/7685652. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 87470/7685742. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)(a a)) REDUCED to normal form. ------ 87471/7685760. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.(y y))((a b)(^z.a))) 4. ==[ alpha ]==> ((^x.(x x))((a b)(^y.a))) 5. ==[ beta ]==> (((a b)(^y.a))((a b)(^y.a))) 6. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 87472/7685787. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 87473/7685823. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 87474/7685850. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 87475/7685877. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(b a))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 87476/7685895. ------ 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))(^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. ------ 87477/7685904. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 87478/7685931. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) b)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 7. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 87479/7685949. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(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. ------ 87480/7685958. ------ 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. ------ 87481/7685976. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 87482/7686066. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))(^b.(^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. ------ 87483/7686228. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^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. ------ 87484/7686255. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 87485/7686273. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 87486/7686399. ------ 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)(^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. ------ 87487/7686426. ------ 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. ------ 87488/7686453. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a ((^x.x) 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)((^y.y)(a b))) 8. ==[ alpha ]==> ((a a)((^x.x)(a b))) 9. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 87489/7686480. ------ 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. ------ 87490/7686507. ------ 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)))) 7. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 8. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 87491/7686534. ------ 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. ------ 87492/7686624. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((b a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 87493/7686660. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 87494/7686687. ------ 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. ------ 87495/7686705. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a 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. ------ 87496/7686741. ------ 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) REDUCED to normal form. ------ 87497/7686768. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 87498/7686786. ------ 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. ------ 87499/7686795. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.a))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (a a))(^x.a))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a (a a))(^x.a))((a a)(a a))) REDUCED to normal form. ------ 87500/7686822. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87501/7686849. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^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. ------ 87502/7686867. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 87503/7687038. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 87504/7687245. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 87505/7687416. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 87506/7687452. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(b a))) REDUCED to normal form. ------ 87507/7687605. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 87508/7687650. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(^z.b))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))(^y.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 87509/7687677. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(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. ------ 87510/7687812. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 87511/7687821. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 87512/7687848. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 87513/7687875. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 87514/7687902. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 87515/7687956. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 87516/7688100. ------ 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)(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. ------ 87517/7688127. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 87518/7688154. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^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))((^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. ------ 87519/7688181. ------ 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 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. ------ 87520/7688208. ------ 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) a)(a b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(a b))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a b))) 7. ==[ beta ]==> ((a (a a))(a (a b))) REDUCED to normal form. ------ 87521/7688235. ------ 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 (^x.x))(a a))) REDUCED to normal form. ------ 87522/7688253. ------ 1. ==[ start ]==> (((^a.b) c)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 87523/7688262. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 87524/7688352. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b)(^b.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. ------ 87525/7688487. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 87526/7688496. ------ 1. ==[ start ]==> (((a b) c)((^a.(^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. ------ 87527/7688523. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 87528/7688568. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 87529/7688595. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a 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. ------ 87530/7688604. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b)(^b.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. ------ 87531/7688631. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 87532/7688685. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87533/7688712. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 87534/7688739. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 87535/7688829. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 87536/7688856. ------ 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.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a) a)) REDUCED to normal form. ------ 87537/7688883. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 87538/7688910. ------ 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)(^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. ------ 87539/7688937. ------ 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 a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((a a) a))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a) a))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 9. ==[ beta ]==> (((^y.y) a)((a a) a)) 10. ==[ alpha ]==> (((^x.x) a)((a a) a)) 11. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 87540/7688964. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x))(a b))) REDUCED to normal form. ------ 87541/7688991. ------ 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)))) 5. ==[ beta ]==> (((a b) a)((a a)(a a))) REDUCED to normal form. ------ 87542/7689162. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (b (((^z.z) a)(^x1.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. ------ 87543/7689243. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^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. ------ 87544/7689306. ------ 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)(^x.x)) b) a) REDUCED to normal form. ------ 87545/7689414. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^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. ------ 87546/7689441. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(a a))) REDUCED to normal form. ------ 87547/7689513. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 87548/7689639. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(a b))) REDUCED to normal form. ------ 87549/7690080. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.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. ------ 87550/7690197. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.a))) REDUCED to normal form. ------ 87551/7690224. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.b))) REDUCED to normal form. ------ 87552/7690242. ------ 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)(((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. ------ 87553/7690296. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (a a))(^z.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (a a))(^z.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(^y.a))) 7. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.a))) 8. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.a))) REDUCED to normal form. ------ 87554/7690305. ------ 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. ------ 87555/7690332. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.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. ------ 87556/7690377. ------ 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 ((a a)(^x1.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 87557/7690386. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 87558/7690440. ------ 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))(^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. ------ 87559/7690494. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 87560/7690530. ------ 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)))) 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. ------ 87561/7690557. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a ((a a) a))) REDUCED to normal form. ------ 87562/7690584. ------ 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)(^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. ------ 87563/7690611. ------ 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. ------ 87564/7690638. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a b)(((^y.y) a)((^z.z) a))) 6. ==[ alpha ]==> ((a b)(((^x.x) 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. ------ 87565/7690665. ------ 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. ------ 87566/7690692. ------ 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)))) 5. ==[ beta ]==> (((a b)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 87567/7690791. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 87568/7690836. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a)(^b.(^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. ------ 87569/7690863. ------ 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)(^x2.x2)) a)) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(^x2.x2)) 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. ------ 87570/7690998. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^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. ------ 87571/7691115. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 87572/7691142. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y))(a a))) 3. ==[ beta ]==> ((b a)((^y.(y y))(a a))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(a a))) 5. ==[ beta ]==> ((b a)((a a)(a a))) REDUCED to normal form. ------ 87573/7691160. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 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. ------ 87574/7691169. ------ 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) REDUCED to normal form. ------ 87575/7691187. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.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. ------ 87576/7691196. ------ 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.(^z1.z1))((^x2.x2) 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. ------ 87577/7691241. ------ 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)(^y.y))((a a)(^y.y)))((a (a a)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 87578/7691277. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 87579/7691304. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^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. ------ 87580/7691331. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.(z z))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 87581/7691439. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.(y1 y1)))) REDUCED to normal form. ------ 87582/7691466. ------ 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) REDUCED to normal form. ------ 87583/7691502. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b c)) 3. ==[ beta ]==> (((a a) b)(b c)) REDUCED to normal form. ------ 87584/7691556. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c (a a))) 3. ==[ beta ]==> ((a (b a))(c (a a))) REDUCED to normal form. ------ 87585/7691583. ------ 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. ------ 87586/7691610. ------ 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 ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a ((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))(a ((^z.z) a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a ((^y.y) a))) 7. ==[ beta ]==> ((a a)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 87587/7691637. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))(a a))) REDUCED to normal form. ------ 87588/7691664. ------ 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. ------ 87589/7691718. ------ 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. ------ 87590/7691772. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (a a))) REDUCED to normal form. ------ 87591/7691799. ------ 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. ------ 87592/7691826. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 87593/7691862. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 87594/7691942. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 87595/7691943. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 87596/7698741. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^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. ------ 87597/7698795. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 87598/7698831. ------ 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. ------ 87599/7698852. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 87600/7698993. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^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 ]==> (^x.((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (^x.((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (^x.((a a)(^z.z))) 8. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 87601/7699335. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))((^z.z)(^x1.x1)))(((^y.(a a))((^z.z)(^x1.x1)))((^y.(a a))((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(a a))((^y.y)(^z.z)))(((^x1.(a a))((^y1.y1)(^z1.z1)))((^x2.(a a))((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> ((a a)(((^x1.(a a))((^y1.y1)(^z1.z1)))((^x2.(a a))((^y2.y2)(^z2.z2))))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1))))) 7. ==[ beta ]==> ((a a)((a a)((^x1.(a a))((^y1.y1)(^z1.z1))))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a))((^y.y)(^z.z))))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 87602/7699686. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^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. ------ 87603/7699860. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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 ]==> (^x.b) REDUCED to normal form. ------ 87604/7700157. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(a (^a.(^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)))) REDUCED to normal form. ------ 87605/7700472. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 87606/7700631. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((^y.a)(^z.a)) b) 4. ==[ alpha ]==> (((^x.a)(^y.a)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 87607/7701018. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a (^z.z))((a a)(^x1.x1)))((a (^z.z))((a a)(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((a (^y.y))((a a)(^z.z)))((a (^x1.x1))((a a)(^y1.y1))))) REDUCED to normal form. ------ 87608/7701066. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 87609/7701225. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))((a a) a))((^z.(^x1.x1))((a a) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((a a) a))((^x1.(^y1.y1))((a a) a)))) 5. ==[ beta ]==> (((^y.(^z.z))((a a) a))((^x1.(^y1.y1))((a a) a))) 6. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 9. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 10. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87610/7701615. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(b z))) 3. ==[ eta ]==> (((^x.b)(a (^y.y))) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 87611/7702110. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 87612/7702656. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.b)(a (^z.z)))) 3. ==[ eta ]==> (b ((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 87613/7703205. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 87614/7703253. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 87615/7703442. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(a z))) 3. ==[ eta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 87616/7703973. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 87617/7704096. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87618/7704144. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.a))) REDUCED to normal form. ------ 87619/7704411. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 87620/7704585. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.((^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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 87621/7704918. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.d)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.d)) REDUCED to normal form. ------ 87622/7705116. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 87623/7705197. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.a))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.a))) 7. ==[ beta ]==> ((a a)(^y.(^z.a))) 8. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 87624/7705278. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 87625/7705386. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.(^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. ------ 87626/7705410. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b (^y.y))) 3. ==[ beta ]==> (((b (^y.y))(b (^y.y)))((b (^y.y))(b (^y.y)))) 4. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))((b (^z.z))(b (^x1.x1)))) REDUCED to normal form. ------ 87627/7705542. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 87628/7705596. ------ 1. ==[ start ]==> ((a b)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 87629/7705632. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 87630/7705686. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87631/7705695. ------ 1. ==[ start ]==> (((a a) b)((^b.b) b)) 2. ==[ alpha ]==> (((a a) b)((^x.x) b)) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 87632/7705713. ------ 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 (^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. ------ 87633/7705740. ------ 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 (^x.x))((b a) a)) REDUCED to normal form. ------ 87634/7705767. ------ 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. ------ 87635/7705794. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 87636/7705875. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 87637/7705902. ------ 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. ------ 87638/7705956. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(a (^x1.(^y1.y1))))) 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))))) REDUCED to normal form. ------ 87639/7705983. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((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. ------ 87640/7706019. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) b)(^a.a))) 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 (^x.x))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 87641/7706055. ------ 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) 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. ------ 87642/7706127. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^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. ------ 87643/7706136. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 87644/7706208. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((a b)(^y.(a a))) 8. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 87645/7706289. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 87646/7706316. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 87647/7706343. ------ 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. ------ 87648/7706379. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 87649/7706460. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 87650/7706487. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 87651/7706631. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b (a (^a.(^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. ------ 87652/7706658. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 87653/7706667. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 87654/7706694. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 87655/7706712. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 87656/7706955. ------ 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 (^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. ------ 87657/7707045. ------ 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. ------ 87658/7707072. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 87659/7707126. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.a))) REDUCED to normal form. ------ 87660/7707153. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.b))) 7. ==[ beta ]==> ((a (^x.(x x)))(^z.b)) 8. ==[ alpha ]==> ((a (^x.(x x)))(^y.b)) REDUCED to normal form. ------ 87661/7707180. ------ 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. ------ 87662/7707270. ------ 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))))) 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. ------ 87663/7707297. ------ 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.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(^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. ------ 87664/7707378. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 87665/7707405. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)(^b.(^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. ------ 87666/7707432. ------ 1. ==[ start ]==> ((a (a b))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 87667/7707585. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 87668/7707603. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((b a)(a a))) 3. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 87669/7707630. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((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)))) REDUCED to normal form. ------ 87670/7707639. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 87671/7707657. ------ 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.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. ------ 87672/7707711. ------ 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)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)((^x.x)(^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. ------ 87673/7707792. ------ 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 (((^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. ------ 87674/7707819. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 87675/7707864. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 87676/7707945. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> (a ((^y.(a a))((^z.z) a))) 8. ==[ alpha ]==> (a ((^x.(a a))((^y.y) a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 87677/7707972. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 87678/7707990. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 87679/7707999. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 87680/7708026. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^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))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 87681/7708206. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a)) c)) 3. ==[ beta ]==> (((a b) b)((a a) c)) REDUCED to normal form. ------ 87682/7708413. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 87683/7708647. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 87684/7708881. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 87685/7708908. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 87686/7708935. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 87687/7708989. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b) c)) REDUCED to normal form. ------ 87688/7709115. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 87689/7709376. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 87690/7709430. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 87691/7709457. ------ 1. ==[ start ]==> ((a (b a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 87692/7709691. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a) a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a) a) c)) REDUCED to normal form. ------ 87693/7709817. ------ 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. ------ 87694/7709880. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 87695/7709898. ------ 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 (^y.y)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 87696/7709907. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a) c)) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 87697/7710006. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))((a a) a))) REDUCED to normal form. ------ 87698/7710024. ------ 1. ==[ start ]==> (((a a)(b a))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(b a))(b (^x.b))) REDUCED to normal form. ------ 87699/7710051. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 87700/7710078. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.b)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.b)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(a a))) 5. ==[ beta ]==> ((a (a a))((^y.b)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(a a))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 87701/7710105. ------ 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. ------ 87702/7710132. ------ 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))((^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)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 87703/7710159. ------ 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 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. ------ 87704/7710186. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.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. ------ 87705/7710213. ------ 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))) 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. ------ 87706/7710240. ------ 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 (^y.y)))(a b)) REDUCED to normal form. ------ 87707/7710285. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 87708/7710384. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(c ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(c ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)(c (^y.y))) 8. ==[ alpha ]==> ((a a)(c (^x.x))) REDUCED to normal form. ------ 87709/7710465. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 87710/7710573. ------ 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)(^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. ------ 87711/7710600. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^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. ------ 87712/7710690. ------ 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. ------ 87713/7710717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 87714/7710771. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 87715/7710798. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((a a) a) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a) a) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a) a)) REDUCED to normal form. ------ 87716/7710825. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 87717/7710897. ------ 1. ==[ start ]==> ((a (^b.b))(c (a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(c (a (a a)))) REDUCED to normal form. ------ 87718/7710915. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^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. ------ 87719/7710942. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.a)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.a)) REDUCED to normal form. ------ 87720/7711077. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b (^b.(^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. ------ 87721/7711131. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 87722/7711176. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^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. ------ 87723/7711185. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 87724/7711212. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 87725/7711383. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 87726/7711491. ------ 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 (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. ------ 87727/7711527. ------ 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. ------ 87728/7711554. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 87729/7711581. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.a))) REDUCED to normal form. ------ 87730/7711662. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a) b)) 5. ==[ beta ]==> ((^y.(a a))(((^z.z) a) b)) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y) a) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 87731/7711689. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y)) c)) REDUCED to normal form. ------ 87732/7711707. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b ((^y.y) a))) 3. ==[ beta ]==> (b (b ((^y.y) a))) 4. ==[ alpha ]==> (b (b ((^x.x) a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 87733/7711716. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a) d)) 2. ==[ alpha ]==> (((a b)(^x.a))((a a) d)) REDUCED to normal form. ------ 87734/7711743. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z)) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 87735/7711770. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 87736/7711815. ------ 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. ------ 87737/7711851. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) 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 (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((b (^x.x))(a (^y.y))) REDUCED to normal form. ------ 87738/7711887. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 87739/7711914. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 87740/7711941. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (b a))((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(^y.y))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 87741/7711968. ------ 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. ------ 87742/7711995. ------ 1. ==[ start ]==> ((((^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.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((^x.x)(a 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. ------ 87743/7712022. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(c (^x.x))) REDUCED to normal form. ------ 87744/7712049. ------ 1. ==[ start ]==> (((a b)((a a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 87745/7712076. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 87746/7712103. ------ 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. ------ 87747/7712157. ------ 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))(^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. ------ 87748/7712184. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)(^a.(^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. ------ 87749/7712211. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(b (^x.x))) REDUCED to normal form. ------ 87750/7712247. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 87751/7719153. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^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. ------ 87752/7719234. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(^b.b))) 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. ------ 87753/7719273. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 87754/7719639. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 87755/7719738. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a))(^b.(^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. ------ 87756/7719939. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.(x x))(a a))(^z.z)) 4. ==[ alpha ]==> (((^x.(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. ------ 87757/7719963. ------ 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. ------ 87758/7720263. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^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. ------ 87759/7720272. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^z.b)) REDUCED to normal form. ------ 87760/7720854. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 87761/7721190. ------ 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. ------ 87762/7721421. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((c (^z.(^x1.x1)))(c (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.((c (^y.(^z.z)))(c (^x1.(^y1.y1))))) REDUCED to normal form. ------ 87763/7722027. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 87764/7722303. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((((a a)(^z.z))(^x1.x1))(((a a)(^z.z))(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 87765/7722783. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 87766/7723059. ------ 1. ==[ start ]==> ((^a.(b a))((a b)(^a.(^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. ------ 87767/7723233. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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 (^x.(a a))) REDUCED to normal form. ------ 87768/7723896. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((a a) a) b)) 3. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 87769/7724232. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 87770/7724499. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87771/7724814. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 87772/7724853. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(^z1.((^x2.x2)(^y2.y2)))) 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. ------ 87773/7724988. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(^b.(^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. ------ 87774/7725105. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(a (a a)))) REDUCED to normal form. ------ 87775/7725231. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 87776/7725321. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 87777/7725348. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 87778/7725681. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.c)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.c)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.c)) 5. ==[ beta ]==> (((a a)(^y.y))(^z.c)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.c)) REDUCED to normal form. ------ 87779/7725789. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.b)) 3. ==[ beta ]==> ((b (a a))(^y.b)) 4. ==[ alpha ]==> ((b (a a))(^x.b)) REDUCED to normal form. ------ 87780/7725813. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((^y.(^z.z)) a)((^y.(^z.z)) a))(((^y.(^z.z)) a)((^y.(^z.z)) a))) 4. ==[ alpha ]==> ((((^x.(^y.y)) a)((^z.(^x1.x1)) a))(((^y1.(^z1.z1)) a)((^x2.(^y2.y2)) a))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) a))(((^y1.(^z1.z1)) a)((^x2.(^y2.y2)) a))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(((^x1.(^y1.y1)) a)((^z1.(^x2.x2)) a))) 7. ==[ beta ]==> (((^y.(^z.z)) a)(((^x1.(^y1.y1)) a)((^z1.(^x2.x2)) a))) 8. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.(^x1.x1)) a)((^y1.(^z1.z1)) a))) 9. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a)((^y1.(^z1.z1)) a))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a)((^x1.(^y1.y1)) a))) 11. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(^y1.y1)) a)) 12. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) a)) 13. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 15. ==[ beta ]==> ((^y.(^z.z)) a) 16. ==[ alpha ]==> ((^x.(^y.y)) a) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87781/7725852. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.(^a.(^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. ------ 87782/7725963. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^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. ------ 87783/7726017. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 87784/7726044. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 87785/7726053. ------ 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))) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 87786/7726080. ------ 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. ------ 87787/7726107. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) b)(a a))) 3. ==[ beta ]==> (((a a) b)(b (a a))) REDUCED to normal form. ------ 87788/7726134. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 87789/7726161. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 87790/7726188. ------ 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. ------ 87791/7726242. ------ 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)((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. ------ 87792/7726323. ------ 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. ------ 87793/7726350. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(b a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(b a))) 5. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 87794/7726377. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 87795/7726395. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 87796/7726404. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) b)) REDUCED to normal form. ------ 87797/7726449. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 87798/7726467. ------ 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)))) 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. ------ 87799/7726494. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 87800/7726521. ------ 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. ------ 87801/7726548. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(a a))(^b.(^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. ------ 87802/7726557. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.(a a))((^z.z)(^x1.x1)))((^y.(a a))((^z.z)(^x1.x1)))) 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. ------ 87803/7726584. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 87804/7726638. ------ 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 ]==> (((^y.y)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(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. ------ 87805/7726665. ------ 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. ------ 87806/7726692. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 87807/7726746. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(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. ------ 87808/7726773. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 87809/7726791. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 87810/7726818. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b a) c)) 3. ==[ beta ]==> (((a (^x.x)) a)((b a) c)) REDUCED to normal form. ------ 87811/7726908. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 87812/7727043. ------ 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))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 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. ------ 87813/7727052. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 87814/7727070. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(^b.b))) 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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87815/7727079. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a ((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a b)) REDUCED to normal form. ------ 87816/7727106. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 87817/7727133. ------ 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. ------ 87818/7727160. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 9. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 87819/7727367. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.(^x2.x2))))) 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. ------ 87820/7727421. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> (a ((^z.(^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a a))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 87821/7727502. ------ 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. ------ 87822/7727529. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1)(^x2.x2)))) 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. ------ 87823/7727583. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 87824/7727664. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 87825/7727682. ------ 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. ------ 87826/7727709. ------ 1. ==[ start ]==> (((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))) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 87827/7727736. ------ 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. ------ 87828/7727853. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 87829/7727934. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 87830/7727997. ------ 1. ==[ start ]==> ((((a a) a) b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 87831/7728024. ------ 1. ==[ start ]==> (((a b) a)((b a)(a a))) REDUCED to normal form. ------ 87832/7728051. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 87833/7728105. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 87834/7728132. ------ 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)(^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. ------ 87835/7728159. ------ 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)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 87836/7728186. ------ 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. ------ 87837/7728213. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(a (a a))) REDUCED to normal form. ------ 87838/7728231. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 87839/7728303. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((b a)(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a)(^z.z))) 5. ==[ beta ]==> ((a (^y.y))((b a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 87840/7728330. ------ 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.(^z.z)))) REDUCED to normal form. ------ 87841/7728357. ------ 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.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> (a (((^y.y)(a a))(^z.a))) 8. ==[ alpha ]==> (a (((^x.x)(a a))(^y.a))) 9. ==[ beta ]==> (a ((a a)(^y.a))) 10. ==[ alpha ]==> (a ((a a)(^x.a))) REDUCED to normal form. ------ 87842/7728384. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 87843/7728411. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 87844/7728447. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^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. ------ 87845/7728474. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(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. ------ 87846/7728528. ------ 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.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. ------ 87847/7728609. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 87848/7728663. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.(y y)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 87849/7728690. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 87850/7728744. ------ 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 x1))(^y1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.b))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.b))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 11. ==[ beta ]==> ((^y.(y y))(^z.b)) 12. ==[ alpha ]==> ((^x.(x x))(^y.b)) 13. ==[ beta ]==> ((^y.b)(^y.b)) 14. ==[ alpha ]==> ((^x.b)(^y.b)) 15. ==[ beta ]==> b REDUCED to normal form. ------ 87851/7728807. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 87852/7728834. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 87853/7728861. ------ 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.z))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 87854/7728897. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a)) c)) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a)) c)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) c)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 87855/7729050. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((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 (^x.x))(a a))) REDUCED to normal form. ------ 87856/7729113. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 87857/7729149. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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. ------ 87858/7729284. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 87859/7729392. ------ 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))(^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. ------ 87860/7729527. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.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. ------ 87861/7729536. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (a b))) REDUCED to normal form. ------ 87862/7729563. ------ 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)(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. ------ 87863/7729590. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 87864/7729626. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 87865/7729653. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b) c)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b) c)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b) c)) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 87866/7729680. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 87867/7729842. ------ 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))(^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. ------ 87868/7729869. ------ 1. ==[ start ]==> ((a (b a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 87869/7729959. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.(z z))((^x1.x1)(^y1.y1)))) 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. ------ 87870/7730040. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 87871/7730148. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 87872/7730175. ------ 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.(^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. ------ 87873/7730211. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c ((a a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(c ((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c ((a a) a))) REDUCED to normal form. ------ 87874/7730229. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^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. ------ 87875/7730238. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b (a b))) REDUCED to normal form. ------ 87876/7730292. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 87877/7730319. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 87878/7730346. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.a))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(^x.a))((^y.y) a)) 9. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 87879/7730373. ------ 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))(a (a a)))) REDUCED to normal form. ------ 87880/7730490. ------ 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. ------ 87881/7730517. ------ 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. ------ 87882/7730544. ------ 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)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.a))) 9. ==[ beta ]==> (((a a) a)(^y.a)) 10. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 87883/7730571. ------ 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 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. ------ 87884/7730598. ------ 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. ------ 87885/7730652. ------ 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))) REDUCED to normal form. ------ 87886/7730706. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a) b)) REDUCED to normal form. ------ 87887/7730796. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.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. ------ 87888/7730994. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 87889/7731012. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b (^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 87890/7731021. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)((a a) a))) REDUCED to normal form. ------ 87891/7731039. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 87892/7731093. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 87893/7731174. ------ 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)(^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. ------ 87894/7731282. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^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. ------ 87895/7731309. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 87896/7731408. ------ 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. ------ 87897/7731435. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z)) c)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z)) c)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y)) c)) 5. ==[ beta ]==> ((a b)((^y.(y y)) c)) 6. ==[ alpha ]==> ((a b)((^x.(x x)) c)) 7. ==[ beta ]==> ((a b)(c c)) REDUCED to normal form. ------ 87898/7731543. ------ 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.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.z))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 87899/7731597. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z) 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. ------ 87900/7731624. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 87901/7731633. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 87902/7731660. ------ 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)((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)((^x2.x2)(^y2.y2)))) 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. ------ 87903/7731795. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(^b.(^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. ------ 87904/7731903. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b (^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87905/7731912. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(a (a a)))) REDUCED to normal form. ------ 87906/7731957. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(a a))) 5. ==[ beta ]==> (b ((^y.(y y))(a a))) 6. ==[ alpha ]==> (b ((^x.(x x))(a a))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 87907/7731984. ------ 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 REDUCED to normal form. ------ 87908/7732038. ------ 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. ------ 87909/7732101. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c (a (^y.y)))) REDUCED to normal form. ------ 87910/7732119. ------ 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 ((^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. ------ 87911/7732128. ------ 1. ==[ start ]==> (((a b)(^c.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(b ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.a))(b a)) REDUCED to normal form. ------ 87912/7732155. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 87913/7732182. ------ 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. ------ 87914/7732227. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 87915/7732236. ------ 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))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a) a)) REDUCED to normal form. ------ 87916/7732299. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 87917/7732326. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(^x1.a))) REDUCED to normal form. ------ 87918/7732353. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a) a)) 3. ==[ beta ]==> ((a (b a))(((^y.y) a) a)) 4. ==[ alpha ]==> ((a (b a))(((^x.x) a) a)) 5. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 87919/7732380. ------ 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. ------ 87920/7732434. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a) a)) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 87921/7732461. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 87922/7732515. ------ 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. ------ 87923/7732569. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.x1)) a)) REDUCED to normal form. ------ 87924/7732596. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a a) b)) 3. ==[ beta ]==> ((b (a a))((a a) b)) REDUCED to normal form. ------ 87925/7732623. ------ 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. ------ 87926/7732659. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a (^a.(^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. ------ 87927/7732896. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((^z.((z z)(z z)))(^y.y)) 4. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.y)) 5. ==[ beta ]==> (((^y.y)(^y.y))((^y.y)(^y.y))) 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. ------ 87928/7739430. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((^y.(y (^z.z)))(^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)))(^x2.(x2 (^y2.y2))))) 5. ==[ beta ]==> (((^z.(z (^x1.x1)))(^y.y))((^y1.(y1 (^z1.z1)))(^x2.(x2 (^y2.y2))))) 6. ==[ alpha ]==> (((^x.(x (^y.y)))(^z.z))((^x1.(x1 (^y1.y1)))(^z1.(z1 (^x2.x2))))) 7. ==[ beta ]==> (((^z.z)(^y.y))((^x1.(x1 (^y1.y1)))(^z1.(z1 (^x2.x2))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z (^x1.x1)))(^y1.(y1 (^z1.z1))))) 9. ==[ beta ]==> ((^y.y)((^z.(z (^x1.x1)))(^y1.(y1 (^z1.z1))))) 10. ==[ alpha ]==> ((^x.x)((^y.(y (^z.z)))(^x1.(x1 (^y1.y1))))) 11. ==[ beta ]==> ((^y.(y (^z.z)))(^x1.(x1 (^y1.y1)))) 12. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(z (^x1.x1)))) 13. ==[ beta ]==> ((^z.(z (^x1.x1)))(^y.y)) 14. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.z)) 15. ==[ beta ]==> ((^z.z)(^y.y)) 16. ==[ alpha ]==> ((^x.x)(^y.y)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 87929/7739703. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 87930/7739709. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a ((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. ------ 87931/7739712. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((y y)(y y)))) REDUCED to normal form. ------ 87932/7739898. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)(a b))) 3. ==[ eta ]==> ((^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. ------ 87933/7740069. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 87934/7740378. ------ 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. ------ 87935/7740393. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 87936/7740702. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 87937/7740951. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((((^y.y) a)((a a)(^z.z)))(((^y.y) a)((a a)(^z.z))))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((((^x.x) a)((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1))))(((^y1.y1) a)((a a)(^z1.z1)))) 5. ==[ beta ]==> (((a ((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1))))(((^y1.y1) a)((a a)(^z1.z1)))) 6. ==[ alpha ]==> (((a ((a a)(^x.x)))(((^y.y) a)((a a)(^z.z))))(((^x1.x1) a)((a a)(^y1.y1)))) 7. ==[ beta ]==> (((a ((a a)(^x.x)))(a ((a a)(^z.z))))(((^x1.x1) a)((a a)(^y1.y1)))) 8. ==[ alpha ]==> (((a ((a a)(^x.x)))(a ((a a)(^y.y))))(((^z.z) a)((a a)(^x1.x1)))) 9. ==[ beta ]==> (((a ((a a)(^x.x)))(a ((a a)(^y.y))))(a ((a a)(^x1.x1)))) 10. ==[ alpha ]==> (((a ((a a)(^x.x)))(a ((a a)(^y.y))))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 87938/7741620. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 87939/7742970. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 87940/7743213. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 87941/7743663. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 87942/7744833. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((a a) a))) REDUCED to normal form. ------ 87943/7745004. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.((z z) z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((y y) y))) REDUCED to normal form. ------ 87944/7745244. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c d)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c d)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 87945/7745562. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(^b.(^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. ------ 87946/7745778. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 87947/7745886. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.(^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. ------ 87948/7746057. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.((^y.y) x))) 3. ==[ eta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 87949/7746243. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a (a (^y.y)))) 3. ==[ beta ]==> (((a (a (^y.y)))(a (a (^y.y))))((a (a (^y.y)))(a (a (^y.y))))) 4. ==[ alpha ]==> (((a (a (^x.x)))(a (a (^y.y))))((a (a (^z.z)))(a (a (^x1.x1))))) REDUCED to normal form. ------ 87950/7746246. ------ 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. ------ 87951/7746282. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 87952/7746411. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(^c.(^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)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 87953/7746465. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 87954/7746492. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(^b.b))) 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))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 87955/7746501. ------ 1. ==[ start ]==> (((a a)(a a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a a))(b ((^x.x) b))) 3. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 87956/7746528. ------ 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. ------ 87957/7746564. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 87958/7746663. ------ 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. ------ 87959/7746690. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)((a a) a))) REDUCED to normal form. ------ 87960/7746717. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(a b))) 3. ==[ beta ]==> ((a a)(((a a) a)(a b))) REDUCED to normal form. ------ 87961/7746816. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 87962/7746843. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.x1))) REDUCED to normal form. ------ 87963/7746888. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((a (^x.(x x)))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 87964/7746996. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((^y.y)(a a))(^z.(^x1.x1)))(((^y.y)(a a))(^z.(^x1.x1)))) 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. ------ 87965/7747023. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 87966/7747059. ------ 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) REDUCED to normal form. ------ 87967/7747077. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(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. ------ 87968/7747086. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^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)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 87969/7747113. ------ 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 a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 87970/7747140. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 87971/7747167. ------ 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 (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 87972/7747185. ------ 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)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 87973/7747194. ------ 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. ------ 87974/7747212. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 87975/7747302. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 87976/7747437. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 87977/7747491. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^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. ------ 87978/7747518. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 87979/7747563. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1))) b)) 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. ------ 87980/7747635. ------ 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. ------ 87981/7747662. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a b)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)(^y.y))) REDUCED to normal form. ------ 87982/7747689. ------ 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. ------ 87983/7747716. ------ 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. ------ 87984/7747743. ------ 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. ------ 87985/7747770. ------ 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)))) 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. ------ 87986/7747860. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (a ((a (^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 87987/7747941. ------ 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 z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^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. ------ 87988/7747968. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 87989/7747977. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 87990/7748022. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(^x1.b))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.b))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.b))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 11. ==[ beta ]==> ((a a)(^y.b)) 12. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 87991/7748031. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 87992/7748058. ------ 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.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. ------ 87993/7748085. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 87994/7748274. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 87995/7748436. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^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. ------ 87996/7748454. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 87997/7748688. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 87998/7748715. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(b a))) REDUCED to normal form. ------ 87999/7748841. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^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. ------ 88000/7748886. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 88001/7748913. ------ 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. ------ 88002/7748967. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(^x2.x2)))) 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. ------ 88003/7749048. ------ 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)) REDUCED to normal form. ------ 88004/7749057. ------ 1. ==[ start ]==> (((a b) b)((^c.(^a.a))(^a.(^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. ------ 88005/7749084. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a))(^b.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. ------ 88006/7749111. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 88007/7749138. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 88008/7749192. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 88009/7749219. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(a a)))) 7. ==[ beta ]==> (((^y.a)(^z.(a a)))((^y.a)(^z.(a a)))) 8. ==[ alpha ]==> (((^x.a)(^y.(a a)))((^z.a)(^x1.(a a)))) 9. ==[ beta ]==> (a ((^z.a)(^x1.(a a)))) 10. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 88010/7749246. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^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. ------ 88011/7749336. ------ 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)(a a))(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(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. ------ 88012/7749363. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a b) a)) REDUCED to normal form. ------ 88013/7749390. ------ 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. ------ 88014/7749417. ------ 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)(^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. ------ 88015/7749444. ------ 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 a) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 88016/7749471. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(a b))) 5. ==[ beta ]==> ((((a a) a) a)(a (a b))) REDUCED to normal form. ------ 88017/7749489. ------ 1. ==[ start ]==> (((^a.b) c)(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(c (^y.(a a)))) 3. ==[ beta ]==> (b (c (^y.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 88018/7749498. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 88019/7749525. ------ 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. ------ 88020/7749588. ------ 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))(^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. ------ 88021/7749723. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 88022/7749732. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(a b))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(a b))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 88023/7749759. ------ 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.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. ------ 88024/7749786. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((a a)(^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. ------ 88025/7749804. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 88026/7749831. ------ 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)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(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. ------ 88027/7749840. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 88028/7749867. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b)(^b.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. ------ 88029/7749921. ------ 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.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88030/7749975. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 88031/7750002. ------ 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.(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. ------ 88032/7750065. ------ 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. ------ 88033/7750092. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a 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. ------ 88034/7750119. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 88035/7750146. ------ 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 (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)))) 5. ==[ beta ]==> (((a (a a))((a a) a))(a (a a))) REDUCED to normal form. ------ 88036/7750173. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((a (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. ------ 88037/7750200. ------ 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. ------ 88038/7750227. ------ 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))) REDUCED to normal form. ------ 88039/7750254. ------ 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)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 88040/7750398. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))(^b.(^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. ------ 88041/7750479. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 88042/7750542. ------ 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)(^x.x)) b) b) REDUCED to normal form. ------ 88043/7750650. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.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. ------ 88044/7750677. ------ 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. ------ 88045/7750749. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.b) b)) 3. ==[ beta ]==> (b ((^y.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 88046/7750875. ------ 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. ------ 88047/7750902. ------ 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))) REDUCED to normal form. ------ 88048/7751136. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^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. ------ 88049/7751154. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a) a) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a) a) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 88050/7751316. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> (b ((^x1.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 88051/7751460. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (^x1.a))) REDUCED to normal form. ------ 88052/7751532. ------ 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))(^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. ------ 88053/7751541. ------ 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. ------ 88054/7751568. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 88055/7751613. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 88056/7751622. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 88057/7751649. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 88058/7751676. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 88059/7751730. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 88060/7751793. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b ((^y.y)(^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. ------ 88061/7751820. ------ 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. ------ 88062/7751847. ------ 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. ------ 88063/7751874. ------ 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. ------ 88064/7751901. ------ 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. ------ 88065/7751928. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 88066/7751955. ------ 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. ------ 88067/7752027. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 88068/7752063. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c d)) 2. ==[ alpha ]==> ((a ((^x.x) b))(c d)) 3. ==[ beta ]==> ((a b)(c d)) REDUCED to normal form. ------ 88069/7752072. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(^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))) REDUCED to normal form. ------ 88070/7752099. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z1.(^x2.x2)))) 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. ------ 88071/7752351. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (^z.(z z)))) REDUCED to normal form. ------ 88072/7752378. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (^b.(^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. ------ 88073/7752396. ------ 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. ------ 88074/7752405. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 88075/7752423. ------ 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)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.x2)))) 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. ------ 88076/7752432. ------ 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) REDUCED to normal form. ------ 88077/7752477. ------ 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 z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 88078/7752513. ------ 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. ------ 88079/7752540. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a)(^a.(^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. ------ 88080/7752558. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (^y.y)) c)) 3. ==[ beta ]==> (b ((a (^y.y)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 88081/7752567. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 88082/7752594. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 88083/7752675. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (^y1.a))) REDUCED to normal form. ------ 88084/7752702. ------ 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)))) REDUCED to normal form. ------ 88085/7752738. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c b)) 3. ==[ beta ]==> (((a a) b)(c b)) REDUCED to normal form. ------ 88086/7752765. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b c)) REDUCED to normal form. ------ 88087/7752846. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))(b (a (^z.z)))) 6. ==[ alpha ]==> (((^x.x)(a a))(b (a (^y.y)))) 7. ==[ beta ]==> ((a a)(b (a (^y.y)))) 8. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 88088/7752873. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(a ((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)(a b))(a a)) REDUCED to normal form. ------ 88089/7752900. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(a a))) REDUCED to normal form. ------ 88090/7752927. ------ 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. ------ 88091/7753035. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b (a a))) 3. ==[ beta ]==> ((b (a a))(b (a a))) REDUCED to normal form. ------ 88092/7753062. ------ 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. ------ 88093/7753098. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 88094/7753344. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^z.(^x1.(a a)))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.(a a)))(^z.z)) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 88095/7759878. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.(^z2.z2)))(^x3.(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.(^z2.z2)))(^x3.(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88096/7760058. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1)))) 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. ------ 88097/7760169. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 88098/7760178. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88099/7760283. ------ 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. ------ 88100/7760976. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(a 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. ------ 88101/7761789. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 88102/7761921. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z))) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 88103/7762095. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(a (^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))))) REDUCED to normal form. ------ 88104/7762308. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.((((^z.z) a)((^x1.x1)(a a)))(((^z.z) a)((^x1.x1)(a a))))) 4. ==[ alpha ]==> (^x.((((^y.y) a)((^z.z)(a a)))(((^x1.x1) a)((^y1.y1)(a a))))) 5. ==[ beta ]==> (^x.((a ((^z.z)(a a)))(((^x1.x1) a)((^y1.y1)(a a))))) 6. ==[ alpha ]==> (^x.((a ((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a))))) 7. ==[ beta ]==> (^x.((a (a a))(((^z.z) a)((^x1.x1)(a a))))) 8. ==[ alpha ]==> (^x.((a (a a))(((^y.y) a)((^z.z)(a a))))) 9. ==[ beta ]==> (^x.((a (a a))(a ((^z.z)(a a))))) 10. ==[ alpha ]==> (^x.((a (a a))(a ((^y.y)(a a))))) 11. ==[ beta ]==> (^x.((a (a a))(a (a a)))) REDUCED to normal form. ------ 88105/7762383. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 88106/7763946. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(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 a)) REDUCED to normal form. ------ 88107/7764495. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 88108/7764570. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(y y)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 88109/7764783. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((^x1.b)(^y1.y1))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (b (^z.(^x1.x1))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 88110/7764957. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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))) REDUCED to normal form. ------ 88111/7765119. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 88112/7765461. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 88113/7765701. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 88114/7765875. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 88115/7766235. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.d)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.d)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.d)) REDUCED to normal form. ------ 88116/7766433. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.((^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))(^x.a)) REDUCED to normal form. ------ 88117/7766514. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 88118/7766595. ------ 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. ------ 88119/7766649. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 88120/7766700. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.(^x1.x1)))((^y.y)(^z.(^x1.x1))))(((^y.y)(^z.(^x1.x1)))((^y.y)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1))))(((^x2.x2)(^y2.(^z2.z2)))((^x3.x3)(^y3.(^z3.z3))))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1))))(((^x2.x2)(^y2.(^z2.z2)))((^x3.x3)(^y3.(^z3.z3))))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.(^y1.y1))))(((^z1.z1)(^x2.(^y2.y2)))((^z2.z2)(^x3.(^y3.y3))))) 7. ==[ beta ]==> ((^y.y)(((^z1.z1)(^x2.(^y2.y2)))((^z2.z2)(^x3.(^y3.y3))))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2))))) 9. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 10. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88121/7766703. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 88122/7766739. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 88123/7766886. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 88124/7766967. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 88125/7767003. ------ 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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88126/7767012. ------ 1. ==[ start ]==> (((a a) b)((^c.(a a)) a)) 2. ==[ alpha ]==> (((a a) b)((^x.(a a)) a)) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 88127/7767030. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^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. ------ 88128/7767039. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) b)) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 88129/7767057. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 88130/7767084. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 88131/7767111. ------ 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. ------ 88132/7767192. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(a b))) 3. ==[ beta ]==> ((^y.a)(((a a) a)(a b))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 88133/7767219. ------ 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.x2)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2)(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. ------ 88134/7767273. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(b a))) 5. ==[ beta ]==> (a (((^y.y) a)(b a))) 6. ==[ alpha ]==> (a (((^x.x) a)(b a))) 7. ==[ beta ]==> (a (a (b a))) REDUCED to normal form. ------ 88135/7767300. ------ 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 (^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. ------ 88136/7767372. ------ 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) 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. ------ 88137/7767399. ------ 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 (^z1.z1)))) 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. ------ 88138/7767444. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 88139/7767525. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a) a)(^y.b))) 3. ==[ beta ]==> ((a b)(((a a) a)(^y.b))) 4. ==[ alpha ]==> ((a b)(((a a) a)(^x.b))) REDUCED to normal form. ------ 88140/7767552. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^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. ------ 88141/7767633. ------ 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.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 88142/7767660. ------ 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. ------ 88143/7767696. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 88144/7767723. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 88145/7767804. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 88146/7767975. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (a (^a.(^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. ------ 88147/7768011. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z) a)) 3. ==[ beta ]==> ((a (^y.a))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 88148/7768029. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 88149/7768038. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1))) b)) 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. ------ 88150/7768272. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(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. ------ 88151/7768362. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> (b ((b a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 88152/7768389. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 88153/7768443. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 88154/7768497. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a (a a))(^x.a))(^z.b)) 6. ==[ alpha ]==> (((a (a a))(^x.a))(^y.b)) REDUCED to normal form. ------ 88155/7768524. ------ 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. ------ 88156/7768587. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^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. ------ 88157/7768614. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 88158/7768641. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 88159/7768722. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 88160/7768749. ------ 1. ==[ start ]==> ((a (a b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 88161/7768920. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 88162/7768929. ------ 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. ------ 88163/7768947. ------ 1. ==[ start ]==> (((^a.a)(a b))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))((b a)(a a))) 3. ==[ beta ]==> ((a b)((b a)(a a))) REDUCED to normal form. ------ 88164/7768974. ------ 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 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. ------ 88165/7769028. ------ 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. ------ 88166/7769109. ------ 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. ------ 88167/7769136. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (a a))) REDUCED to normal form. ------ 88168/7769154. ------ 1. ==[ start ]==> (((a a)(a b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 88169/7769208. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 88170/7769289. ------ 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.z) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 88171/7769307. ------ 1. ==[ start ]==> (((^a.b) b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((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. ------ 88172/7769316. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 88173/7769523. ------ 1. ==[ start ]==> (((a b) b)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b) b)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 88174/7769730. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 88175/7769964. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (^y.(a a)))) REDUCED to normal form. ------ 88176/7769991. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(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. ------ 88177/7770198. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a b) c)(a (^y.b))) 4. ==[ alpha ]==> (((a b) c)(a (^x.b))) REDUCED to normal form. ------ 88178/7770225. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 88179/7770306. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a) b)) REDUCED to normal form. ------ 88180/7770333. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a b) c)) 3. ==[ beta ]==> ((a (^y.b))((a b) c)) 4. ==[ alpha ]==> ((a (^x.b))((a b) c)) REDUCED to normal form. ------ 88181/7770693. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c (^y.b))) 3. ==[ beta ]==> (((a b) a)(c (^y.b))) 4. ==[ alpha ]==> (((a b) a)(c (^x.b))) REDUCED to normal form. ------ 88182/7770720. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(a a)))) REDUCED to normal form. ------ 88183/7770774. ------ 1. ==[ start ]==> ((a (b a))((^b.(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. ------ 88184/7771008. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b) b)) REDUCED to normal form. ------ 88185/7771134. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c ((a a) a))) 3. ==[ beta ]==> (((a b)(a b))(c ((a a) a))) REDUCED to normal form. ------ 88186/7771197. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(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. ------ 88187/7771215. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 88188/7771224. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b) b)) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 88189/7771251. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a) c)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a) c)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a) c)) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 88190/7771323. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 88191/7771341. ------ 1. ==[ start ]==> (((a a)(b a))(c (^c.a))) 2. ==[ alpha ]==> (((a a)(b a))(c (^x.a))) REDUCED to normal form. ------ 88192/7771368. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 88193/7771395. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (^z.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a 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. ------ 88194/7771422. ------ 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. ------ 88195/7771476. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 88196/7771503. ------ 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. ------ 88197/7771530. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 88198/7771557. ------ 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.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. ------ 88199/7771602. ------ 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. ------ 88200/7771611. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 88201/7771782. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 88202/7771890. ------ 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))(((^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. ------ 88203/7771917. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((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 (^z.z))(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 88204/7771944. ------ 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)((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. ------ 88205/7772007. ------ 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. ------ 88206/7772034. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a))(^b.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. ------ 88207/7772088. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 88208/7772142. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a) a) a)) REDUCED to normal form. ------ 88209/7772232. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 88210/7772259. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^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. ------ 88211/7772394. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c (^z.(z z)))) 3. ==[ beta ]==> (((a b)(^y.y))(c (^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (^y.(y y)))) REDUCED to normal form. ------ 88212/7772421. ------ 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. ------ 88213/7772493. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 88214/7772502. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 88215/7772529. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 88216/7772538. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c d)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c d)) 3. ==[ beta ]==> ((^y.y)(c d)) 4. ==[ alpha ]==> ((^x.x)(c d)) 5. ==[ beta ]==> (c d) REDUCED to normal form. ------ 88217/7772700. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 88218/7772808. ------ 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 (^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88219/7772871. ------ 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. ------ 88220/7772898. ------ 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)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 88221/7772979. ------ 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 a) REDUCED to normal form. ------ 88222/7773006. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a b)) REDUCED to normal form. ------ 88223/7773024. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c (a (^y.y)))) 3. ==[ beta ]==> (b (c (a (^y.y)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 88224/7773033. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y)) c)) REDUCED to normal form. ------ 88225/7773087. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 88226/7773132. ------ 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 (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88227/7773204. ------ 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) REDUCED to normal form. ------ 88228/7773231. ------ 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.(^y1.y1))(a (^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. ------ 88229/7773258. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (b a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a (b a))((^x.x)((^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. ------ 88230/7773285. ------ 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. ------ 88231/7773312. ------ 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)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 88232/7773339. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)(^b.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. ------ 88233/7773366. ------ 1. ==[ start ]==> (((a b)((a a) a))(c (^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(c (^x.x))) REDUCED to normal form. ------ 88234/7773393. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 88235/7773420. ------ 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. ------ 88236/7773474. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 88237/7773501. ------ 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))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 88238/7773528. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.a)(^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. ------ 88239/7773564. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 88240/7774503. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((^x.(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 88241/7780605. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 88242/7780662. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88243/7780671. ------ 1. ==[ start ]==> (((a a) b)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.((x x)(x x)))) REDUCED to normal form. ------ 88244/7781109. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.(z z)))((((a a)(^y.y))(^z.(z z)))(((a a)(^y.y))(^z.(z z))))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((((a a)(^z.z))(^x1.(x1 x1)))(((a a)(^y1.y1))(^z1.(z1 z1))))) REDUCED to normal form. ------ 88245/7781334. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 88246/7781337. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 88247/7781670. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.a))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z) b))) 5. ==[ beta ]==> ((a (^x.a))(^y.b)) REDUCED to normal form. ------ 88248/7781985. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 88249/7782225. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 88250/7782579. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 88251/7782588. ------ 1. ==[ start ]==> (((a b) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 88252/7782999. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((((a a) a)(^z.(^x1.x1)))(((a a) a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((((a a) a)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((((a a) a)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 88253/7783425. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.y)) b) 4. ==[ beta ]==> (((a a)(^y.y)) b) 5. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 88254/7783929. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 88255/7784430. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(a a))(^z.z))) 3. ==[ eta ]==> (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. ------ 88256/7784856. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 88257/7785267. ------ 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. ------ 88258/7785441. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(^a.b))) 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. ------ 88259/7785870. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88260/7786185. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 88261/7786503. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(a (a a)))) 3. ==[ beta ]==> ((b a)(^y.(a (a a)))) 4. ==[ alpha ]==> ((b a)(^x.(a (a a)))) REDUCED to normal form. ------ 88262/7786521. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(^b.(^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. ------ 88263/7786746. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(z (z z)))) REDUCED to normal form. ------ 88264/7786827. ------ 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))(^y.a)) REDUCED to normal form. ------ 88265/7786917. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.a))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.a))) REDUCED to normal form. ------ 88266/7786998. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.c)) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 88267/7787079. ------ 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. ------ 88268/7787184. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a) b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a) b)) 3. ==[ beta ]==> ((((a a) b)((a a) b))(((a a) b)((a a) b))) REDUCED to normal form. ------ 88269/7787388. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^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. ------ 88270/7787442. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 88271/7787451. ------ 1. ==[ start ]==> (((^a.a) b)(c (a (^a.(^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. ------ 88272/7787478. ------ 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)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 88273/7787505. ------ 1. ==[ start ]==> (((a a) b)(a ((a a)(a a)))) REDUCED to normal form. ------ 88274/7787532. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (a a))) REDUCED to normal form. ------ 88275/7787559. ------ 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 (^y1.y1)))) REDUCED to normal form. ------ 88276/7787586. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((b a) a)) REDUCED to normal form. ------ 88277/7787640. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 88278/7787721. ------ 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)(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. ------ 88279/7787748. ------ 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. ------ 88280/7787775. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a a)(^x.a))(a (b a))) REDUCED to normal form. ------ 88281/7787802. ------ 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 (^y1.(^z1.z1))))) REDUCED to normal form. ------ 88282/7787829. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)((^z.z) b))) 3. ==[ beta ]==> ((a (^y.y))((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. ------ 88283/7787865. ------ 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) 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. ------ 88284/7787892. ------ 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.(^z1.z1)))) REDUCED to normal form. ------ 88285/7787919. ------ 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. ------ 88286/7787946. ------ 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 y)))) REDUCED to normal form. ------ 88287/7787982. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 88288/7788063. ------ 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. ------ 88289/7788090. ------ 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 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. ------ 88290/7788144. ------ 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 (^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. ------ 88291/7788171. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 88292/7788189. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) b) a)) 3. ==[ beta ]==> (((a a)(a (a a)))(b a)) REDUCED to normal form. ------ 88293/7788216. ------ 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)) REDUCED to normal form. ------ 88294/7788243. ------ 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. ------ 88295/7788306. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(a a))(^b.(^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. ------ 88296/7788333. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^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. ------ 88297/7788387. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88298/7788450. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (b a))) REDUCED to normal form. ------ 88299/7788468. ------ 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))(^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. ------ 88300/7788477. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 88301/7788504. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a ((^z.z) b))) 3. ==[ beta ]==> ((a (^y.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. ------ 88302/7788531. ------ 1. ==[ start ]==> (((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 a))) REDUCED to normal form. ------ 88303/7788558. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)((b a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 88304/7788765. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.a))) 3. ==[ beta ]==> ((^y.y)(c (^y1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 88305/7788819. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (^z.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (^z.z))) 5. ==[ beta ]==> (a (a (^z.z))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 88306/7788927. ------ 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. ------ 88307/7789062. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 88308/7789107. ------ 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)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 88309/7789134. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (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)) REDUCED to normal form. ------ 88310/7789161. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((b a) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((b a) b)) 3. ==[ beta ]==> (((a (a a)) a)((b a) b)) REDUCED to normal form. ------ 88311/7789251. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 88312/7789332. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(a a)))) IRREDUCIBLE: cycle. ------ 88313/7789395. ------ 1. ==[ start ]==> ((((a a) a) b)(b (b a))) REDUCED to normal form. ------ 88314/7789413. ------ 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 ((^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. ------ 88315/7789422. ------ 1. ==[ start ]==> (((a b) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 88316/7789449. ------ 1. ==[ start ]==> (((a a)(^a.b))((b a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((b a)(a a))) REDUCED to normal form. ------ 88317/7789503. ------ 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.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. ------ 88318/7789530. ------ 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. ------ 88319/7789557. ------ 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 REDUCED to normal form. ------ 88320/7789584. ------ 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)(^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. ------ 88321/7789611. ------ 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. ------ 88322/7789728. ------ 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. ------ 88323/7789755. ------ 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))(^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. ------ 88324/7789782. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 88325/7789809. ------ 1. ==[ start ]==> (((a b)(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 88326/7789836. ------ 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)))) 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. ------ 88327/7789845. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 88328/7789872. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^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. ------ 88329/7789926. ------ 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.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. ------ 88330/7790061. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(a a))(^b.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. ------ 88331/7790088. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 88332/7790142. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88333/7790205. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(c (a a))) REDUCED to normal form. ------ 88334/7790223. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^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. ------ 88335/7790232. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 88336/7790259. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a (b a))) 3. ==[ beta ]==> (((a a)(^y.y))(a (b a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (b a))) REDUCED to normal form. ------ 88337/7790322. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 88338/7790448. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 88339/7790547. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 88340/7790682. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 88341/7790763. ------ 1. ==[ start ]==> (((^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)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 88342/7790844. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b)(^b.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. ------ 88343/7790925. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 88344/7790988. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(b (a a))) REDUCED to normal form. ------ 88345/7791051. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(a a)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a)) b)) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 88346/7791078. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 88347/7791267. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(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. ------ 88348/7791357. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(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. ------ 88349/7791438. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^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. ------ 88350/7791546. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.a)(^b.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. ------ 88351/7791573. ------ 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.(^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. ------ 88352/7791627. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.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. ------ 88353/7791636. ------ 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. ------ 88354/7791690. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 88355/7791717. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)(a a))) REDUCED to normal form. ------ 88356/7791744. ------ 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. ------ 88357/7791771. ------ 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))((^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. ------ 88358/7791915. ------ 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. ------ 88359/7791942. ------ 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. ------ 88360/7791969. ------ 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)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(^z.a)) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.a)) REDUCED to normal form. ------ 88361/7791996. ------ 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. ------ 88362/7792023. ------ 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.(^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. ------ 88363/7792104. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a b) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b) a)) REDUCED to normal form. ------ 88364/7792113. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.b)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 88365/7792194. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) 7. ==[ beta ]==> ((a a)((^y.(y y))(^y.(y y)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 88366/7792275. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 88367/7792392. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a (a a)))) REDUCED to normal form. ------ 88368/7792419. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 88369/7792437. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 88370/7792572. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.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. ------ 88371/7792680. ------ 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))(^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. ------ 88372/7792707. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (^x.x))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 88373/7792833. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(^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. ------ 88374/7792995. ------ 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. ------ 88375/7793022. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a b)(a (^y.a))) 6. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 88376/7793031. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 88377/7793058. ------ 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.(^x2.x2))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(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. ------ 88378/7793193. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^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. ------ 88379/7793310. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a (^z.z)) a)) REDUCED to normal form. ------ 88380/7793337. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a a)(a (a a)))) 3. ==[ beta ]==> ((b a)((a a)(a (a a)))) REDUCED to normal form. ------ 88381/7793355. ------ 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. ------ 88382/7793382. ------ 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))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(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. ------ 88383/7793436. ------ 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.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1) 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. ------ 88384/7793517. ------ 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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 88385/7793526. ------ 1. ==[ start ]==> (((a b)(^c.a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (a (^y.y)))) REDUCED to normal form. ------ 88386/7793553. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(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. ------ 88387/7793580. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (a (a a)))) REDUCED to normal form. ------ 88388/7793634. ------ 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 (^y1.y1))(a (^z1.z1)))) REDUCED to normal form. ------ 88389/7793661. ------ 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 (^x.x))((a a) a)) REDUCED to normal form. ------ 88390/7793697. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a a) b)(a (^y.y))) 6. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 88391/7793724. ------ 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))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 88392/7793751. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(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. ------ 88393/7793778. ------ 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. ------ 88394/7793805. ------ 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)) REDUCED to normal form. ------ 88395/7793832. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a) c)) REDUCED to normal form. ------ 88396/7793859. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a) a)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a) a)) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 88397/7793886. ------ 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.(^y1.y1)) b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 88398/7793967. ------ 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.(^y1.y1)))) REDUCED to normal form. ------ 88399/7793994. ------ 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. ------ 88400/7794021. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a) b)) REDUCED to normal form. ------ 88401/7794057. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 88402/7795005. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 88403/7801161. ------ 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)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 88404/7801182. ------ 1. ==[ start ]==> (((a a) b)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 88405/7801350. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)((a a) a))) 3. ==[ eta ]==> ((^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. ------ 88406/7801845. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 88407/7801848. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 88408/7802181. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 88409/7802403. ------ 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. ------ 88410/7802736. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 88411/7803099. ------ 1. ==[ start ]==> (((a b) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 88412/7804185. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)((a a)(^z.z)))((a a)((a a)(^z.z))))(^y.y)) 4. ==[ alpha ]==> ((((a a)((a a)(^x.x)))((a a)((a a)(^y.y))))(^z.z)) REDUCED to normal form. ------ 88413/7804701. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 88414/7805367. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 88415/7805772. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z))) 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. ------ 88416/7806312. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.((a a) a))) REDUCED to normal form. ------ 88417/7806381. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88418/7806483. ------ 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. ------ 88419/7807041. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 88420/7807149. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a (a a)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a (a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 88421/7807257. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 88422/7807536. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 88423/7807671. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.c)) 3. ==[ beta ]==> ((b (a a))(^y.c)) 4. ==[ alpha ]==> ((b (a a))(^x.c)) REDUCED to normal form. ------ 88424/7807695. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b (a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b (a a))) 3. ==[ beta ]==> (((b (a a))(b (a a)))((b (a a))(b (a a)))) REDUCED to normal form. ------ 88425/7807917. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 88426/7807971. ------ 1. ==[ start ]==> (((^a.a) b)((^b.a)(^a.(^a.(^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))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 88427/7807998. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 88428/7808007. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b ((^y.y) b))) 3. ==[ beta ]==> ((a (a (^x.x)))(b b)) REDUCED to normal form. ------ 88429/7808025. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a a) b)(^y.(a a))) 4. ==[ alpha ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 88430/7808070. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^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. ------ 88431/7808142. ------ 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. ------ 88432/7808169. ------ 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 (^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. ------ 88433/7808196. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b)((a a) a))) 3. ==[ beta ]==> ((a a)((a b)((a a) a))) REDUCED to normal form. ------ 88434/7808349. ------ 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))) REDUCED to normal form. ------ 88435/7808475. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((((a a)(^y.y))(^z.(z z)))(((a a)(^y.y))(^z.(z z)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 88436/7808502. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 88437/7808538. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b)((a a) a))) 3. ==[ beta ]==> ((a b)((^y.b)((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.b)((a a) a))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 88438/7808556. ------ 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 ]==> (((^y.y)(^y.y))(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.b))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^z.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. ------ 88439/7808583. ------ 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. ------ 88440/7808592. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 88441/7808619. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 88442/7808646. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(b a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 88443/7808664. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(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. ------ 88444/7808673. ------ 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. ------ 88445/7808691. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 88446/7808916. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))(^b.(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. ------ 88447/7808997. ------ 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))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 88448/7809024. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(^b.b))) 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))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 88449/7809042. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z) 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. ------ 88450/7809114. ------ 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)(^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. ------ 88451/7809141. ------ 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. ------ 88452/7809168. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b)((^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. ------ 88453/7809195. ------ 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. ------ 88454/7809222. ------ 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)((^y.y)(a b))) 8. ==[ alpha ]==> ((a a)((^x.x)(a b))) 9. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 88455/7809249. ------ 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. ------ 88456/7809375. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(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. ------ 88457/7809420. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^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))) REDUCED to normal form. ------ 88458/7809447. ------ 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.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(z1 z1)))) 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. ------ 88459/7809456. ------ 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. ------ 88460/7809483. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 88461/7809510. ------ 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) REDUCED to normal form. ------ 88462/7809537. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 88463/7809564. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 88464/7809582. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 88465/7809753. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 88466/7809942. ------ 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. ------ 88467/7809960. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 88468/7810167. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) 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)))) 5. ==[ beta ]==> (((a a)(a b))(a (a a))) REDUCED to normal form. ------ 88469/7810194. ------ 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)))) REDUCED to normal form. ------ 88470/7810221. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a)(b a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)(b a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(b a))) 5. ==[ beta ]==> ((a (^y.y))((a a)(b a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(b a))) REDUCED to normal form. ------ 88471/7810320. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 88472/7810365. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)(^b.(^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 a) REDUCED to normal form. ------ 88473/7810392. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 88474/7810446. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 9. ==[ beta ]==> (a (^y.(a a))) 10. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 88475/7810527. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 88476/7810590. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a))(^b.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. ------ 88477/7810617. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 88478/7810671. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 88479/7810698. ------ 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 x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.b))) 7. ==[ beta ]==> (((^y.(y y))(^z.b))((^y.(y y))(^z.b))) 8. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(^x1.b))) 9. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(^x1.b))) 10. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.b))) 11. ==[ beta ]==> (b ((^z.(z z))(^x1.b))) 12. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 13. ==[ beta ]==> (b ((^y.b)(^y.b))) 14. ==[ alpha ]==> (b ((^x.b)(^y.b))) 15. ==[ beta ]==> (b b) REDUCED to normal form. ------ 88480/7810725. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.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. ------ 88481/7810752. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 88482/7810815. ------ 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)(a a))(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 88483/7810842. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(a (^y.y)))) REDUCED to normal form. ------ 88484/7810869. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a 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. ------ 88485/7810896. ------ 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) 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. ------ 88486/7810923. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)((^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. ------ 88487/7810950. ------ 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. ------ 88488/7810968. ------ 1. ==[ start ]==> (((^a.b) c)(d (^a.b))) 2. ==[ alpha ]==> (((^x.b) c)(d (^y.b))) 3. ==[ beta ]==> (b (d (^y.b))) 4. ==[ alpha ]==> (b (d (^x.b))) REDUCED to normal form. ------ 88489/7810977. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (a b))) REDUCED to normal form. ------ 88490/7811004. ------ 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 (^x.x))(a a))) REDUCED to normal form. ------ 88491/7811031. ------ 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. ------ 88492/7811067. ------ 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.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.y1))) 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. ------ 88493/7811202. ------ 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 a))(^z.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 88494/7811211. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a b) c)(((a a) a)((a a) a))) REDUCED to normal form. ------ 88495/7811238. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.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. ------ 88496/7811265. ------ 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.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. ------ 88497/7811310. ------ 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.x1)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1)) 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. ------ 88498/7811319. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^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. ------ 88499/7811346. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(a a))(^a.(^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. ------ 88500/7811364. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a b) c)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b) c)) REDUCED to normal form. ------ 88501/7811400. ------ 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.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88502/7811427. ------ 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.(^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. ------ 88503/7811454. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 88504/7811481. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 88505/7811508. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^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. ------ 88506/7811544. ------ 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. ------ 88507/7811571. ------ 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))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a)(a a))) REDUCED to normal form. ------ 88508/7811598. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 88509/7811625. ------ 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. ------ 88510/7811652. ------ 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)(^z1.z1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a (a a)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (a a)))) 9. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 10. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 11. ==[ beta ]==> ((^y.y)(a (a a))) 12. ==[ alpha ]==> ((^x.x)(a (a a))) 13. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 88511/7811679. ------ 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)(^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. ------ 88512/7811706. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 88513/7811733. ------ 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.z))(a b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 88514/7811760. ------ 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. ------ 88515/7811877. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(y1 y1)))) 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. ------ 88516/7811958. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((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. ------ 88517/7812021. ------ 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)(^x.x)) b)(a a)) REDUCED to normal form. ------ 88518/7812066. ------ 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. ------ 88519/7812129. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 8. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 88520/7812156. ------ 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. ------ 88521/7812210. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(^b.(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. ------ 88522/7812228. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (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. ------ 88523/7812354. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(b a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(b a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(b a))(a (^x.x))) REDUCED to normal form. ------ 88524/7812381. ------ 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 (^z.z))((a a) a))) REDUCED to normal form. ------ 88525/7812408. ------ 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. ------ 88526/7812615. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 88527/7812633. ------ 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. ------ 88528/7813011. ------ 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 a))((^y.y)(a a)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a) a)(^z.z))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a) a)(^z.z))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)(^y.y))) 7. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.y))) 8. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 88529/7813020. ------ 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. ------ 88530/7813047. ------ 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 (^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. ------ 88531/7813092. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.(y1 y1)))) 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. ------ 88532/7813101. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.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. ------ 88533/7813128. ------ 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)(^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. ------ 88534/7813155. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a) a)) REDUCED to normal form. ------ 88535/7813200. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88536/7813209. ------ 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))(^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. ------ 88537/7813227. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a)) c)) 2. ==[ alpha ]==> ((a (^x.x))((a (a a)) c)) REDUCED to normal form. ------ 88538/7813272. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (a (a a)))) REDUCED to normal form. ------ 88539/7813299. ------ 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.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b ((^y.y)(^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. ------ 88540/7813326. ------ 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. ------ 88541/7813353. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a a))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^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. ------ 88542/7813380. ------ 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. ------ 88543/7813407. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a)((^x1.x1) 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. ------ 88544/7813434. ------ 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. ------ 88545/7813461. ------ 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)))) 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. ------ 88546/7813506. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^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. ------ 88547/7813551. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 88548/7813578. ------ 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 (^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))(^x2.(x2 x2)))) 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. ------ 88549/7813713. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a)) d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z)) d)) 3. ==[ beta ]==> (b ((a (^z.z)) d)) 4. ==[ alpha ]==> (b ((a (^x.x)) d)) REDUCED to normal form. ------ 88550/7813821. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88551/7813830. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (^z.a))) REDUCED to normal form. ------ 88552/7813857. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 88553/7813884. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 88554/7813902. ------ 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. ------ 88555/7813911. ------ 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))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(a a))) REDUCED to normal form. ------ 88556/7813956. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 88557/7813992. ------ 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. ------ 88558/7814019. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 88559/7814037. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^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. ------ 88560/7814046. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 88561/7814073. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(^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. ------ 88562/7814100. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(z z))) REDUCED to normal form. ------ 88563/7814145. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^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. ------ 88564/7814181. ------ 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. ------ 88565/7814271. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b c)) 3. ==[ beta ]==> ((a (b a))(b c)) REDUCED to normal form. ------ 88566/7814352. ------ 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. ------ 88567/7814379. ------ 1. ==[ start ]==> (((a b)((a a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))(a ((^x.x) a))) 3. ==[ beta ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 88568/7814406. ------ 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))) REDUCED to normal form. ------ 88569/7814433. ------ 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. ------ 88570/7814487. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b b)) REDUCED to normal form. ------ 88571/7814514. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(a c)) 3. ==[ beta ]==> ((b (a a))(a c)) REDUCED to normal form. ------ 88572/7814541. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b (a a))) REDUCED to normal form. ------ 88573/7814577. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 88574/7814711. ------ 1. ==[ start ]==> (^a.((^a.b)(^a.b))) 2. ==[ alpha ]==> (^x.((^y.b)(^z.b))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 88575/7814712. ------ 1. ==[ start ]==> (a ((^a.b)(^a.b))) 2. ==[ alpha ]==> (a ((^x.b)(^y.b))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 88576/7818630. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(^x1.x1)))) 3. ==[ eta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 88577/7819467. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(a x1))) 3. ==[ eta ]==> ((^x.(x (^y.(^z.z)))) a) 4. ==[ beta ]==> (a (^y.(^z.z))) 5. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 88578/7821558. ------ 1. ==[ start ]==> (((^a.b)(^a.b)) a) 2. ==[ alpha ]==> (((^x.b)(^y.b)) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 88579/7821564. ------ 1. ==[ start ]==> ((^a.a)((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.x)((^y.b)(^z.b))) 3. ==[ beta ]==> ((^y.b)(^z.b)) 4. ==[ alpha ]==> ((^x.b)(^y.b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 88580/7821618. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 88581/7821699. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.y1))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 88582/7821738. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^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. ------ 88583/7821816. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((b a)((^z.z) a))) 3. ==[ beta ]==> (^y.((b a)((^z.z) a))) 4. ==[ alpha ]==> (^x.((b a)((^y.y) a))) 5. ==[ beta ]==> (^x.((b a) a)) REDUCED to normal form. ------ 88584/7822059. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 88585/7822404. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 88586/7822737. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^z.b)) REDUCED to normal form. ------ 88587/7823034. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(a (^a.(^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))))) REDUCED to normal form. ------ 88588/7823349. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(a (^a.(^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))))) REDUCED to normal form. ------ 88589/7823454. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.(a a))(^z.(z z))) b) 4. ==[ alpha ]==> (((^x.(a a))(^y.(y y))) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 88590/7823655. ------ 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. ------ 88591/7823841. ------ 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. ------ 88592/7823943. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 88593/7824048. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.b)(a (a a)))((^z.b)(a (a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)(a (a a)))((^z.b)(a (a a))))) 5. ==[ beta ]==> (((^y.b)(a (a a)))((^z.b)(a (a a)))) 6. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.b)(a (a a)))) 7. ==[ beta ]==> (b ((^y.b)(a (a a)))) 8. ==[ alpha ]==> (b ((^x.b)(a (a a)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 88594/7824723. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((b (^z.(^x1.x1)))(b (^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((b (^x.(^y.y)))(b (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 88595/7825239. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 88596/7825479. ------ 1. ==[ start ]==> ((^a.(b a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(a (^y.(^z.z)))) 3. ==[ eta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 88597/7825482. ------ 1. ==[ start ]==> ((a (b a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 88598/7825923. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^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. ------ 88599/7826028. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 88600/7826130. ------ 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. ------ 88601/7826316. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(a b))) 3. ==[ beta ]==> (((^x1.x1)(a b))(^y.(^z.z))) 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. ------ 88602/7826319. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(a z))) 3. ==[ eta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 88603/7826850. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.a))) REDUCED to normal form. ------ 88604/7827021. ------ 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. ------ 88605/7827234. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 88606/7827570. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(a (a a)))) 5. ==[ beta ]==> (b (^y.(a (a a)))) 6. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 88607/7827687. ------ 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 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(z z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 88608/7827912. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 88609/7827993. ------ 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. ------ 88610/7828074. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 88611/7828209. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(a (^z.z)))) 3. ==[ beta ]==> ((b (a a))(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((b (a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 88612/7828233. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1)))(((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1)))(((^x2.(^y2.y2))(^z2.z2))((^x3.(^y3.y3))(^z3.z3)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.z1)))(((^x2.(^y2.y2))(^z2.z2))((^x3.(^y3.y3))(^z3.z3)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.x1)))(((^y1.(^z1.z1))(^x2.x2))((^y2.(^z2.z2))(^x3.x3)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))(((^y1.(^z1.z1))(^x2.x2))((^y2.(^z2.z2))(^x3.x3)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.(^y1.y1))(^z1.z1))((^x2.(^y2.y2))(^z2.z2)))) 9. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.z1))((^x2.(^y2.y2))(^z2.z2)))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2)))) 11. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 13. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 15. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 16. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88613/7828272. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 88614/7828407. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 88615/7828419. ------ 1. ==[ start ]==> ((a a)((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 88616/7828473. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 88617/7828527. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 88618/7828554. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.a))(^b.b))) 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. ------ 88619/7828563. ------ 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. ------ 88620/7828590. ------ 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)(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. ------ 88621/7828617. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(a a))) 5. ==[ beta ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 88622/7828626. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 88623/7828644. ------ 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 (^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. ------ 88624/7828671. ------ 1. ==[ start ]==> ((a (^b.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((b a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.a))((b a) a)) REDUCED to normal form. ------ 88625/7828752. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.a)((a b)((a a) a))) 4. ==[ alpha ]==> ((^x.a)((a b)((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 88626/7828779. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^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. ------ 88627/7828833. ------ 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. ------ 88628/7828860. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^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. ------ 88629/7828914. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y) b))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a) b)) REDUCED to normal form. ------ 88630/7828959. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.b)(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. ------ 88631/7828986. ------ 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. ------ 88632/7829004. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 88633/7829085. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) 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. ------ 88634/7829112. ------ 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. ------ 88635/7829139. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(a a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 88636/7829166. ------ 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. ------ 88637/7829220. ------ 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. ------ 88638/7829256. ------ 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)))((^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. ------ 88639/7829283. ------ 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))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 88640/7829310. ------ 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. ------ 88641/7829328. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((b a) c)) 3. ==[ beta ]==> ((b b)((b a) c)) REDUCED to normal form. ------ 88642/7829589. ------ 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 (^y.y))(a (^y.y)))(a ((^z.z) 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. ------ 88643/7829598. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 88644/7829625. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 8. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 88645/7829832. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((a a)(^z1.z1)))) 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. ------ 88646/7829886. ------ 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)(^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. ------ 88647/7829922. ------ 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))) REDUCED to normal form. ------ 88648/7829949. ------ 1. ==[ start ]==> ((((a a) a) a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 88649/7830003. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 88650/7830030. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 88651/7830057. ------ 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. ------ 88652/7830084. ------ 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.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. ------ 88653/7830111. ------ 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. ------ 88654/7830147. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 88655/7830174. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 88656/7830201. ------ 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))))) 5. ==[ beta ]==> ((a (a (a a)))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 88657/7830228. ------ 1. ==[ start ]==> (((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))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 88658/7830309. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 88659/7830480. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (b a))) 3. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 88660/7830507. ------ 1. ==[ start ]==> (((^a.a)(a b))(a (a (^a.(^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. ------ 88661/7830516. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 88662/7830534. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 88663/7830570. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 88664/7830588. ------ 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) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)((^y.y) a))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)((^x.x) a))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((a a) a)) REDUCED to normal form. ------ 88665/7830669. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 88666/7830696. ------ 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. ------ 88667/7830795. ------ 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. ------ 88668/7830867. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a))(^b.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. ------ 88669/7830876. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 88670/7830903. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 88671/7831083. ------ 1. ==[ start ]==> (((a b) b)((b a) a)) REDUCED to normal form. ------ 88672/7831110. ------ 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. ------ 88673/7831137. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a) c)) REDUCED to normal form. ------ 88674/7831290. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(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. ------ 88675/7831578. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 88676/7831758. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a b) c)((a (a a))(^x.a))) REDUCED to normal form. ------ 88677/7831785. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 88678/7831812. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 88679/7831866. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 88680/7831893. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a (^x.b))((a a) b)) REDUCED to normal form. ------ 88681/7832307. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (^y.(a a)))) REDUCED to normal form. ------ 88682/7832334. ------ 1. ==[ start ]==> ((a (b a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 88683/7832568. ------ 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)(^x.x)) b)((a a) a)) REDUCED to normal form. ------ 88684/7832775. ------ 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 ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 88685/7832784. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 88686/7832811. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.b) b)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.b) b)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.b) b)) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 88687/7832883. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 88688/7832955. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (^z.b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (^z.b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.b))) 5. ==[ beta ]==> ((a (a a))(b (^y.b))) 6. ==[ alpha ]==> ((a (a a))(b (^x.b))) REDUCED to normal form. ------ 88689/7832982. ------ 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. ------ 88690/7833009. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.b)(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(a a))) 5. ==[ beta ]==> (((a a) a)((^y.b)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(a a))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 88691/7833063. ------ 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. ------ 88692/7833090. ------ 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 z))(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (a a)))) 7. ==[ beta ]==> (((a a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 88693/7833117. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 88694/7833162. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)(^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88695/7833171. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a b))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a b)) REDUCED to normal form. ------ 88696/7833342. ------ 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. ------ 88697/7833450. ------ 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))((^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. ------ 88698/7833477. ------ 1. ==[ start ]==> (((^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 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. ------ 88699/7833504. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(^y1.y1)))) 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. ------ 88700/7833567. ------ 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. ------ 88701/7833594. ------ 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))(^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. ------ 88702/7833648. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 88703/7833675. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 88704/7833702. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(^z.a))) REDUCED to normal form. ------ 88705/7833756. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1) b)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 88706/7833792. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 88707/7833819. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.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. ------ 88708/7833846. ------ 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.(^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. ------ 88709/7834008. ------ 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)))) 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. ------ 88710/7834053. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^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. ------ 88711/7834062. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(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. ------ 88712/7834089. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((a b)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 88713/7834260. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 88714/7834368. ------ 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. ------ 88715/7834377. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 88716/7834422. ------ 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. ------ 88717/7834458. ------ 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. ------ 88718/7834539. ------ 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 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.(a a))((a a)(^y.(y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 88719/7834566. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a)) a)) REDUCED to normal form. ------ 88720/7834593. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a) b)) 3. ==[ beta ]==> (((a b)(^x.a))(a b)) REDUCED to normal form. ------ 88721/7834620. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1)) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z)) c)) REDUCED to normal form. ------ 88722/7834692. ------ 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. ------ 88723/7834701. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 88724/7834728. ------ 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. ------ 88725/7834764. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a (^y.(y y)))) 3. ==[ beta ]==> (((a a) b)(a (^y.(y y)))) 4. ==[ alpha ]==> (((a a) b)(a (^x.(x x)))) REDUCED to normal form. ------ 88726/7834791. ------ 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) REDUCED to normal form. ------ 88727/7834818. ------ 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)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 88728/7834845. ------ 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. ------ 88729/7834872. ------ 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)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a 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. ------ 88730/7834899. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^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. ------ 88731/7834926. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.a)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.a)) REDUCED to normal form. ------ 88732/7834980. ------ 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. ------ 88733/7835034. ------ 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))(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. ------ 88734/7835061. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(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)))) 5. ==[ beta ]==> ((b (a a))(a (^y.y))) 6. ==[ alpha ]==> ((b (a a))(a (^x.x))) REDUCED to normal form. ------ 88735/7835088. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 88736/7835124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 88737/7835259. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 88738/7842114. ------ 1. ==[ start ]==> (((^a.b)(^a.b)) b) 2. ==[ alpha ]==> (((^x.b)(^y.b)) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 88739/7842138. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88740/7842303. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(^c.(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. ------ 88741/7842312. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((y y)(y y)))) REDUCED to normal form. ------ 88742/7842624. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (^z.z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 88743/7842723. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((b a)(^y.a))) 3. ==[ beta ]==> (((b a)(^y.a))(((b a)(^y.a))((b a)(^y.a)))) 4. ==[ alpha ]==> (((b a)(^x.a))(((b a)(^y.a))((b a)(^z.a)))) REDUCED to normal form. ------ 88744/7842948. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^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. ------ 88745/7843302. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 88746/7843311. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.((^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. ------ 88747/7843839. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 88748/7844220. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 88749/7844229. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 88750/7844613. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(((a b)(^z.(z z)))((a b)(^z.(z z))))) 4. ==[ alpha ]==> ((^x.x)(((a b)(^y.(y y)))((a b)(^z.(z z))))) 5. ==[ beta ]==> (((a b)(^y.(y y)))((a b)(^z.(z z)))) 6. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 88751/7844787. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 88752/7845570. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^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))) REDUCED to normal form. ------ 88753/7846488. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.(^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. ------ 88754/7846497. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 88755/7846881. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^x1.b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 88756/7846893. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(a y1))) 3. ==[ eta ]==> (((^x.x)(^y.(^z.(^x1.x1)))) a) 4. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 5. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 6. ==[ beta ]==> (^y.(^z.z)) 7. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 88757/7847271. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.b))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.b))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.b))) REDUCED to normal form. ------ 88758/7847484. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^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. ------ 88759/7847799. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 88760/7848144. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 88761/7848162. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.(^b.(^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. ------ 88762/7848639. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.c)) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 88763/7848774. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.(^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. ------ 88764/7848798. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (^y.y)) a)) 3. ==[ beta ]==> ((((a (^y.y)) a)((a (^y.y)) a))(((a (^y.y)) a)((a (^y.y)) a))) 4. ==[ alpha ]==> ((((a (^x.x)) a)((a (^y.y)) a))(((a (^z.z)) a)((a (^x1.x1)) a))) REDUCED to normal form. ------ 88765/7848837. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.(^a.(^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. ------ 88766/7848972. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 88767/7849002. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.b))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 88768/7849056. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))(^c.(^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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 88769/7849137. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 88770/7849146. ------ 1. ==[ start ]==> (((a a) b)(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)(b ((^x.x) b))) 3. ==[ beta ]==> (((a a) b)(b b)) REDUCED to normal form. ------ 88771/7849173. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a ((a a)(a a)))) REDUCED to normal form. ------ 88772/7849200. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 88773/7849227. ------ 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 (^y1.y1)))) REDUCED to normal form. ------ 88774/7849281. ------ 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. ------ 88775/7849362. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(a b))) REDUCED to normal form. ------ 88776/7849389. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)((^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. ------ 88777/7849416. ------ 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. ------ 88778/7849443. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (b a))) REDUCED to normal form. ------ 88779/7849470. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 88780/7849488. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 88781/7849533. ------ 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. ------ 88782/7849560. ------ 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. ------ 88783/7849587. ------ 1. ==[ start ]==> ((a (a (a a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))((b a)(^x.a))) REDUCED to normal form. ------ 88784/7849623. ------ 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. ------ 88785/7849677. ------ 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 ]==> (((^y.y)(^y.y))((^z.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.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. ------ 88786/7849731. ------ 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.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. ------ 88787/7849785. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(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. ------ 88788/7849812. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^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. ------ 88789/7849830. ------ 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. ------ 88790/7849857. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^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. ------ 88791/7849884. ------ 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. ------ 88792/7849911. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a) c)) REDUCED to normal form. ------ 88793/7849947. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 88794/7849974. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^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. ------ 88795/7850145. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (a (^a.(^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. ------ 88796/7850163. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(^b.b))) 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))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 88797/7850172. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 88798/7850199. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((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)) REDUCED to normal form. ------ 88799/7850460. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a (b (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 88800/7850622. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.b)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 88801/7850703. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.b))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.b))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.b))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.b))((a a)(a a))) REDUCED to normal form. ------ 88802/7850775. ------ 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. ------ 88803/7850802. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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)) REDUCED to normal form. ------ 88804/7850829. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((b a) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((b a) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a) b)) 5. ==[ beta ]==> ((a (^y.y))((b a) b)) 6. ==[ alpha ]==> ((a (^x.x))((b a) b)) REDUCED to normal form. ------ 88805/7850892. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 88806/7850973. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.b))) IRREDUCIBLE: cycle. ------ 88807/7851036. ------ 1. ==[ start ]==> ((((a a) a) b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 88808/7851063. ------ 1. ==[ start ]==> (((a b) a)(b (b a))) REDUCED to normal form. ------ 88809/7851081. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))((^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. ------ 88810/7851090. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 88811/7851144. ------ 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 (^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. ------ 88812/7851171. ------ 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) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 88813/7851198. ------ 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. ------ 88814/7851225. ------ 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)(^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. ------ 88815/7851252. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a b)(^x.x))((a a) a)) REDUCED to normal form. ------ 88816/7851396. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((b a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)((b a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((b a)(^y.y))) 7. ==[ beta ]==> (a ((b a)(^y.y))) 8. ==[ alpha ]==> (a ((b a)(^x.x))) REDUCED to normal form. ------ 88817/7851423. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 88818/7851450. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a))(^b.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. ------ 88819/7851477. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a 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. ------ 88820/7851486. ------ 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. ------ 88821/7851513. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 88822/7851567. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a b))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 7. ==[ beta ]==> ((^y.(y y))(a b)) 8. ==[ alpha ]==> ((^x.(x x))(a b)) 9. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 88823/7851648. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 88824/7851729. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a))(^b.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. ------ 88825/7851864. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.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. ------ 88826/7851873. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 88827/7851900. ------ 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. ------ 88828/7851963. ------ 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))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 88829/7851990. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(a a)) c)) 3. ==[ beta ]==> ((a ((a a) a))((^y.(a a)) c)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(a a)) c)) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 88830/7852089. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)((a (a a))((a a) a))) 3. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 88831/7852323. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 88832/7852404. ------ 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.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. ------ 88833/7852431. ------ 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)(^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. ------ 88834/7852485. ------ 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 a)) REDUCED to normal form. ------ 88835/7852566. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 88836/7852719. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(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 a)) REDUCED to normal form. ------ 88837/7852746. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.b) c)) 3. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 88838/7852998. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (b ((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 88839/7853079. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.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. ------ 88840/7853187. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.b)(^a.(^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. ------ 88841/7853268. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a b)(a b))(^y.y)) 8. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 88842/7853331. ------ 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. ------ 88843/7853349. ------ 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. ------ 88844/7853358. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 88845/7853385. ------ 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. ------ 88846/7853412. ------ 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)(a (^x1.x1)))) REDUCED to normal form. ------ 88847/7853583. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a b)(^z.z))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.x)((a 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. ------ 88848/7853610. ------ 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) 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. ------ 88849/7853637. ------ 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. ------ 88850/7853664. ------ 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.(z z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a 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. ------ 88851/7853691. ------ 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.(^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. ------ 88852/7853745. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.b))) REDUCED to normal form. ------ 88853/7853754. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(a b))) 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)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 88854/7853835. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(^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. ------ 88855/7853916. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^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. ------ 88856/7854033. ------ 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. ------ 88857/7854060. ------ 1. ==[ start ]==> (((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 a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (a (a a)))) REDUCED to normal form. ------ 88858/7854078. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c (^b.(^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. ------ 88859/7854132. ------ 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 ]==> ((((^y.y)(a a))((^y.y)(a a)))(a (^z.b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (^z.b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (^z.b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (^y.b))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.b))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.b))) REDUCED to normal form. ------ 88860/7854213. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))((^y1.y1) 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. ------ 88861/7854348. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^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. ------ 88862/7854474. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(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)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 88863/7854501. ------ 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. ------ 88864/7854528. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(z z)) c)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z)) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y)) c)) 5. ==[ beta ]==> (((a b)(^x.x))(c c)) REDUCED to normal form. ------ 88865/7854636. ------ 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))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 88866/7854663. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 88867/7854672. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 88868/7854699. ------ 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)((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)((^z1.a)((^x2.x2) 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. ------ 88869/7854834. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 88870/7854951. ------ 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. ------ 88871/7854978. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 88872/7854996. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.(y y)))) 5. ==[ beta ]==> (b (b (^y.(y y)))) 6. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 88873/7855005. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 88874/7855023. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 88875/7855077. ------ 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) REDUCED to normal form. ------ 88876/7855158. ------ 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))) 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. ------ 88877/7855167. ------ 1. ==[ start ]==> (((a b)(^c.a))(d (a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(d (a a))) REDUCED to normal form. ------ 88878/7855194. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c (a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c (a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (a (^z.z)))) REDUCED to normal form. ------ 88879/7855221. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(b a)) REDUCED to normal form. ------ 88880/7855275. ------ 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. ------ 88881/7855302. ------ 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. ------ 88882/7855365. ------ 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)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 88883/7855392. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a))(^a.(^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. ------ 88884/7855419. ------ 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. ------ 88885/7855446. ------ 1. ==[ start ]==> ((((^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)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1) 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. ------ 88886/7855473. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x)) b)) REDUCED to normal form. ------ 88887/7855500. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a) c)) REDUCED to normal form. ------ 88888/7855527. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a) a)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 88889/7855554. ------ 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. ------ 88890/7855608. ------ 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))(^y1.y1))) REDUCED to normal form. ------ 88891/7855635. ------ 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. ------ 88892/7855662. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x)) a)) REDUCED to normal form. ------ 88893/7855698. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 88894/7855833. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 88895/7859769. ------ 1. ==[ start ]==> ((^a.(b a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.((^z.z)(a a)))) 3. ==[ eta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 88896/7862697. ------ 1. ==[ start ]==> (((^a.b)(^a.b)) c) 2. ==[ alpha ]==> (((^x.b)(^y.b)) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 88897/7862904. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(a a)))) REDUCED to normal form. ------ 88898/7862973. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1))) c)) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 88899/7863045. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 88900/7863540. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 88901/7863903. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 88902/7864098. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(a b))(((^y.y)(^z.z))(a b)))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(a b)))(((^y1.y1)(^z1.z1))(a b))) 5. ==[ beta ]==> ((((^y.y)(a b))(((^z.z)(^x1.x1))(a b)))(((^y1.y1)(^z1.z1))(a b))) 6. ==[ alpha ]==> ((((^x.x)(a b))(((^y.y)(^z.z))(a b)))(((^x1.x1)(^y1.y1))(a b))) 7. ==[ beta ]==> (((a b)(((^y.y)(^z.z))(a b)))(((^x1.x1)(^y1.y1))(a b))) 8. ==[ alpha ]==> (((a b)(((^x.x)(^y.y))(a b)))(((^z.z)(^x1.x1))(a b))) 9. ==[ beta ]==> (((a b)((^y.y)(a b)))(((^z.z)(^x1.x1))(a b))) 10. ==[ alpha ]==> (((a b)((^x.x)(a b)))(((^y.y)(^z.z))(a b))) 11. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))(a b))) 12. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(a b))) 13. ==[ beta ]==> (((a b)(a b))((^y.y)(a b))) 14. ==[ alpha ]==> (((a b)(a b))((^x.x)(a b))) 15. ==[ beta ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 88903/7864227. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(^b.b))) 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. ------ 88904/7864431. ------ 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. ------ 88905/7864821. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 88906/7865379. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 88907/7865388. ------ 1. ==[ start ]==> (((a b) b)(^b.(b a))) 2. ==[ alpha ]==> (((a b) b)(^x.(x a))) REDUCED to normal form. ------ 88908/7865667. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(b y))) 3. ==[ eta ]==> (((a a)((^x.x)(a a))) b) 4. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 88909/7865880. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((((a (^z.z))((^x1.x1)(a a)))((a (^z.z))((^x1.x1)(a a))))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))((^y.y)(a a)))((a (^z.z))((^x1.x1)(a a))))(^y1.y1)) 5. ==[ beta ]==> ((((a (^x.x))(a a))((a (^z.z))((^x1.x1)(a a))))(^y1.y1)) 6. ==[ alpha ]==> ((((a (^x.x))(a a))((a (^y.y))((^z.z)(a a))))(^x1.x1)) 7. ==[ beta ]==> ((((a (^x.x))(a a))((a (^y.y))(a a)))(^x1.x1)) 8. ==[ alpha ]==> ((((a (^x.x))(a a))((a (^y.y))(a a)))(^z.z)) REDUCED to normal form. ------ 88910/7866171. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 88911/7866423. ------ 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 z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 88912/7866636. ------ 1. ==[ start ]==> ((^a.(b a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a a)((^y.y)(a a)))) 3. ==[ eta ]==> (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. ------ 88913/7866639. ------ 1. ==[ start ]==> ((a (b a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (b a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((a (b a))(^x.(a a))) REDUCED to normal form. ------ 88914/7866873. ------ 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)(^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 88915/7867089. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 88916/7867287. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(a b))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(a b))) REDUCED to normal form. ------ 88917/7867872. ------ 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. ------ 88918/7868076. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88919/7868205. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.((z z) z))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.((z z) z))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 88920/7868358. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^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. ------ 88921/7868763. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 88922/7868871. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 88923/7869069. ------ 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)(^x.a)) REDUCED to normal form. ------ 88924/7869258. ------ 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.y1) x1))) 3. ==[ eta ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^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)(^y.y))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 88925/7869429. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 88926/7869564. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 88927/7869612. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.b))) 3. ==[ beta ]==> (a ((^y.b)(^z.b))) 4. ==[ alpha ]==> (a ((^x.b)(^y.b))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 88928/7869666. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))(^c.(^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. ------ 88929/7869720. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 88930/7869747. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 88931/7869819. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 88932/7869846. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 88933/7869864. ------ 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. ------ 88934/7869891. ------ 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. ------ 88935/7869918. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((a a)((^y.y)(^z.z)))) 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. ------ 88936/7870107. ------ 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) 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. ------ 88937/7870179. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 88938/7870197. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(^z.a))) 3. ==[ beta ]==> ((^y.(y y))((b a)(^z.a))) 4. ==[ alpha ]==> ((^x.(x x))((b a)(^y.a))) 5. ==[ beta ]==> (((b a)(^y.a))((b a)(^y.a))) 6. ==[ alpha ]==> (((b a)(^x.a))((b a)(^y.a))) REDUCED to normal form. ------ 88939/7870224. ------ 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))(^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. ------ 88940/7870260. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 88941/7870278. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.a))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.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. ------ 88942/7870287. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)((a a) a))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 88943/7870305. ------ 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. ------ 88944/7870332. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 88945/7870341. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 88946/7870368. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 88947/7870395. ------ 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. ------ 88948/7870413. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 88949/7870503. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 88950/7870638. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.b))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 88951/7870665. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(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. ------ 88952/7870692. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 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. ------ 88953/7870746. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 88954/7870773. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a)(^b.b))) 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. ------ 88955/7870836. ------ 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)))) 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. ------ 88956/7870863. ------ 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. ------ 88957/7870890. ------ 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. ------ 88958/7870917. ------ 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. ------ 88959/7870944. ------ 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. ------ 88960/7870971. ------ 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))((^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. ------ 88961/7871097. ------ 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. ------ 88962/7871124. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 88963/7871142. ------ 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. ------ 88964/7871169. ------ 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 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. ------ 88965/7871178. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.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. ------ 88966/7871205. ------ 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. ------ 88967/7871223. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 88968/7871232. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 88969/7871286. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 88970/7871304. ------ 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. ------ 88971/7871475. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 88972/7871637. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.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. ------ 88973/7871691. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 88974/7871709. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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 ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 88975/7871889. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))(a b))) REDUCED to normal form. ------ 88976/7871916. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(a (a a))) REDUCED to normal form. ------ 88977/7871943. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 88978/7871970. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a)(b a))) REDUCED to normal form. ------ 88979/7872042. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 88980/7872087. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((^y.(a a))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.(a a))((a b)(^y.(y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 88981/7872114. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 88982/7872168. ------ 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. ------ 88983/7872258. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(b a))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(b a))) 3. ==[ beta ]==> (((a b) b)(b a)) REDUCED to normal form. ------ 88984/7872303. ------ 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)) REDUCED to normal form. ------ 88985/7872312. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(^a.a))(^a.(^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. ------ 88986/7872330. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 88987/7872339. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a))(^b.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. ------ 88988/7872393. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a)(^b.(^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. ------ 88989/7872420. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 88990/7872447. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.b)(^z.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b)(^z.b))) 5. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 88991/7872474. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 88992/7872537. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a (b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (b a))) 3. ==[ beta ]==> (((a a)(a a))(a (b a))) REDUCED to normal form. ------ 88993/7872564. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 88994/7872591. ------ 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 (^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(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. ------ 88995/7872618. ------ 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) 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. ------ 88996/7872645. ------ 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 (a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 88997/7872672. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^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)((^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. ------ 88998/7872699. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))((a a) a))) REDUCED to normal form. ------ 88999/7872726. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(a b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a b))) 5. ==[ beta ]==> (((a a)(a a))(a (a b))) REDUCED to normal form. ------ 89000/7872753. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 89001/7872924. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 89002/7872933. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 89003/7872960. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))((a a) a))) 5. ==[ beta ]==> (((a a) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 89004/7872987. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 89005/7873005. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 89006/7873041. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.z))) REDUCED to normal form. ------ 89007/7873068. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 89008/7873086. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a a) b)) REDUCED to normal form. ------ 89009/7873122. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.b)(^b.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. ------ 89010/7873176. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 89011/7873230. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 89012/7873266. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(b (a a))) REDUCED to normal form. ------ 89013/7873293. ------ 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 (^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. ------ 89014/7873320. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 89015/7873347. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 89016/7873374. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z) a))) 7. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z) a))) 8. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 9. ==[ beta ]==> (((a a) a)((^y.y) a)) 10. ==[ alpha ]==> (((a a) a)((^x.x) a)) 11. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 89017/7873401. ------ 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 (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)))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(a (a a))) REDUCED to normal form. ------ 89018/7873428. ------ 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)(^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. ------ 89019/7873455. ------ 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 a) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 89020/7873482. ------ 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))) REDUCED to normal form. ------ 89021/7873509. ------ 1. ==[ start ]==> ((a (b a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (b a))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> ((a (b a))((a a)(a a))) REDUCED to normal form. ------ 89022/7873599. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a) a)(^b.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. ------ 89023/7873680. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^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. ------ 89024/7873743. ------ 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)(^x.x)) b)((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 89025/7873788. ------ 1. ==[ start ]==> (((^a.a)(b a))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(b a))((a b) b)) 3. ==[ beta ]==> ((b a)((a b) b)) REDUCED to normal form. ------ 89026/7873851. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^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)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 89027/7873878. ------ 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. ------ 89028/7873932. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^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. ------ 89029/7873959. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.(a a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 89030/7874076. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 89031/7874103. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 89032/7874130. ------ 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 (^z.z))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(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. ------ 89033/7874157. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(a b))) REDUCED to normal form. ------ 89034/7874337. ------ 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))((^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. ------ 89035/7874355. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 89036/7874436. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(^x1.x1)) c)) 5. ==[ beta ]==> ((a a)(((^z.z)(^x1.x1)) c)) 6. ==[ alpha ]==> ((a a)(((^x.x)(^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. ------ 89037/7874625. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^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. ------ 89038/7874742. ------ 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. ------ 89039/7874769. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(a a))) 5. ==[ beta ]==> ((^y.b)((^z.a)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 89040/7874814. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (a a))(^b.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. ------ 89041/7874823. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((^z.z) a))) 7. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 89042/7874850. ------ 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 (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 89043/7874877. ------ 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)(^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. ------ 89044/7874922. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 89045/7874949. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.x))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 89046/7875048. ------ 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. ------ 89047/7875075. ------ 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. ------ 89048/7875102. ------ 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. ------ 89049/7875129. ------ 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. ------ 89050/7875156. ------ 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. ------ 89051/7875183. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 89052/7875228. ------ 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))(a (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89053/7875273. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (a a))(^a.(^a.a)))) 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. ------ 89054/7875300. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1) a)(^x2.a))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) a)(^x2.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. ------ 89055/7875435. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 89056/7875543. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(z1 z1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89057/7875579. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c (^b.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. ------ 89058/7875606. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 89059/7875633. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 89060/7875678. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 89061/7875714. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 89062/7875741. ------ 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. ------ 89063/7875759. ------ 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)) REDUCED to normal form. ------ 89064/7875768. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 89065/7875795. ------ 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)(^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. ------ 89066/7875822. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.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. ------ 89067/7875867. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89068/7875903. ------ 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. ------ 89069/7875939. ------ 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))) 5. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 89070/7875993. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c b)) 3. ==[ beta ]==> ((a (b a))(c b)) REDUCED to normal form. ------ 89071/7876020. ------ 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. ------ 89072/7876074. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c (a a))) REDUCED to normal form. ------ 89073/7876101. ------ 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. ------ 89074/7876128. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 89075/7876155. ------ 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. ------ 89076/7876236. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b b)) 3. ==[ beta ]==> ((b (a a))(b b)) REDUCED to normal form. ------ 89077/7876299. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 89078/7876434. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 89079/7876460. ------ 1. ==[ start ]==> (^a.((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (^x.((^y.(x x))(^z.x))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 89080/7876461. ------ 1. ==[ start ]==> (a ((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (a ((^x.(a a))(^y.a))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 89081/7883133. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((^y.(a (^z.z)))(^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)))(^x2.(a (^y2.y2))))) 5. ==[ beta ]==> ((a (^y.y))((^y1.(a (^z1.z1)))(^x2.(a (^y2.y2))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a (^z.z)))(^x1.(a (^y1.y1))))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 89082/7883340. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((^y.(a a))(^z.a)) 4. ==[ alpha ]==> ((^x.(a a))(^y.a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 89083/7883367. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.b))) 3. ==[ beta ]==> (((^y.b)(^z.b))((^y.b)(^z.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(^x1.b))) 5. ==[ beta ]==> (b ((^z.b)(^x1.b))) 6. ==[ alpha ]==> (b ((^x.b)(^y.b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 89084/7883394. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 89085/7883475. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^z.a)(^x1.(^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (a (^y1.y1)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 89086/7883541. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((y y)(y y)))) REDUCED to normal form. ------ 89087/7883592. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 89088/7883835. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 89089/7883934. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a (^y1.y1)))(((^y.(^z.(^x1.x1)))(a (^y1.y1)))((^y.(^z.(^x1.x1)))(a (^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))((^z2.(^x3.(^y3.y3)))(a (^z3.z3))))) 5. ==[ beta ]==> ((^y.(^z.z))(((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))((^z2.(^x3.(^y3.y3)))(a (^z3.z3))))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.(^y1.y1)))(a (^z1.z1)))((^x2.(^y2.(^z2.z2)))(a (^x3.x3))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89090/7884207. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))((^y.y) 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. ------ 89091/7885152. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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))))) REDUCED to normal form. ------ 89092/7885230. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.a)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 89093/7885458. ------ 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)(^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)))) REDUCED to normal form. ------ 89094/7885617. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))((a a) a))(((^z.z)(^x1.x1))((a a) a)))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))((a a) a))(((^x1.x1)(^y1.y1))((a a) a)))) 5. ==[ beta ]==> (^x.(((^z.z)((a a) a))(((^x1.x1)(^y1.y1))((a a) a)))) 6. ==[ alpha ]==> (^x.(((^y.y)((a a) a))(((^z.z)(^x1.x1))((a a) a)))) 7. ==[ beta ]==> (^x.(((a a) a)(((^z.z)(^x1.x1))((a a) a)))) 8. ==[ alpha ]==> (^x.(((a a) a)(((^y.y)(^z.z))((a a) a)))) 9. ==[ beta ]==> (^x.(((a a) a)((^z.z)((a a) a)))) 10. ==[ alpha ]==> (^x.(((a a) a)((^y.y)((a a) a)))) 11. ==[ beta ]==> (^x.(((a a) a)((a a) a))) REDUCED to normal form. ------ 89095/7885746. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 89096/7885824. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.(a a))((^x1.x1) a))((^z.(a a))((^x1.x1) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a))((^z.z) a))((^x1.(a a))((^y1.y1) a)))) 5. ==[ beta ]==> (((^y.(a a))((^z.z) a))((^x1.(a a))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.(a a))((^y.y) a))((^z.(a a))((^x1.x1) a))) 7. ==[ beta ]==> ((a a)((^z.(a a))((^x1.x1) a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 89097/7886007. ------ 1. ==[ start ]==> (((a b) b)(^c.(^d.a))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.a))) REDUCED to normal form. ------ 89098/7886538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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))) REDUCED to normal form. ------ 89099/7886790. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 89100/7887042. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 89101/7887255. ------ 1. ==[ start ]==> ((^a.(b a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(b (^y.(a a)))) 3. ==[ eta ]==> (b (b (^y.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 89102/7887492. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(a a)))) REDUCED to normal form. ------ 89103/7887804. ------ 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))((^x2.x2) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 89104/7887933. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(y y)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 89105/7888092. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^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. ------ 89106/7888824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(^c.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. ------ 89107/7889010. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^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. ------ 89108/7889490. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 89109/7889616. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 89110/7889715. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 89111/7889796. ------ 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.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z) a))) 7. ==[ beta ]==> ((a a)(^y.((^z.z) a))) 8. ==[ alpha ]==> ((a a)(^x.((^y.y) a))) 9. ==[ beta ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 89112/7889877. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 89113/7889958. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.x1))) REDUCED to normal form. ------ 89114/7890009. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((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)))((^y.y)(a (^z.z))))) 4. ==[ alpha ]==> ((((^x.x)(a (^y.y)))((^z.z)(a (^x1.x1))))(((^y1.y1)(a (^z1.z1)))((^x2.x2)(a (^y2.y2))))) 5. ==[ beta ]==> (((a (^y.y))((^z.z)(a (^x1.x1))))(((^y1.y1)(a (^z1.z1)))((^x2.x2)(a (^y2.y2))))) 6. ==[ alpha ]==> (((a (^x.x))((^y.y)(a (^z.z))))(((^x1.x1)(a (^y1.y1)))((^z1.z1)(a (^x2.x2))))) 7. ==[ beta ]==> (((a (^x.x))(a (^z.z)))(((^x1.x1)(a (^y1.y1)))((^z1.z1)(a (^x2.x2))))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a (^x1.x1)))((^y1.y1)(a (^z1.z1))))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^x1.x1))((^y1.y1)(a (^z1.z1))))) 10. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((^x1.x1)(a (^y1.y1))))) 11. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^y1.y1)))) 12. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 89115/7890012. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(a (^y.y)))) REDUCED to normal form. ------ 89116/7890183. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(z z))) 3. ==[ beta ]==> (b (^z.(z z))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 89117/7890222. ------ 1. ==[ start ]==> ((a a)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 89118/7890249. ------ 1. ==[ start ]==> ((a (a a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a (a a))((^x.b)(^y.b))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 89119/7890276. ------ 1. ==[ start ]==> ((a b)((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 89120/7890357. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 89121/7890393. ------ 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)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 89122/7890420. ------ 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)))) REDUCED to normal form. ------ 89123/7890447. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 89124/7890456. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 89125/7890474. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 89126/7890555. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 89127/7890582. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 89128/7890636. ------ 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))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (a ((^y.y)((^z.z)(a a)))) 8. ==[ alpha ]==> (a ((^x.x)((^y.y)(a a)))) 9. ==[ beta ]==> (a ((^y.y)(a a))) 10. ==[ alpha ]==> (a ((^x.x)(a a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 89129/7890663. ------ 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. ------ 89130/7890717. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 89131/7890735. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.y))) 3. ==[ beta ]==> (((a a) a)(b (^y.y))) 4. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 89132/7890789. ------ 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. ------ 89133/7890807. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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)))) REDUCED to normal form. ------ 89134/7890816. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 89135/7890888. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))(^b.(^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. ------ 89136/7890915. ------ 1. ==[ start ]==> (((a (a a)) a)((a b)(^c.a))) 2. ==[ alpha ]==> (((a (a a)) a)((a b)(^x.a))) REDUCED to normal form. ------ 89137/7890942. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.b))) REDUCED to normal form. ------ 89138/7890969. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(a a))) REDUCED to normal form. ------ 89139/7891059. ------ 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 (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 89140/7891086. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^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. ------ 89141/7891113. ------ 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. ------ 89142/7891131. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((b b)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((b b)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 89143/7891140. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 89144/7891392. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (a (^a.(^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. ------ 89145/7891428. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 89146/7891635. ------ 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. ------ 89147/7891689. ------ 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)(^y.a))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(b a))) 5. ==[ beta ]==> (a ((a (^z.z))(b a))) 6. ==[ alpha ]==> (a ((a (^x.x))(b a))) REDUCED to normal form. ------ 89148/7891752. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 89149/7891806. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) REDUCED to normal form. ------ 89150/7891833. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 89151/7891860. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 89152/7891914. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.b)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.b)) REDUCED to normal form. ------ 89153/7891950. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)((a a) a))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a)((a a) a))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 89154/7891977. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 89155/7892004. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (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. ------ 89156/7892031. ------ 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))))) 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. ------ 89157/7892058. ------ 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.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 89158/7892103. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 89159/7892112. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 89160/7892283. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 89161/7892310. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(a b))(b (b a))) 3. ==[ beta ]==> ((a b)(b (b a))) REDUCED to normal form. ------ 89162/7892337. ------ 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 (^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. ------ 89163/7892391. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 89164/7892472. ------ 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) 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. ------ 89165/7892499. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a) a)) REDUCED to normal form. ------ 89166/7892625. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(a (^a.(^a.(^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. ------ 89167/7892670. ------ 1. ==[ start ]==> (((^a.b) b)(((a a)(^a.a))(^a.(^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. ------ 89168/7892679. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 89169/7892706. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 89170/7892913. ------ 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. ------ 89171/7892940. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 89172/7892967. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a) c)) REDUCED to normal form. ------ 89173/7893417. ------ 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)(^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. ------ 89174/7893561. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) c)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) c)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 89175/7893588. ------ 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. ------ 89176/7893615. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.b))) REDUCED to normal form. ------ 89177/7893669. ------ 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. ------ 89178/7893696. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((a (^y.b))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 89179/7893750. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b) c)) 5. ==[ beta ]==> ((^y.(^z.z))((a b) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((a b) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89180/7893894. ------ 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.(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. ------ 89181/7894137. ------ 1. ==[ start ]==> ((a (b a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))(b (^x.(a a)))) REDUCED to normal form. ------ 89182/7894371. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.(a a)))) REDUCED to normal form. ------ 89183/7894578. ------ 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. ------ 89184/7894614. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(a a)) a)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a)) a)) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 89185/7894641. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 89186/7894686. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1) a)) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 89187/7894785. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))(b (^x.b))) REDUCED to normal form. ------ 89188/7894812. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) 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. ------ 89189/7894839. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.b)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 89190/7894866. ------ 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. ------ 89191/7894893. ------ 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))((^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) a)((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 89192/7894920. ------ 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 z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 89193/7894974. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^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. ------ 89194/7895145. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 89195/7895253. ------ 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))(((^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. ------ 89196/7895262. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 89197/7895280. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((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. ------ 89198/7895307. ------ 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)(((^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. ------ 89199/7895361. ------ 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 a))((^y.y)(a a)))((a a)((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)((a a) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)((a a) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)((a a) a))) 7. ==[ beta ]==> (((a a)(a a))((a a)((a a) a))) REDUCED to normal form. ------ 89200/7895397. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(^z.z))) 5. ==[ beta ]==> ((^y.b)(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 89201/7895451. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 89202/7895478. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 89203/7895505. ------ 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.(^y1.y1)))) REDUCED to normal form. ------ 89204/7895559. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a) a) a)) REDUCED to normal form. ------ 89205/7895595. ------ 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))(^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. ------ 89206/7895622. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 89207/7895649. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 89208/7895676. ------ 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. ------ 89209/7895703. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 89210/7895892. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^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. ------ 89211/7896063. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d (a (^z.z)))) 3. ==[ beta ]==> (b (d (a (^z.z)))) 4. ==[ alpha ]==> (b (d (a (^x.x)))) REDUCED to normal form. ------ 89212/7896171. ------ 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))(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. ------ 89213/7896180. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(b b)) REDUCED to normal form. ------ 89214/7896207. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a) c)) 3. ==[ beta ]==> ((b a)((^y.a) c)) 4. ==[ alpha ]==> ((b a)((^x.a) c)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 89215/7896225. ------ 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 (^x.x)) a)) REDUCED to normal form. ------ 89216/7896252. ------ 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 (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. ------ 89217/7896342. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 89218/7896369. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(^y.(y y)))) REDUCED to normal form. ------ 89219/7896396. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a)) a)) REDUCED to normal form. ------ 89220/7896423. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 89221/7896495. ------ 1. ==[ start ]==> (((^a.(^a.(^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))(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. ------ 89222/7896504. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 89223/7896531. ------ 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. ------ 89224/7896567. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b (^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b (^y.a))) 3. ==[ beta ]==> (((a a) b)(b (^y.a))) 4. ==[ alpha ]==> (((a a) b)(b (^x.a))) REDUCED to normal form. ------ 89225/7896594. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 89226/7896621. ------ 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) REDUCED to normal form. ------ 89227/7896648. ------ 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. ------ 89228/7896675. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 8. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 9. ==[ beta ]==> ((a a)((^y.y) a)) 10. ==[ alpha ]==> ((a a)((^x.x) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 89229/7896702. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.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. ------ 89230/7896729. ------ 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)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 89231/7896756. ------ 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)(^y1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.a)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 89232/7896837. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.a))) REDUCED to normal form. ------ 89233/7896864. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^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))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 89234/7896891. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.a)(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. ------ 89235/7896927. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 89236/7897062. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 89237/7903995. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89238/7904076. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 89239/7904187. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 89240/7904196. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((z z)(z z)))) REDUCED to normal form. ------ 89241/7904580. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(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)))((a (^y.(^z.z)))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))((a (^z2.(^x3.x3)))(^y3.(^z3.z3))))) REDUCED to normal form. ------ 89242/7904805. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 89243/7904931. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b a) 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. ------ 89244/7905195. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.((^y1.y1) b))) 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 ]==> (^x.b) REDUCED to normal form. ------ 89245/7905492. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(a (^a.(^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))))) REDUCED to normal form. ------ 89246/7905696. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 89247/7905876. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(^y.y)) c)) 3. ==[ beta ]==> ((((a a)(^y.y)) c) b) 4. ==[ alpha ]==> ((((a a)(^x.x)) c) b) REDUCED to normal form. ------ 89248/7906104. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 89249/7906470. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(a a))(^x1.a))(((^z.z)(a a))(^x1.a)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(a a))(^z.a))(((^x1.x1)(a a))(^y1.a)))) 5. ==[ beta ]==> ((((^y.y)(a a))(^z.a))(((^x1.x1)(a a))(^y1.a))) 6. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(a a))(^x1.a))) 7. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a))(^x1.a))) 8. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.a))) 9. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.a))) 10. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 89250/7908381. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a a)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 89251/7909137. ------ 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. ------ 89252/7909317. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 89253/7909341. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89254/7909623. ------ 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. ------ 89255/7909656. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 89256/7910154. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(a (a a)))) 3. ==[ beta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 89257/7910262. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89258/7910271. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(y1 (y1 y1)))) REDUCED to normal form. ------ 89259/7910604. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.c)) REDUCED to normal form. ------ 89260/7910655. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(^y.(^z.z)))((a a)(^y.(^z.z))))(((a a)(^y.(^z.z)))((a a)(^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1))))(((a a)(^y1.(^z1.z1)))((a a)(^x2.(^y2.y2))))) REDUCED to normal form. ------ 89261/7910829. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 89262/7910886. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 89263/7910913. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 89264/7910967. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 89265/7911021. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89266/7911030. ------ 1. ==[ start ]==> (((a a) b)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(c (a (^x.(^y.y))))) REDUCED to normal form. ------ 89267/7911048. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 89268/7911057. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b ((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x)) a)(b b)) REDUCED to normal form. ------ 89269/7911084. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((a a)(a a)))) REDUCED to normal form. ------ 89270/7911111. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b (a a))) REDUCED to normal form. ------ 89271/7911165. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 89272/7911246. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)((a a) a))) REDUCED to normal form. ------ 89273/7911273. ------ 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. ------ 89274/7911300. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 89275/7911327. ------ 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. ------ 89276/7911354. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(b a))) 5. ==[ beta ]==> ((a (^x.x))(a (b a))) REDUCED to normal form. ------ 89277/7911444. ------ 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. ------ 89278/7911471. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 89279/7911480. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a (^y1.y1)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 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. ------ 89280/7911561. ------ 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 ]==> (((^y.y)(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1)(^y1.y1)))) 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. ------ 89281/7911588. ------ 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. ------ 89282/7911669. ------ 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 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. ------ 89283/7911696. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 89284/7911714. ------ 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.(^z.(^x1.x1))))) REDUCED to normal form. ------ 89285/7911741. ------ 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. ------ 89286/7911768. ------ 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. ------ 89287/7911795. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 89288/7911822. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a) c)) 3. ==[ beta ]==> ((a (^y.y))((b a) c)) 4. ==[ alpha ]==> ((a (^x.x))((b a) c)) REDUCED to normal form. ------ 89289/7911912. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 7. ==[ beta ]==> ((^y.b)(^z.a)) 8. ==[ alpha ]==> ((^x.b)(^y.a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 89290/7911966. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89291/7912029. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (b a))) 3. ==[ beta ]==> ((a (^y.a))(c (b a))) 4. ==[ alpha ]==> ((a (^x.a))(c (b a))) REDUCED to normal form. ------ 89292/7912047. ------ 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))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 89293/7912056. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 89294/7912083. ------ 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 ]==> (((^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. ------ 89295/7912119. ------ 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)(^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. ------ 89296/7912344. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (^d.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (^z.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (^z.a))) 5. ==[ beta ]==> (a (c (^z.a))) 6. ==[ alpha ]==> (a (c (^x.a))) REDUCED to normal form. ------ 89297/7912380. ------ 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. ------ 89298/7912425. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 89299/7912506. ------ 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. ------ 89300/7912587. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 89301/7912605. ------ 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. ------ 89302/7912686. ------ 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))))) 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. ------ 89303/7912713. ------ 1. ==[ start ]==> ((((^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))) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((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)) REDUCED to normal form. ------ 89304/7912740. ------ 1. ==[ start ]==> ((((a a) a)(a a))((b a) b)) REDUCED to normal form. ------ 89305/7912767. ------ 1. ==[ start ]==> ((a (a b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (a b))(((a a)(^x.x)) c)) REDUCED to normal form. ------ 89306/7912776. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 89307/7912938. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 89308/7912947. ------ 1. ==[ start ]==> (((a b) a)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 89309/7912974. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (b a))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (b a))) REDUCED to normal form. ------ 89310/7912992. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) 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. ------ 89311/7913028. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 89312/7913055. ------ 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 (^z.z)))) REDUCED to normal form. ------ 89313/7913082. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 89314/7913109. ------ 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. ------ 89315/7913136. ------ 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)(^x.x))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 89316/7913307. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((b a)(^y.y))) REDUCED to normal form. ------ 89317/7913334. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 89318/7913361. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.a))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.a))) REDUCED to normal form. ------ 89319/7913370. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 89320/7913397. ------ 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. ------ 89321/7913451. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^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. ------ 89322/7913532. ------ 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 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. ------ 89323/7913613. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(^a.a))(^a.(^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. ------ 89324/7913667. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.(y1 y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.(y1 y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(x1 x1)))) 10. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 11. ==[ beta ]==> ((^y.b)(^z.(z z))) 12. ==[ alpha ]==> ((^x.b)(^y.(y y))) 13. ==[ beta ]==> b REDUCED to normal form. ------ 89325/7913748. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.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. ------ 89326/7913901. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 89327/7913973. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^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 ((^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. ------ 89328/7914072. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 89329/7914207. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 89330/7914288. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a b))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 89331/7914315. ------ 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.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. ------ 89332/7914450. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 89333/7914603. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 89334/7914630. ------ 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 a)) REDUCED to normal form. ------ 89335/7914657. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b) c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b) c)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b) c)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) c)) 7. ==[ beta ]==> ((^y.y)((^z.b) c)) 8. ==[ alpha ]==> ((^x.x)((^y.b) c)) 9. ==[ beta ]==> ((^y.b) c) 10. ==[ alpha ]==> ((^x.b) c) 11. ==[ beta ]==> b REDUCED to normal form. ------ 89336/7914882. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (b ((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 89337/7914963. ------ 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)(^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. ------ 89338/7915071. ------ 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. ------ 89339/7915098. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b)(^a.(^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. ------ 89340/7915152. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 89341/7915215. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c ((a a) a))) REDUCED to normal form. ------ 89342/7915233. ------ 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. ------ 89343/7915242. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (a b))) REDUCED to normal form. ------ 89344/7915269. ------ 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. ------ 89345/7915296. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b)(a a))) REDUCED to normal form. ------ 89346/7915494. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a b)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 89347/7915521. ------ 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. ------ 89348/7915548. ------ 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)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.a))) 9. ==[ beta ]==> (((a a) a)(^y.a)) 10. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 89349/7915575. ------ 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 a))(^z.(z z)))) REDUCED to normal form. ------ 89350/7915638. ------ 1. ==[ start ]==> (((^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) 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. ------ 89351/7915719. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a)(^a.(^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. ------ 89352/7915800. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.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. ------ 89353/7915917. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.z))) REDUCED to normal form. ------ 89354/7915944. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a (a a)) a)) REDUCED to normal form. ------ 89355/7916016. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b (^z.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b (^z.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b (^z.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b (^z.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.a))) 7. ==[ beta ]==> (((a a)(a a))(b (^y.a))) 8. ==[ alpha ]==> (((a a)(a a))(b (^x.a))) REDUCED to normal form. ------ 89356/7916025. ------ 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. ------ 89357/7916097. ------ 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 (^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. ------ 89358/7916205. ------ 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))((^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. ------ 89359/7916232. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 89360/7916250. ------ 1. ==[ start ]==> (((a a)(a (^a.(^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. ------ 89361/7916277. ------ 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. ------ 89362/7916412. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^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. ------ 89363/7916511. ------ 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. ------ 89364/7916547. ------ 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 b)(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^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. ------ 89365/7916556. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^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. ------ 89366/7916583. ------ 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 (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(z1 z1))(a (^x2.x2)))) 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. ------ 89367/7916718. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a))(^a.(^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. ------ 89368/7916835. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a))(a a))) REDUCED to normal form. ------ 89369/7916862. ------ 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. ------ 89370/7916880. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c (^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c (^z.a))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.a))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.a))) 5. ==[ beta ]==> (b (c (^y.a))) 6. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 89371/7916889. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 89372/7916907. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 89373/7916916. ------ 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 (a a)))) REDUCED to normal form. ------ 89374/7916961. ------ 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))(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 89375/7916997. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c c)) 5. ==[ beta ]==> ((^y.(a a))(c c)) 6. ==[ alpha ]==> ((^x.(a a))(c c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 89376/7917042. ------ 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. ------ 89377/7917150. ------ 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)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89378/7917159. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (a (a a)))) REDUCED to normal form. ------ 89379/7917186. ------ 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. ------ 89380/7917222. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 89381/7917276. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (b a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((a (b a))(a (^y.y))) 6. ==[ alpha ]==> ((a (b a))(a (^x.x))) REDUCED to normal form. ------ 89382/7917303. ------ 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. ------ 89383/7917330. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.a))) 6. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.a))) 7. ==[ beta ]==> ((a a)((a a)(^y.a))) 8. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 89384/7917357. ------ 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. ------ 89385/7917384. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x)) b)) REDUCED to normal form. ------ 89386/7917438. ------ 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. ------ 89387/7917519. ------ 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. ------ 89388/7917546. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 89389/7917582. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 89390/7917717. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 89391/7924869. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 89392/7924911. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.b) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z) b)) 3. ==[ beta ]==> (^y.((^z.z) b)) 4. ==[ alpha ]==> (^x.((^y.y) b)) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 89393/7924983. ------ 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. ------ 89394/7925868. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(^b.b))) 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. ------ 89395/7926036. ------ 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. ------ 89396/7926192. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 89397/7926369. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 89398/7927353. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(y a))) 3. ==[ beta ]==> (((a a) a)(^y.(y a))) 4. ==[ alpha ]==> (((a a) a)(^x.(x a))) REDUCED to normal form. ------ 89399/7927632. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(b y))) 3. ==[ eta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 89400/7927818. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((((^z.z) a)(a b))(((^z.z) a)(a b)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)(a b))(((^y.y) a)(a b)))(^z.z)) 5. ==[ beta ]==> (((a (a b))(((^y.y) a)(a b)))(^z.z)) 6. ==[ alpha ]==> (((a (a b))(((^x.x) a)(a 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. ------ 89401/7928136. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 89402/7928388. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 89403/7928574. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(a b))) 3. ==[ eta ]==> (b ((a (^y.y))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 89404/7929054. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 89405/7929837. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.b))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.b))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 89406/7929999. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.((a a) a))) REDUCED to normal form. ------ 89407/7930014. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89408/7930170. ------ 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. ------ 89409/7930827. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 89410/7930836. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 89411/7930944. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) REDUCED to normal form. ------ 89412/7931223. ------ 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. ------ 89413/7931328. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b b)) 3. ==[ beta ]==> (((b b)(b b))((b b)(b b))) REDUCED to normal form. ------ 89414/7931502. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 89415/7931577. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (a ((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (a ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 89416/7931604. ------ 1. ==[ start ]==> (((a a) a)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a) a)((^x.b)(^y.b))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 89417/7931658. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 89418/7931712. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 89419/7931739. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 89420/7931811. ------ 1. ==[ start ]==> ((a (^b.a))((^b.b) b)) 2. ==[ alpha ]==> ((a (^x.a))((^y.y) b)) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 89421/7931829. ------ 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. ------ 89422/7931856. ------ 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 (^x.x))(a a))((b a) a)) REDUCED to normal form. ------ 89423/7931883. ------ 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. ------ 89424/7932072. ------ 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) a)((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 89425/7932099. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) b)) REDUCED to normal form. ------ 89426/7932144. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(a a))) 3. ==[ beta ]==> ((a a)((^y.y)(a a))) 4. ==[ alpha ]==> ((a a)((^x.x)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 89427/7932162. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.(^y1.y1)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) REDUCED to normal form. ------ 89428/7932189. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 89429/7932225. ------ 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. ------ 89430/7932243. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(^y1.y1)))) 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. ------ 89431/7932252. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 89432/7932270. ------ 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. ------ 89433/7932279. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 89434/7932297. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 89435/7932306. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 89436/7932333. ------ 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.z1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 89437/7932360. ------ 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. ------ 89438/7932468. ------ 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))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 89439/7932513. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((b a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((b a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89440/7932603. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 89441/7932657. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))(^b.(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. ------ 89442/7932738. ------ 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.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 89443/7932765. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)(^b.b))) 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)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89444/7932801. ------ 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))) 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. ------ 89445/7932828. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 89446/7932855. ------ 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)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^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)(^x.x)) a)) REDUCED to normal form. ------ 89447/7932882. ------ 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. ------ 89448/7932909. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)((^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. ------ 89449/7932936. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 89450/7933062. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (b (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 89451/7933089. ------ 1. ==[ start ]==> ((((a a) a) a)(a (^b.b))) 2. ==[ alpha ]==> ((((a a) a) a)(a (^x.x))) REDUCED to normal form. ------ 89452/7933107. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.(^a.a)))(^a.a))) 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))) REDUCED to normal form. ------ 89453/7933134. ------ 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.(^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. ------ 89454/7933188. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.(z z)))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(z z)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(y y)))) 9. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 10. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 89455/7933197. ------ 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. ------ 89456/7933224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 89457/7933269. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (^x.b))(^z.b)) 6. ==[ alpha ]==> ((a (^x.b))(^y.b)) REDUCED to normal form. ------ 89458/7933458. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z)) c)) 3. ==[ beta ]==> ((^y.b)(((a a)(^z.z)) c)) 4. ==[ alpha ]==> ((^x.b)(((a a)(^y.y)) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 89459/7933602. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 89460/7933629. ------ 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. ------ 89461/7933854. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^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. ------ 89462/7933881. ------ 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. ------ 89463/7933908. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(a a)))) 9. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 89464/7933935. ------ 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 a)(^y.y)))) REDUCED to normal form. ------ 89465/7933962. ------ 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. ------ 89466/7934052. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a))(^b.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. ------ 89467/7934079. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(x1 x1)))) 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. ------ 89468/7934133. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 9. ==[ beta ]==> ((^y.y)(^z.a)) 10. ==[ alpha ]==> ((^x.x)(^y.a)) 11. ==[ beta ]==> (^y.a) 12. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 89469/7934214. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 89470/7934223. ------ 1. ==[ start ]==> (((a b) b)((^a.(^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. ------ 89471/7934250. ------ 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. ------ 89472/7934268. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((b a) a)) 3. ==[ beta ]==> (((^y.y)(a a))((b a) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((b a) a)) 5. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 89473/7934295. ------ 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) REDUCED to normal form. ------ 89474/7934304. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(^a.a))(^a.(^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. ------ 89475/7934358. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 89476/7934412. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^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. ------ 89477/7934439. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 89478/7934466. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 89479/7934502. ------ 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)))) 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. ------ 89480/7934529. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (b a))) REDUCED to normal form. ------ 89481/7934556. ------ 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))) REDUCED to normal form. ------ 89482/7934583. ------ 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))(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. ------ 89483/7934610. ------ 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) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a 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. ------ 89484/7934637. ------ 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. ------ 89485/7934664. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 8. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 89486/7934691. ------ 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. ------ 89487/7934718. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a b))) REDUCED to normal form. ------ 89488/7934889. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 89489/7934898. ------ 1. ==[ start ]==> (((a b) c)((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 89490/7934925. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 89491/7934952. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 89492/7934970. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.b))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 89493/7934997. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a 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. ------ 89494/7935006. ------ 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.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. ------ 89495/7935033. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.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. ------ 89496/7935051. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(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)) REDUCED to normal form. ------ 89497/7935087. ------ 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))(^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. ------ 89498/7935114. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b)(^b.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. ------ 89499/7935141. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 89500/7935168. ------ 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.(^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. ------ 89501/7935258. ------ 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. ------ 89502/7935285. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 89503/7935312. ------ 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. ------ 89504/7935339. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b)(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a (^z.z)))) 7. ==[ beta ]==> ((^y.y)((a b)(a (^z.z)))) 8. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 9. ==[ beta ]==> ((a b)(a (^y.y))) 10. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 89505/7935366. ------ 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. ------ 89506/7935393. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 89507/7935420. ------ 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)(^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. ------ 89508/7935447. ------ 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)(^x.x))(a a))(a ((a a) a))) REDUCED to normal form. ------ 89509/7935474. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(a b))) REDUCED to normal form. ------ 89510/7935564. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b)(^a.(^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. ------ 89511/7935645. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))(^b.(^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. ------ 89512/7935708. ------ 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)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 89513/7935753. ------ 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. ------ 89514/7935780. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 89515/7935816. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a)(^b.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. ------ 89516/7935843. ------ 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. ------ 89517/7935897. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.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. ------ 89518/7935924. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^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. ------ 89519/7935951. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(a a))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 89520/7936041. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)((^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. ------ 89521/7936068. ------ 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 a))(a (a a)))) REDUCED to normal form. ------ 89522/7936095. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) 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. ------ 89523/7936122. ------ 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. ------ 89524/7936149. ------ 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. ------ 89525/7936302. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89526/7936401. ------ 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 a))(^y.(a a)))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a) a) b)) 5. ==[ beta ]==> ((a a)(((a a) a) b)) REDUCED to normal form. ------ 89527/7936617. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 89528/7936707. ------ 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. ------ 89529/7936734. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.b))) 5. ==[ beta ]==> ((^y.b)(a (^z.b))) 6. ==[ alpha ]==> ((^x.b)(a (^y.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 89530/7936779. ------ 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))(^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. ------ 89531/7936788. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^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. ------ 89532/7936815. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(a ((^z.z) a))) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y) a))) 9. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 89533/7936842. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.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. ------ 89534/7936896. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a) a)) REDUCED to normal form. ------ 89535/7936914. ------ 1. ==[ start ]==> ((a (^b.b))(((a a) a) a)) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 89536/7937040. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)(b ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a b)(b ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a b)(b (^y.y))) 8. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 89537/7937067. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 89538/7937094. ------ 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)(^y.y))(((^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. ------ 89539/7937121. ------ 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. ------ 89540/7937148. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((^z.z) a))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((^y.y) a))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 89541/7937193. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (^b.(^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. ------ 89542/7937202. ------ 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. ------ 89543/7937238. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(^a.a))(^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)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89544/7937265. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z1.(^x2.x2)))) 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. ------ 89545/7937400. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 89546/7937508. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 89547/7937562. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.a) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.a) c)) 5. ==[ beta ]==> (b ((^y.a) c)) 6. ==[ alpha ]==> (b ((^x.a) c)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 89548/7937571. ------ 1. ==[ start ]==> (((a a)(^b.b))(c (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(c (^y.a))) REDUCED to normal form. ------ 89549/7937598. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (^y1.(y1 y1)))) REDUCED to normal form. ------ 89550/7937643. ------ 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. ------ 89551/7937679. ------ 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. ------ 89552/7937706. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^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. ------ 89553/7937724. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a a)(^y.(y y)))) 3. ==[ beta ]==> (b ((a a)(^y.(y y)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 89554/7937733. ------ 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. ------ 89555/7937760. ------ 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))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^x1.x1))) 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. ------ 89556/7937787. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 89557/7937841. ------ 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)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.(z1 z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(y1 y1))) REDUCED to normal form. ------ 89558/7937904. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 89559/7937931. ------ 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))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 89560/7938012. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(b c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b c)) 5. ==[ beta ]==> (((^y.y)(a a))(b c)) 6. ==[ alpha ]==> (((^x.x)(a a))(b c)) 7. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 89561/7938066. ------ 1. ==[ start ]==> (((a b)((a a) a))(c (a a))) REDUCED to normal form. ------ 89562/7938093. ------ 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 (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)(^y.y))(b (a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 89563/7938120. ------ 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. ------ 89564/7938174. ------ 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. ------ 89565/7938201. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c a)) 3. ==[ beta ]==> ((b (a a))(c a)) REDUCED to normal form. ------ 89566/7938228. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b b)) REDUCED to normal form. ------ 89567/7938264. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 89568/7938399. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 89569/7944126. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 89570/7945386. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^z.a))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.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. ------ 89571/7945413. ------ 1. ==[ start ]==> ((^a.b)((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.b)((^y.b)(^z.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 89572/7945587. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 89573/7945611. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) b)(a a))) 3. ==[ beta ]==> (^y.(((^z.z) b)(a a))) 4. ==[ alpha ]==> (^x.(((^y.y) b)(a a))) 5. ==[ beta ]==> (^x.(b (a a))) REDUCED to normal form. ------ 89574/7945854. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 89575/7945953. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^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)((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. ------ 89576/7946253. ------ 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. ------ 89577/7946304. ------ 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.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89578/7947198. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 89579/7947636. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.((((a a) a)((^z.z)(^x1.x1)))(((a a) a)((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (^x.((((a a) a)((^y.y)(^z.z)))(((a a) a)((^x1.x1)(^y1.y1))))) 5. ==[ beta ]==> (^x.((((a a) a)(^z.z))(((a a) a)((^x1.x1)(^y1.y1))))) 6. ==[ alpha ]==> (^x.((((a a) a)(^y.y))(((a a) a)((^z.z)(^x1.x1))))) 7. ==[ beta ]==> (^x.((((a a) a)(^y.y))(((a a) a)(^x1.x1)))) 8. ==[ alpha ]==> (^x.((((a a) a)(^y.y))(((a a) a)(^z.z)))) REDUCED to normal form. ------ 89580/7947792. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 89581/7948836. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 89582/7949088. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 89583/7949274. ------ 1. ==[ start ]==> ((^a.(b a))(c (^a.b))) 2. ==[ alpha ]==> ((^x.(b x))(c (^y.b))) 3. ==[ eta ]==> (b (c (^y.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 89584/7949823. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a) a)(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 89585/7949979. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 89586/7950111. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^x1.a)((^y1.y1)(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)((^y.y)(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (a (^x1.(^y1.y1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 89587/7950870. ------ 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. ------ 89588/7951029. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (^z.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 89589/7951032. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.y))) 3. ==[ beta ]==> ((a b)(^y.(^z.y))) 4. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 89590/7951311. ------ 1. ==[ start ]==> (((^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)))) 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. ------ 89591/7951536. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 89592/7951761. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 89593/7951842. ------ 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))(^x.a)) REDUCED to normal form. ------ 89594/7951923. ------ 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. ------ 89595/7952004. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.y))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.y))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.x))) REDUCED to normal form. ------ 89596/7952028. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^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)((^z.(^x1.x1))(a a)))(((^y1.(^z1.z1))(a a))((^x2.(^y2.y2))(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a a)))(((^x1.(^y1.y1))(a a))((^z1.(^x2.x2))(a a)))) 7. ==[ beta ]==> (((^y.(^z.z))(a a))(((^x1.(^y1.y1))(a a))((^z1.(^x2.x2))(a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.(^x1.x1))(a a))((^y1.(^z1.z1))(a a)))) 9. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a a))((^y1.(^z1.z1))(a a)))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a)))) 11. ==[ beta ]==> (((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a))) 12. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 13. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 15. ==[ beta ]==> ((^y.(^z.z))(a a)) 16. ==[ alpha ]==> ((^x.(^y.y))(a a)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89597/7952067. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 89598/7952202. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 89599/7952295. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 89600/7952322. ------ 1. ==[ start ]==> ((a b)((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a b)((^x.b)(^y.b))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 89601/7952376. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 89602/7952466. ------ 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 (^x.x))(b b)) REDUCED to normal form. ------ 89603/7952493. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 89604/7952520. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a (^x.a))(b (a a))) REDUCED to normal form. ------ 89605/7952556. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 89606/7952601. ------ 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. ------ 89607/7952628. ------ 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)(a a))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 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. ------ 89608/7952682. ------ 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. ------ 89609/7952709. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^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. ------ 89610/7952763. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (b a))) REDUCED to normal form. ------ 89611/7952808. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.z))) REDUCED to normal form. ------ 89612/7952853. ------ 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. ------ 89613/7952862. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a a))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 89614/7952934. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((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)))) REDUCED to normal form. ------ 89615/7952961. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(a a))(^b.(^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. ------ 89616/7952988. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.a))) REDUCED to normal form. ------ 89617/7953015. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a)(^z.b))) REDUCED to normal form. ------ 89618/7953042. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(a a))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 89619/7953105. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(b a))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 89620/7953132. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 89621/7953159. ------ 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. ------ 89622/7953177. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) b) a)) 3. ==[ beta ]==> ((b b)(((^y.y) b) a)) 4. ==[ alpha ]==> ((b b)(((^x.x) b) a)) 5. ==[ beta ]==> ((b b)(b a)) REDUCED to normal form. ------ 89623/7953186. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 89624/7953213. ------ 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.(^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. ------ 89625/7953681. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(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. ------ 89626/7953735. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (a (((^z.z) a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x) a)((a a)(^y.y)))) 7. ==[ beta ]==> (a (a ((a a)(^y.y)))) 8. ==[ alpha ]==> (a (a ((a a)(^x.x)))) REDUCED to normal form. ------ 89627/7953852. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 89628/7953879. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 89629/7953906. ------ 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.(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. ------ 89630/7953933. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 89631/7953996. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^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. ------ 89632/7954023. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(((^x1.x1)(a a))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))((^x1.x1)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z)(a a)))) 9. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 89633/7954050. ------ 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)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 89634/7954077. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 89635/7954104. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 89636/7954131. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.(^z.z)))(^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. ------ 89637/7954149. ------ 1. ==[ start ]==> (((^a.b) a)((b a) b)) 2. ==[ alpha ]==> (((^x.b) a)((b a) b)) 3. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 89638/7954356. ------ 1. ==[ start ]==> (((^a.a)(a b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(c ((a a)(^y.y)))) 3. ==[ beta ]==> ((a b)(c ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a b)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 89639/7954383. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(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. ------ 89640/7954419. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 89641/7954437. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((b a)(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((b a)(a a))) REDUCED to normal form. ------ 89642/7954473. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 89643/7954518. ------ 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. ------ 89644/7954545. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 89645/7954698. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 89646/7954716. ------ 1. ==[ start ]==> (((^a.b) b)((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)((b a)(^y.y))) 3. ==[ beta ]==> (b ((b a)(^y.y))) 4. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 89647/7954932. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 89648/7954986. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((b a) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((b a) a)) REDUCED to normal form. ------ 89649/7955013. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 89650/7955463. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1)(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. ------ 89651/7955607. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 89652/7955634. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 89653/7955715. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 89654/7955742. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 89655/7955796. ------ 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)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a)) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89656/7955823. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b) c)) REDUCED to normal form. ------ 89657/7955940. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 89658/7955967. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^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. ------ 89659/7955994. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(^c.(^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)))) 5. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 89660/7956183. ------ 1. ==[ start ]==> ((a (b a))(c (^a.b))) 2. ==[ alpha ]==> ((a (b a))(c (^x.b))) REDUCED to normal form. ------ 89661/7956417. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(^z.b))) REDUCED to normal form. ------ 89662/7956525. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a) a) c)) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a) a) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a) c)) REDUCED to normal form. ------ 89663/7956624. ------ 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. ------ 89664/7956687. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 89665/7956732. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(a (^x1.x1)))) REDUCED to normal form. ------ 89666/7956831. ------ 1. ==[ start ]==> (((a (a a))(a b))(c (^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(c (^x.a))) REDUCED to normal form. ------ 89667/7956858. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b (^z.b))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b (^z.b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.b))) 5. ==[ beta ]==> (((a a) a)(b (^y.b))) 6. ==[ alpha ]==> (((a a) a)(b (^x.b))) REDUCED to normal form. ------ 89668/7956885. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 89669/7956912. ------ 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. ------ 89670/7956966. ------ 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))((^y1.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. ------ 89671/7957011. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a)(^b.(^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. ------ 89672/7957020. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 89673/7957299. ------ 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 a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89674/7957326. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 89675/7957335. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 89676/7957353. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 89677/7957407. ------ 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 a))((^y.y)(a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(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)(a a))((a (^y.y))((^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. ------ 89678/7957497. ------ 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))(^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. ------ 89679/7957524. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 89680/7957551. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.(z z)))) REDUCED to normal form. ------ 89681/7957668. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^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. ------ 89682/7957695. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 89683/7957722. ------ 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. ------ 89684/7957749. ------ 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.(^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. ------ 89685/7957911. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 89686/7957938. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.a))) 3. ==[ beta ]==> ((a b)(a (^y.a))) 4. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 89687/7958217. ------ 1. ==[ start ]==> (((^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)))) 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. ------ 89688/7958226. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(^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. ------ 89689/7958253. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y)) b)) 3. ==[ beta ]==> ((b a)((^y.(y y)) b)) 4. ==[ alpha ]==> ((b a)((^x.(x x)) b)) 5. ==[ beta ]==> ((b a)(b b)) REDUCED to normal form. ------ 89690/7958271. ------ 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. ------ 89691/7958280. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a) c)) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 89692/7958298. ------ 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 (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1) 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. ------ 89693/7958388. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 89694/7958415. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 89695/7958442. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 89696/7958469. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 89697/7958496. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a b)) REDUCED to normal form. ------ 89698/7958541. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(b ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89699/7958577. ------ 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. ------ 89700/7958613. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 89701/7958640. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b (^x1.a))) REDUCED to normal form. ------ 89702/7958667. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b 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. ------ 89703/7958694. ------ 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. ------ 89704/7958721. ------ 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)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 89705/7958748. ------ 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. ------ 89706/7958775. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 89707/7958802. ------ 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.(^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. ------ 89708/7958829. ------ 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. ------ 89709/7958883. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 89710/7958910. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) 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. ------ 89711/7958937. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 89712/7958973. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a c)) 3. ==[ beta ]==> ((^y.y)(a c)) 4. ==[ alpha ]==> ((^x.x)(a c)) 5. ==[ beta ]==> (a c) REDUCED to normal form. ------ 89713/7959108. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 89714/7964529. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89715/7966314. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 89716/7966323. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((z z)(z z)))) REDUCED to normal form. ------ 89717/7966680. ------ 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. ------ 89718/7966905. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 89719/7967031. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.(^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. ------ 89720/7967637. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 89721/7967796. ------ 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. ------ 89722/7967976. ------ 1. ==[ start ]==> ((^a.(a b))((b a) b)) 2. ==[ alpha ]==> ((^x.(x b))((b a) b)) 3. ==[ beta ]==> (((b a) b) b) REDUCED to normal form. ------ 89723/7968240. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 89724/7968570. ------ 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.(^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. ------ 89725/7968798. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(b 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. ------ 89726/7969581. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 89727/7970283. ------ 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. ------ 89728/7970508. ------ 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.y1)(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 89729/7970838. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)(^b.(^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. ------ 89730/7971264. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((a a) a))) 5. ==[ beta ]==> ((^y.b)(^z.((a a) a))) 6. ==[ alpha ]==> ((^x.b)(^y.((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 89731/7971441. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)((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. ------ 89732/7971444. ------ 1. ==[ start ]==> ((a (^b.b))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 89733/7971768. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 89734/7972038. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.(^b.(^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. ------ 89735/7972047. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.x1))) REDUCED to normal form. ------ 89736/7972173. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.(^b.(^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. ------ 89737/7972263. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.d)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 89738/7972398. ------ 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. ------ 89739/7972569. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 89740/7972731. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.c)) 3. ==[ beta ]==> ((b (a a))(^y.c)) 4. ==[ alpha ]==> ((b (a a))(^x.c)) REDUCED to normal form. ------ 89741/7972755. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((((a (^y.y))(^z.z))((a (^y.y))(^z.z)))(((a (^y.y))(^z.z))((a (^y.y))(^z.z)))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^x1.x1)))(((a (^y1.y1))(^z1.z1))((a (^x2.x2))(^y2.y2)))) REDUCED to normal form. ------ 89742/7972794. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 89743/7972929. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 89744/7973040. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(a a))(^c.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. ------ 89745/7973067. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.b))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 89746/7973175. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 89747/7973202. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))(^b.b))) 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. ------ 89748/7973211. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 89749/7973238. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((a a)(a a)))) REDUCED to normal form. ------ 89750/7973274. ------ 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. ------ 89751/7973292. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 89752/7973373. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(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. ------ 89753/7973400. ------ 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. ------ 89754/7973427. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(a b))) REDUCED to normal form. ------ 89755/7973454. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 89756/7973481. ------ 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. ------ 89757/7973598. ------ 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. ------ 89758/7973607. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 5. ==[ beta ]==> (((^y.y)(a a))((^y.y)(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. ------ 89759/7973634. ------ 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 (^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. ------ 89760/7973715. ------ 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. ------ 89761/7973742. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 89762/7973796. ------ 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.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. ------ 89763/7973823. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 89764/7973868. ------ 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))(^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))))) REDUCED to normal form. ------ 89765/7973895. ------ 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. ------ 89766/7973922. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) b) a)) 3. ==[ beta ]==> (((a (a a))(a a))(b a)) REDUCED to normal form. ------ 89767/7973949. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 89768/7973958. ------ 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.(^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. ------ 89769/7974039. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a))(^b.(^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 a) REDUCED to normal form. ------ 89770/7974120. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^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. ------ 89771/7974210. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b (a (^a.(^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. ------ 89772/7974246. ------ 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)(^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. ------ 89773/7974273. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.(^x1.x1))) b)) 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. ------ 89774/7974507. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))(b a))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(b a))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(b a))) 5. ==[ beta ]==> (b ((a (^y.y))(b a))) 6. ==[ alpha ]==> (b ((a (^x.x))(b a))) REDUCED to normal form. ------ 89775/7974534. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 89776/7974552. ------ 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. ------ 89777/7974579. ------ 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.(^z1.(^x2.x2)))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(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. ------ 89778/7974714. ------ 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) REDUCED to normal form. ------ 89779/7974732. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^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. ------ 89780/7974759. ------ 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. ------ 89781/7974840. ------ 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)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 89782/7974867. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 89783/7974894. ------ 1. ==[ start ]==> ((a (a b))((b a) b)) REDUCED to normal form. ------ 89784/7974984. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 89785/7975065. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 89786/7975092. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 89787/7975101. ------ 1. ==[ start ]==> (((a a)(^a.b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 89788/7975155. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 89789/7975182. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((b a)(a a))) REDUCED to normal form. ------ 89790/7975209. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 89791/7975236. ------ 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.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. ------ 89792/7975263. ------ 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. ------ 89793/7975461. ------ 1. ==[ start ]==> (((a b)(a a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((b a)(^x.x))) REDUCED to normal form. ------ 89794/7975488. ------ 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 (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. ------ 89795/7975497. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 89796/7975524. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((^y1.y1) 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. ------ 89797/7975578. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 89798/7975659. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 89799/7975713. ------ 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. ------ 89800/7975794. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(a a))(^b.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. ------ 89801/7975875. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 89802/7976055. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a)) c)) 5. ==[ beta ]==> ((a (a a))((^y.(a a)) c)) 6. ==[ alpha ]==> ((a (a a))((^x.(a a)) c)) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 89803/7976100. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a)(a (a a)))) 3. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 89804/7976199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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. ------ 89805/7976334. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 89806/7976415. ------ 1. ==[ start ]==> (((^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) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 89807/7976442. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 89808/7976496. ------ 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)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((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. ------ 89809/7976577. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b)(^b.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. ------ 89810/7976784. ------ 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.(a a)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a)) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) b)) 7. ==[ beta ]==> ((^y.y)((^z.(a a)) b)) 8. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 9. ==[ beta ]==> ((^y.(a a)) b) 10. ==[ alpha ]==> ((^x.(a a)) b) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 89811/7976811. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.b) c)) 3. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 89812/7976838. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a) d)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 89813/7977009. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(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 a)) REDUCED to normal form. ------ 89814/7977090. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 89815/7977198. ------ 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. ------ 89816/7977225. ------ 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 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. ------ 89817/7977279. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a)(^b.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. ------ 89818/7977360. ------ 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. ------ 89819/7977369. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c ((a a) a))) REDUCED to normal form. ------ 89820/7977396. ------ 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. ------ 89821/7977423. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 89822/7977486. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a) c)) 2. ==[ alpha ]==> (((a a)(b a))((^x.a) c)) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 89823/7977648. ------ 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. ------ 89824/7977675. ------ 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)))) 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. ------ 89825/7977702. ------ 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)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.a)) REDUCED to normal form. ------ 89826/7977756. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)(^b.(^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. ------ 89827/7977765. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 89828/7977846. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((a a)((^z.b)(^x1.x1))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.y))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 89829/7977927. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.(y1 y1)))) 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. ------ 89830/7978044. ------ 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. ------ 89831/7978071. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 89832/7978152. ------ 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. ------ 89833/7978179. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)((a a) a))) 5. ==[ beta ]==> ((^y.b)((a a)((a a) a))) 6. ==[ alpha ]==> ((^x.b)((a a)((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 89834/7978224. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 89835/7978332. ------ 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)(^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. ------ 89836/7978359. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)((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. ------ 89837/7978377. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a) a) a)) REDUCED to normal form. ------ 89838/7978404. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(^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. ------ 89839/7978539. ------ 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)(^y.y))((^z.a) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a) a)) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 89840/7978566. ------ 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. ------ 89841/7978638. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 89842/7978683. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 89843/7978710. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(a a))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(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. ------ 89844/7978845. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^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. ------ 89845/7978953. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.a)(^b.(^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. ------ 89846/7978962. ------ 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. ------ 89847/7978989. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (a a))(a a))) 3. ==[ beta ]==> ((b a)((a (a a))(a a))) REDUCED to normal form. ------ 89848/7979016. ------ 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. ------ 89849/7979043. ------ 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 (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1)) a)) REDUCED to normal form. ------ 89850/7979088. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 89851/7979151. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c c)) REDUCED to normal form. ------ 89852/7979169. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^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. ------ 89853/7979178. ------ 1. ==[ start ]==> (((a b)(^c.a))(b d)) 2. ==[ alpha ]==> (((a b)(^x.a))(b d)) REDUCED to normal form. ------ 89854/7979277. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 89855/7979286. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b ((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b a)) REDUCED to normal form. ------ 89856/7979313. ------ 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. ------ 89857/7979349. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.a) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a) b)) 3. ==[ beta ]==> (((a a) b)((^y.a) b)) 4. ==[ alpha ]==> (((a a) b)((^x.a) b)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 89858/7979430. ------ 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. ------ 89859/7979457. ------ 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))(^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. ------ 89860/7979484. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a a)(^x.a))) REDUCED to normal form. ------ 89861/7979511. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x) a) a)) 3. ==[ beta ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 89862/7979538. ------ 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)(^y.y))((a (^z.z)) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 89863/7979619. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1)) 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. ------ 89864/7979646. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.y) c)) 3. ==[ beta ]==> ((b (a a))((^y.y) c)) 4. ==[ alpha ]==> ((b (a a))((^x.x) c)) 5. ==[ beta ]==> ((b (a a)) c) REDUCED to normal form. ------ 89865/7979673. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 89866/7979709. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 89867/7979844. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 89868/7985274. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89869/7985589. ------ 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. ------ 89870/7987077. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 89871/7987092. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a)) a)) 3. ==[ beta ]==> (^y.((^z.(a a)) a)) 4. ==[ alpha ]==> (^x.((^y.(a a)) a)) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 89872/7987164. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a)((^z.z) a))) 3. ==[ eta ]==> ((^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. ------ 89873/7987659. ------ 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. ------ 89874/7987752. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.(x x)) b)(^z.z)) 4. ==[ alpha ]==> (((^x.(x x)) b)(^y.y)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 89875/7988085. ------ 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)(^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. ------ 89876/7988217. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a b)((^y.y)(^z.z)))((a b)((^y.y)(^z.z))))((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a b)((^x.x)(^y.y)))((a b)((^z.z)(^x1.x1))))((a b)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a b)(^y.y))((a b)((^z.z)(^x1.x1))))((a b)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((((a b)(^x.x))((a b)((^y.y)(^z.z))))((a b)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((a b)(^x.x))((a b)(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((((a b)(^x.x))((a b)(^y.y)))((a b)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((((a b)(^x.x))((a b)(^y.y)))((a b)(^x1.x1))) 10. ==[ alpha ]==> ((((a b)(^x.x))((a b)(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 89877/7988550. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)(^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 89878/7988994. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 89879/7989291. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)(^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. ------ 89880/7989561. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(y a))) REDUCED to normal form. ------ 89881/7989840. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(b y))) 3. ==[ eta ]==> ((((^x.x) a)((a a) a)) b) 4. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 89882/7989999. ------ 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. ------ 89883/7990596. ------ 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. ------ 89884/7990755. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)((a a) a))) 3. ==[ eta ]==> (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. ------ 89885/7991037. ------ 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. ------ 89886/7991262. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 89887/7991304. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.b) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 89888/7992195. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89889/7992198. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 89890/7992378. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.((z z) z))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 89891/7992510. ------ 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. ------ 89892/7992513. ------ 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)(^x.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 89893/7992801. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 89894/7993044. ------ 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)))) REDUCED to normal form. ------ 89895/7993152. ------ 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. ------ 89896/7993242. ------ 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))(^x.a)) REDUCED to normal form. ------ 89897/7993485. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(a (^z.z)))) 3. ==[ beta ]==> ((b (a a))(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((b (a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 89898/7993548. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.(^a.(^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. ------ 89899/7993683. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 89900/7993812. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 89901/7993839. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 89902/7993866. ------ 1. ==[ start ]==> (((^a.a) b)((^c.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 a) REDUCED to normal form. ------ 89903/7993893. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 89904/7993947. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 89905/7993974. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 89906/7994019. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 89907/7994037. ------ 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. ------ 89908/7994064. ------ 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)))) REDUCED to normal form. ------ 89909/7994091. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a)((^y.y) a))) 3. ==[ beta ]==> ((a a)((b a)((^y.y) a))) 4. ==[ alpha ]==> ((a a)((b a)((^x.x) a))) 5. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 89910/7994280. ------ 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) 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. ------ 89911/7994307. ------ 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 (^x1.(^y1.y1))))) REDUCED to normal form. ------ 89912/7994334. ------ 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. ------ 89913/7994370. ------ 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. ------ 89914/7994397. ------ 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.(^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. ------ 89915/7994451. ------ 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 ]==> (((^y.y)(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(x1 x1)))) 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. ------ 89916/7994478. ------ 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. ------ 89917/7994487. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 89918/7994505. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 89919/7994514. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 89920/7994559. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 89921/7994568. ------ 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. ------ 89922/7994586. ------ 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. ------ 89923/7994676. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((b b)((^y.y)((^z.z) b))) 4. ==[ alpha ]==> ((b b)((^x.x)((^y.y) b))) 5. ==[ beta ]==> ((b b)((^y.y) b)) 6. ==[ alpha ]==> ((b b)((^x.x) b)) 7. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 89924/7994721. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89925/7994748. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((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. ------ 89926/7994811. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a))(^b.(^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. ------ 89927/7994838. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.a))) 5. ==[ beta ]==> (a ((^y.b)(^z.a))) 6. ==[ alpha ]==> (a ((^x.b)(^y.a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 89928/7994865. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 89929/7994892. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.(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. ------ 89930/7994919. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.a))(^z.z)) 8. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 89931/7994973. ------ 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))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 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. ------ 89932/7995009. ------ 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)(^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. ------ 89933/7995036. ------ 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))) REDUCED to normal form. ------ 89934/7995063. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) a))((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((b 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. ------ 89935/7995090. ------ 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. ------ 89936/7995117. ------ 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. ------ 89937/7995144. ------ 1. ==[ start ]==> ((a ((a a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a b)((^x.x)(^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. ------ 89938/7995270. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (^d.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (^z.a))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.a))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.a))) 5. ==[ beta ]==> (b (c (^y.a))) 6. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 89939/7995297. ------ 1. ==[ start ]==> ((((a a) a) a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 89940/7995342. ------ 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 (^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.x2))) 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. ------ 89941/7995351. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(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. ------ 89942/7995396. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.a))) 7. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.a))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 89943/7995405. ------ 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) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 89944/7995432. ------ 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. ------ 89945/7995459. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 89946/7995477. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.a))) REDUCED to normal form. ------ 89947/7995648. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 89948/7995666. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((b a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((b a) b)) 3. ==[ beta ]==> ((^y.b)((b a) b)) 4. ==[ alpha ]==> ((^x.b)((b a) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 89949/7995810. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 89950/7995837. ------ 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. ------ 89951/7995864. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 89952/7995918. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 89953/7995936. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z))) 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. ------ 89954/7996062. ------ 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. ------ 89955/7996089. ------ 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)(^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))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))((a a) a)) REDUCED to normal form. ------ 89956/7996116. ------ 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. ------ 89957/7996143. ------ 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)(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. ------ 89958/7996170. ------ 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)))) REDUCED to normal form. ------ 89959/7996197. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(b a))) REDUCED to normal form. ------ 89960/7996215. ------ 1. ==[ start ]==> (((^a.b) b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 89961/7996260. ------ 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.(^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. ------ 89962/7996287. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a))(^b.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. ------ 89963/7996341. ------ 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.(^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. ------ 89964/7996422. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 89965/7996431. ------ 1. ==[ start ]==> (((a b) b)((^b.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. ------ 89966/7996458. ------ 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)(^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. ------ 89967/7996485. ------ 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. ------ 89968/7996503. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 89969/7996566. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 89970/7996593. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.(z z)))) 7. ==[ beta ]==> (((^y.b)(^z.(z z)))((^y.b)(^z.(z z)))) 8. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 9. ==[ beta ]==> (b ((^z.b)(^x1.(x1 x1)))) 10. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 89971/7996620. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)(^b.(^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. ------ 89972/7996647. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 89973/7996674. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.b)(^z.b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.b))) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 89974/7996737. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 89975/7996764. ------ 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. ------ 89976/7996791. ------ 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))(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. ------ 89977/7996818. ------ 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))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(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. ------ 89978/7996845. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a 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. ------ 89979/7996872. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 89980/7996899. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^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))((^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. ------ 89981/7996926. ------ 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. ------ 89982/7997097. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 89983/7997106. ------ 1. ==[ start ]==> (((a b) c)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 89984/7997133. ------ 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. ------ 89985/7997160. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 89986/7997205. ------ 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) a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.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. ------ 89987/7997214. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.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. ------ 89988/7997241. ------ 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.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. ------ 89989/7997295. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 89990/7997322. ------ 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 a)) REDUCED to normal form. ------ 89991/7997340. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a b) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 89992/7997349. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 89993/7997403. ------ 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.(^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. ------ 89994/7997493. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 89995/7997520. ------ 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. ------ 89996/7997547. ------ 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))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a a))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a a))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 9. ==[ beta ]==> (((^y.y)(a a))(a a)) 10. ==[ alpha ]==> (((^x.x)(a a))(a a)) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 89997/7997574. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a b)(a (^x.x)))) REDUCED to normal form. ------ 89998/7997601. ------ 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. ------ 89999/7997628. ------ 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)(^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. ------ 90000/7997655. ------ 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)(^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. ------ 90001/7997682. ------ 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. ------ 90002/7997772. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (b (((^z.z)(a a))(^x1.x1))) 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. ------ 90003/7997853. ------ 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))(^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. ------ 90004/7997916. ------ 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)(^x.x)) b) a) REDUCED to normal form. ------ 90005/7997961. ------ 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. ------ 90006/7997988. ------ 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)(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. ------ 90007/7998024. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.b)(^a.(^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. ------ 90008/7998042. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a) a) c)) 3. ==[ beta ]==> (((a b)(a b))(((a a) a) c)) REDUCED to normal form. ------ 90009/7998051. ------ 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. ------ 90010/7998105. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 90011/7998132. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.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. ------ 90012/7998159. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^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. ------ 90013/7998186. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 90014/7998231. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b) b)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 90015/7998249. ------ 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. ------ 90016/7998276. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 90017/7998303. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 90018/7998330. ------ 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. ------ 90019/7998357. ------ 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. ------ 90020/7998384. ------ 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)(^y.y))((a a)(a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(a b))) REDUCED to normal form. ------ 90021/7998510. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 90022/7998528. ------ 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.(^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. ------ 90023/7998609. ------ 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. ------ 90024/7998798. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^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. ------ 90025/7998852. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^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. ------ 90026/7998915. ------ 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. ------ 90027/7998942. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.a))) 5. ==[ beta ]==> ((^y.b)(b (^z.a))) 6. ==[ alpha ]==> ((^x.b)(b (^y.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 90028/7998987. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 90029/7998996. ------ 1. ==[ start ]==> (((a b)(^b.(^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) REDUCED to normal form. ------ 90030/7999023. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(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. ------ 90031/7999050. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a ((^x1.x1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a ((^z.z) a))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 90032/7999095. ------ 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))((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. ------ 90033/7999104. ------ 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)(^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. ------ 90034/7999122. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 90035/7999248. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c (a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(c (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(c (a (a a)))) 5. ==[ beta ]==> ((a b)(c (a (a a)))) REDUCED to normal form. ------ 90036/7999275. ------ 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. ------ 90037/7999302. ------ 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)(^y.y))(a ((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 90038/7999329. ------ 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. ------ 90039/7999356. ------ 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. ------ 90040/7999401. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90041/7999410. ------ 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)))) REDUCED to normal form. ------ 90042/7999437. ------ 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)))) 5. ==[ beta ]==> ((a b)((a a)(^y.y))) 6. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 90043/7999473. ------ 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)(^x2.x2))(^y2.y2))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(^x2.x2))(^y2.y2))) 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. ------ 90044/7999608. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 90045/7999725. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(^b.(^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. ------ 90046/7999770. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y)) b)) 5. ==[ beta ]==> (b ((^y.(y y)) b)) 6. ==[ alpha ]==> (b ((^x.(x x)) b)) 7. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 90047/7999797. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.a) c)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 90048/7999887. ------ 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))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(a a))) 5. ==[ beta ]==> ((^y.(a a))((^z.(z z))(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 90049/7999914. ------ 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) REDUCED to normal form. ------ 90050/7999932. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((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. ------ 90051/7999941. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^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. ------ 90052/7999968. ------ 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. ------ 90053/7999995. ------ 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))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(^x1.x1))) 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. ------ 90054/8000049. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.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. ------ 90055/8000076. ------ 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. ------ 90056/8000112. ------ 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. ------ 90057/8000139. ------ 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 (^y1.y1)))) REDUCED to normal form. ------ 90058/8000166. ------ 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))) 5. ==[ beta ]==> ((a (b a))((a a) a)) REDUCED to normal form. ------ 90059/8000247. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b c)) REDUCED to normal form. ------ 90060/8000328. ------ 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. ------ 90061/8000382. ------ 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))) REDUCED to normal form. ------ 90062/8000409. ------ 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. ------ 90063/8000472. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 90064/8000607. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.z))) 3. ==[ beta ]==> (b ((a a)(^z.z))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 90065/8000943. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((z z)(z z)))) 3. ==[ beta ]==> (^y.(^z.((z z)(z z)))) 4. ==[ alpha ]==> (^x.(^y.((y y)(y y)))) REDUCED to normal form. ------ 90066/8007360. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.y))) 3. ==[ beta ]==> (((^y.(^z.y))(^y.(^z.y)))((^y.(^z.y))(^y.(^z.y)))) 4. ==[ alpha ]==> (((^x.(^y.x))(^z.(^x1.z)))((^y1.(^z1.y1))(^x2.(^y2.x2)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.z)))((^y1.(^z1.y1))(^x2.(^y2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.y)))((^x1.(^y1.x1))(^z1.(^x2.z1)))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 90067/8007675. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 90068/8007756. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.(^z1.z1)))(^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. ------ 90069/8007873. ------ 1. ==[ start ]==> ((^a.(^b.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(a ((a a)(a a)))) 3. ==[ beta ]==> (^y.(a ((a a)(a a)))) 4. ==[ alpha ]==> (^x.(a ((a a)(a a)))) REDUCED to normal form. ------ 90070/8007876. ------ 1. ==[ start ]==> ((a (^b.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((y y)(y y)))) REDUCED to normal form. ------ 90071/8008116. ------ 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. ------ 90072/8008533. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.z))) 3. ==[ beta ]==> ((b b)(^y.(^z.z))) 4. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 90073/8008542. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 90074/8008566. ------ 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. ------ 90075/8008866. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 90076/8009487. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 90077/8009511. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.y1)) b) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1)) 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. ------ 90078/8009793. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(a (^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))))) REDUCED to normal form. ------ 90079/8009898. ------ 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. ------ 90080/8010081. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 90081/8010342. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 90082/8011377. ------ 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. ------ 90083/8012085. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a b)(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 90084/8012268. ------ 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. ------ 90085/8012373. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((^x1.(x1 x1))(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(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. ------ 90086/8012655. ------ 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))(^y1.(y1 b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90087/8012997. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.((a a) a))) REDUCED to normal form. ------ 90088/8013159. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(^c.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. ------ 90089/8013291. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (^b.(^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. ------ 90090/8013303. ------ 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 ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90091/8013825. ------ 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 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 90092/8013933. ------ 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. ------ 90093/8014050. ------ 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. ------ 90094/8014131. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b)((a a) a))(^x.a)) REDUCED to normal form. ------ 90095/8014290. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a (^y.a))) 3. ==[ beta ]==> (((a (^y.a))(a (^y.a)))((a (^y.a))(a (^y.a)))) 4. ==[ alpha ]==> (((a (^x.a))(a (^y.a)))((a (^z.a))(a (^x1.a)))) REDUCED to normal form. ------ 90096/8014293. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.x))) REDUCED to normal form. ------ 90097/8014611. ------ 1. ==[ start ]==> ((a b)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 90098/8014692. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))(^c.(^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. ------ 90099/8014782. ------ 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)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 90100/8014809. ------ 1. ==[ start ]==> ((a (^b.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(a ((a a)(a a)))) REDUCED to normal form. ------ 90101/8014845. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 90102/8014890. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a)((^z.z) a))) 3. ==[ beta ]==> ((^y.a)((b a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.a)((b a)((^y.y) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 90103/8014917. ------ 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. ------ 90104/8014971. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((a b)((a a) a))) 5. ==[ beta ]==> (a ((a b)((a a) a))) REDUCED to normal form. ------ 90105/8014998. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 90106/8015052. ------ 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. ------ 90107/8015124. ------ 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. ------ 90108/8015223. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((b a)(^y.a))) 3. ==[ beta ]==> ((a b)((b a)(^y.a))) 4. ==[ alpha ]==> ((a b)((b a)(^x.a))) REDUCED to normal form. ------ 90109/8015250. ------ 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 y)))) REDUCED to normal form. ------ 90110/8015277. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 90111/8015304. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)(^z.a))) REDUCED to normal form. ------ 90112/8015331. ------ 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. ------ 90113/8015358. ------ 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. ------ 90114/8015394. ------ 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 a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 90115/8015421. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(b a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(b a))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 90116/8015448. ------ 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. ------ 90117/8015466. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 90118/8015475. ------ 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))((^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. ------ 90119/8015502. ------ 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))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 90120/8015799. ------ 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)(^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. ------ 90121/8015970. ------ 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. ------ 90122/8016024. ------ 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. ------ 90123/8016105. ------ 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. ------ 90124/8016141. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) REDUCED to normal form. ------ 90125/8016168. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 90126/8016195. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 90127/8016222. ------ 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.(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. ------ 90128/8016249. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 90129/8016312. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 90130/8016339. ------ 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)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(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)))) 9. ==[ beta ]==> ((a (a (a a)))((a a)(a a))) REDUCED to normal form. ------ 90131/8016366. ------ 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)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 90132/8016393. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(b a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 90133/8016420. ------ 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))))) 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. ------ 90134/8016438. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 90135/8016447. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 90136/8016726. ------ 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)))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 90137/8016735. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.(^x1.x1))) 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. ------ 90138/8016807. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 90139/8016834. ------ 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. ------ 90140/8017014. ------ 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. ------ 90141/8017221. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (((a b) b)(a (^y.(a a)))) 4. ==[ alpha ]==> (((a b) b)(a (^x.(a a)))) REDUCED to normal form. ------ 90142/8017302. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((b a) a)) REDUCED to normal form. ------ 90143/8017356. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 90144/8017500. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^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. ------ 90145/8017527. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^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. ------ 90146/8017653. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b) d)) 2. ==[ alpha ]==> (((^x.b) c)((^y.b) d)) 3. ==[ beta ]==> (b ((^y.b) d)) 4. ==[ alpha ]==> (b ((^x.b) d)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 90147/8017752. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) 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. ------ 90148/8017896. ------ 1. ==[ start ]==> (((a b) c)((a b)(^b.a))) 2. ==[ alpha ]==> (((a b) c)((a b)(^x.a))) REDUCED to normal form. ------ 90149/8017923. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a 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. ------ 90150/8017950. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 90151/8018004. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) 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. ------ 90152/8018031. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 90153/8018085. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90154/8018112. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a) b)) REDUCED to normal form. ------ 90155/8018139. ------ 1. ==[ start ]==> (((a b)(^b.a))((a b) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((a b) c)) REDUCED to normal form. ------ 90156/8018256. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.b))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 90157/8018283. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^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. ------ 90158/8018706. ------ 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)(^x.x)) b)(a (^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.a))) REDUCED to normal form. ------ 90159/8018814. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a b) b)) 3. ==[ beta ]==> ((a (^y.(a a)))((a b) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((a b) b)) REDUCED to normal form. ------ 90160/8018841. ------ 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. ------ 90161/8019021. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b)(a a))) REDUCED to normal form. ------ 90162/8019174. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b (^z.b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b (^z.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.b))) REDUCED to normal form. ------ 90163/8019201. ------ 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. ------ 90164/8019228. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.b)(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.b)(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(a a))) 5. ==[ beta ]==> (((a a) a)((^y.b)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(a a))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 90165/8019300. ------ 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 (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. ------ 90166/8019309. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 90167/8019588. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(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. ------ 90168/8019597. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 90169/8019615. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^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. ------ 90170/8019642. ------ 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 (^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. ------ 90171/8019696. ------ 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.z) a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 90172/8019786. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 90173/8019813. ------ 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)(^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. ------ 90174/8019840. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a))(^z.a))) REDUCED to normal form. ------ 90175/8019894. ------ 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.(^z1.z1)))) REDUCED to normal form. ------ 90176/8019930. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a a) a)) REDUCED to normal form. ------ 90177/8019957. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 90178/8019984. ------ 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))(^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. ------ 90179/8020011. ------ 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. ------ 90180/8020038. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.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. ------ 90181/8020065. ------ 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. ------ 90182/8020092. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.a)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.a)) REDUCED to normal form. ------ 90183/8020227. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (^b.(^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. ------ 90184/8020236. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 90185/8020506. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(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. ------ 90186/8020542. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(^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. ------ 90187/8020560. ------ 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. ------ 90188/8020569. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 90189/8020587. ------ 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. ------ 90190/8020596. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 90191/8020641. ------ 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 (a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 90192/8020677. ------ 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. ------ 90193/8020704. ------ 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. ------ 90194/8020722. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 90195/8020731. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 90196/8020758. ------ 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 x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 90197/8020785. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (a a)) a)) REDUCED to normal form. ------ 90198/8020956. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(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. ------ 90199/8020983. ------ 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. ------ 90200/8021010. ------ 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) REDUCED to normal form. ------ 90201/8021037. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^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. ------ 90202/8021064. ------ 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))((^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. ------ 90203/8021091. ------ 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)(^y1.y1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 90204/8021118. ------ 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. ------ 90205/8021199. ------ 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. ------ 90206/8021226. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(a (^x.a))) REDUCED to normal form. ------ 90207/8021262. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 90208/8021397. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 90209/8021742. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(a a)))) REDUCED to normal form. ------ 90210/8028159. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.c)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.c)) 3. ==[ beta ]==> (((^y.c)(^y.c))((^y.c)(^y.c))) 4. ==[ alpha ]==> (((^x.c)(^y.c))((^z.c)(^x1.c))) 5. ==[ beta ]==> (c ((^z.c)(^x1.c))) 6. ==[ alpha ]==> (c ((^x.c)(^y.c))) 7. ==[ beta ]==> (c c) REDUCED to normal form. ------ 90211/8028519. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90212/8028681. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (^x.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 90213/8028684. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 90214/8029248. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90215/8029374. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) 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. ------ 90216/8030007. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90217/8030139. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 90218/8030319. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (((a (^y.(^z.z))) a) b) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 90219/8030601. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 90220/8030610. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 90221/8030880. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(b a))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(b a))) 3. ==[ beta ]==> (b (^y.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 90222/8030913. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((b a)(^z.z))) 3. ==[ beta ]==> ((^y.y)(((b a)(^z.z))((b a)(^z.z)))) 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))) REDUCED to normal form. ------ 90223/8031168. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 90224/8032437. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 90225/8032653. ------ 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.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. ------ 90226/8033181. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x1.(x1 x1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 90227/8033274. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(a z))) 3. ==[ eta ]==> (((^x.(x x))(^y.(a a))) a) 4. ==[ beta ]==> (((^y.(a a))(^y.(a a))) a) 5. ==[ alpha ]==> (((^x.(a a))(^y.(a a))) a) 6. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 90228/8033463. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^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. ------ 90229/8033472. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(z b))) REDUCED to normal form. ------ 90230/8033652. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (b (^x1.(^y1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 90231/8033784. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^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. ------ 90232/8034273. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.((^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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 90233/8034417. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.((^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)(^x.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 90234/8034939. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 90235/8035101. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.c)) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.c)) REDUCED to normal form. ------ 90236/8035272. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.(^a.(^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. ------ 90237/8035437. ------ 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))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 90238/8035464. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 90239/8035518. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 90240/8035572. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 90241/8035599. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 90242/8035608. ------ 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))(^y.y))(b b)) REDUCED to normal form. ------ 90243/8035626. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.a))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(a a))) REDUCED to normal form. ------ 90244/8035662. ------ 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)(((^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. ------ 90245/8035671. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) b)) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 90246/8035743. ------ 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. ------ 90247/8035770. ------ 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.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((a a)((^y.y)(^z.z)))) 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. ------ 90248/8035797. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)((a a) a))) REDUCED to normal form. ------ 90249/8035824. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(a b))) REDUCED to normal form. ------ 90250/8035851. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(a a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 90251/8035959. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 90252/8036004. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 90253/8036112. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 90254/8036193. ------ 1. ==[ start ]==> ((a (^b.(^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)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 90255/8036265. ------ 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. ------ 90256/8036292. ------ 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. ------ 90257/8036319. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) b) a)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b) a)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) a)) 5. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 90258/8036328. ------ 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. ------ 90259/8036355. ------ 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.(^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. ------ 90260/8036463. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 7. ==[ beta ]==> ((^y.b)(^z.a)) 8. ==[ alpha ]==> ((^x.b)(^y.a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 90261/8036643. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y) a)) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 90262/8036670. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) b)) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) b)) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 90263/8036877. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (b (((^y.y) a)((a a)(^z.z)))) 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. ------ 90264/8036904. ------ 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. ------ 90265/8036922. ------ 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. ------ 90266/8036949. ------ 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)(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 90267/8037084. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 90268/8037129. ------ 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.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.b))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.b))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.b)) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 90269/8037156. ------ 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. ------ 90270/8037237. ------ 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. ------ 90271/8037264. ------ 1. ==[ start ]==> ((a (a b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (a b))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 90272/8037273. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 90273/8037354. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 90274/8037435. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 90275/8037462. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((a b)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 90276/8037489. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((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. ------ 90277/8037525. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (b a))) REDUCED to normal form. ------ 90278/8037543. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 90279/8037552. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 90280/8037579. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(a a))) 5. ==[ beta ]==> ((^y.a)((b a)(a a))) 6. ==[ alpha ]==> ((^x.a)((b a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 90281/8037606. ------ 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 (^x1.x1)))) REDUCED to normal form. ------ 90282/8037633. ------ 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)(^x.x))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.x))((a a) a)) REDUCED to normal form. ------ 90283/8037822. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(b a))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(b a))) 3. ==[ beta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 90284/8037858. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 90285/8037894. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 90286/8037948. ------ 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. ------ 90287/8038029. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 90288/8038083. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(^x1.x1)))) 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. ------ 90289/8038110. ------ 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. ------ 90290/8038245. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 90291/8038452. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(a a)) c)) 3. ==[ beta ]==> ((((a a) a) a)((^y.(a a)) c)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(a a)) c)) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 90292/8038470. ------ 1. ==[ start ]==> (((^a.b) c)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((a b)((^y.y) a))) 3. ==[ beta ]==> (b ((a b)((^y.y) a))) 4. ==[ alpha ]==> (b ((a b)((^x.x) a))) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 90293/8038704. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 90294/8038785. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 90295/8038812. ------ 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 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. ------ 90296/8038866. ------ 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.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. ------ 90297/8038947. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(a a))(^a.(^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. ------ 90298/8039181. ------ 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 a)) REDUCED to normal form. ------ 90299/8039208. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 90300/8039379. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 90301/8039460. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 90302/8039568. ------ 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. ------ 90303/8039595. ------ 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.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. ------ 90304/8039649. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.b)(^a.(^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. ------ 90305/8039730. ------ 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. ------ 90306/8039766. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.a))(c ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(c ((a a) a))) REDUCED to normal form. ------ 90307/8039793. ------ 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. ------ 90308/8039856. ------ 1. ==[ start ]==> (((a a)(b a))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(b a))((^x.b) b)) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 90309/8040045. ------ 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))) 5. ==[ beta ]==> (((a a) a)((a b)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a b)(^x.x))) REDUCED to normal form. ------ 90310/8040072. ------ 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) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 90311/8040126. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 90312/8040135. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90313/8040216. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(a b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(a b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(a b))) 5. ==[ beta ]==> ((a a)((^z.z)(a b))) 6. ==[ alpha ]==> ((a a)((^x.x)(a b))) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 90314/8040297. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^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. ------ 90315/8040405. ------ 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))((^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. ------ 90316/8040414. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (a b))) REDUCED to normal form. ------ 90317/8040441. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a)(a a))) REDUCED to normal form. ------ 90318/8040522. ------ 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. ------ 90319/8040549. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 90320/8040594. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> (b (a (^x1.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 90321/8040702. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^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. ------ 90322/8040729. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^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. ------ 90323/8040774. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a) a) a)) REDUCED to normal form. ------ 90324/8040801. ------ 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)(^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. ------ 90325/8040963. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 90326/8041008. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^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. ------ 90327/8041053. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b (^b.(^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. ------ 90328/8041215. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 90329/8041323. ------ 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.(^x2.x2))(^y2.(y2 y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(^y2.(y2 y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90330/8041332. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (a (a a)))) REDUCED to normal form. ------ 90331/8041359. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b a)(a ((^y.y)(^z.z)))) 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. ------ 90332/8041386. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 90333/8041413. ------ 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. ------ 90334/8041458. ------ 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 z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b (^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 90335/8041539. ------ 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) REDUCED to normal form. ------ 90336/8041548. ------ 1. ==[ start ]==> (((a b)(^c.a))(c c)) 2. ==[ alpha ]==> (((a b)(^x.a))(c c)) REDUCED to normal form. ------ 90337/8041647. ------ 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)(^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. ------ 90338/8041683. ------ 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. ------ 90339/8041719. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a) b)((^y.(y y)) a)) 4. ==[ alpha ]==> (((a a) b)((^x.(x x)) a)) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 90340/8041746. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.a) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 90341/8041773. ------ 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)) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 90342/8041827. ------ 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)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a 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. ------ 90343/8041854. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 90344/8041881. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((a a)(^x.a))) REDUCED to normal form. ------ 90345/8041908. ------ 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.x1) a) a)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1) a) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a) a)) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a) a)) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 90346/8041935. ------ 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. ------ 90347/8041989. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 90348/8042016. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y)) b)) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 90349/8042079. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^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) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90350/8042214. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a (^a.(^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. ------ 90351/8049537. ------ 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. ------ 90352/8049588. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 90353/8049858. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a a)((^y.y) b))(((a a)((^y.y) b))((a a)((^y.y) b)))) 4. ==[ alpha ]==> (((a a)((^x.x) b))(((a a)((^y.y) b))((a a)((^z.z) b)))) 5. ==[ beta ]==> (((a a) b)(((a a)((^y.y) b))((a a)((^z.z) b)))) 6. ==[ alpha ]==> (((a a) b)(((a a)((^x.x) b))((a a)((^y.y) b)))) 7. ==[ beta ]==> (((a a) b)(((a a) b)((a a)((^y.y) b)))) 8. ==[ alpha ]==> (((a a) b)(((a a) b)((a a)((^x.x) b)))) 9. ==[ beta ]==> (((a a) b)(((a a) b)((a a) b))) REDUCED to normal form. ------ 90354/8050083. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90355/8050536. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^y.b)) REDUCED to normal form. ------ 90356/8050641. ------ 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. ------ 90357/8050851. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 90358/8050974. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 90359/8051148. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(a (^a.(^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))))) REDUCED to normal form. ------ 90360/8051445. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 90361/8051724. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(b a))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(b a))) REDUCED to normal form. ------ 90362/8052003. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 90363/8052012. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(z a))) REDUCED to normal form. ------ 90364/8052291. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(b z))) 3. ==[ eta ]==> (((a (a a))((^x.x)(^y.y))) b) 4. ==[ beta ]==> (((a (a a))(^y.y)) b) 5. ==[ alpha ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 90365/8052423. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2))))(^z2.z2)) 5. ==[ beta ]==> ((((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2))))(^z2.z2)) 6. ==[ alpha ]==> ((((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2))))(^y2.y2)) 7. ==[ beta ]==> ((((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2))))(^y2.y2)) 8. ==[ alpha ]==> ((((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1))))(^x2.x2)) 9. ==[ beta ]==> (((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1))))(^x2.x2)) 10. ==[ alpha ]==> (((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1))))(^z1.z1)) 11. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(^z1.z1)) 12. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 13. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.y1)) 14. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 15. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 16. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 17. ==[ beta ]==> ((^y.y)(^z.z)) 18. ==[ alpha ]==> ((^x.x)(^y.y)) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90366/8052795. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90367/8053047. ------ 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)))(^y1.((y1 y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((x1 x1)(^y1.y1)))) 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))) REDUCED to normal form. ------ 90368/8053179. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))((^y.y)(^z.z)))) 3. ==[ eta ]==> (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. ------ 90369/8053728. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(a a)) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 90370/8053911. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(a b))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(a b))) REDUCED to normal form. ------ 90371/8054109. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.b))) 5. ==[ beta ]==> ((a a)(^z.(^x1.b))) 6. ==[ alpha ]==> ((a a)(^x.(^y.b))) REDUCED to normal form. ------ 90372/8054307. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.z))) REDUCED to normal form. ------ 90373/8054496. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 90374/8054619. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))(^b.(^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. ------ 90375/8054829. ------ 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. ------ 90376/8054934. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 90377/8055108. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(^b.(^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. ------ 90378/8055252. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(^b.(^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. ------ 90379/8055387. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(^b.(^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. ------ 90380/8055495. ------ 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)))) REDUCED to normal form. ------ 90381/8055612. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(y (y y)))) 3. ==[ beta ]==> (((a a) b)(^y.(y (y y)))) 4. ==[ alpha ]==> (((a a) b)(^x.(x (x x)))) REDUCED to normal form. ------ 90382/8055882. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 90383/8055933. ------ 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. ------ 90384/8056107. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 90385/8056290. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 90386/8056317. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 90387/8056371. ------ 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. ------ 90388/8056425. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 90389/8056452. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 90390/8056488. ------ 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. ------ 90391/8056515. ------ 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 (^x.x))(a a))(b (a a))) REDUCED to normal form. ------ 90392/8056542. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 90393/8056551. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1))) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 90394/8056731. ------ 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. ------ 90395/8056758. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (b a))) REDUCED to normal form. ------ 90396/8056785. ------ 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. ------ 90397/8056803. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (^y.y))) 3. ==[ beta ]==> ((a a)(b (^y.y))) 4. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 90398/8056812. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)((^a.a) 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. ------ 90399/8056848. ------ 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. ------ 90400/8056884. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 90401/8056902. ------ 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)(^y.y))((b a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.a))) 5. ==[ beta ]==> ((^y.y)((b a)(^z.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. ------ 90402/8056929. ------ 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. ------ 90403/8056956. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 90404/8056965. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 90405/8056992. ------ 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. ------ 90406/8057010. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(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. ------ 90407/8057037. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 90408/8057127. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 90409/8057172. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^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 ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90410/8057199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((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. ------ 90411/8057262. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 90412/8057289. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.(^y1.y1)))) 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)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 90413/8057316. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 90414/8057370. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))(^b.(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. ------ 90415/8057460. ------ 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))))) 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. ------ 90416/8057487. ------ 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. ------ 90417/8057514. ------ 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.x1)))(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a a))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 90418/8057541. ------ 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. ------ 90419/8057568. ------ 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) a))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^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)(^x.x)) a)) REDUCED to normal form. ------ 90420/8057595. ------ 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. ------ 90421/8057802. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 90422/8057829. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 90423/8057847. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((b a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((b a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((b a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 90424/8057910. ------ 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. ------ 90425/8057928. ------ 1. ==[ start ]==> ((a (^a.b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 90426/8058099. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 90427/8058117. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((^y.b)((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 90428/8058261. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 90429/8058288. ------ 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. ------ 90430/8058315. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 90431/8058396. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 90432/8058468. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 90433/8058513. ------ 1. ==[ start ]==> (((a a)(a b))((a b)(a (a a)))) REDUCED to normal form. ------ 90434/8058540. ------ 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. ------ 90435/8058567. ------ 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)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((a a) a))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)((a a) a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a) a))) 9. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 90436/8058594. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (a a))(a b))) REDUCED to normal form. ------ 90437/8058621. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> (a (((^y.y) a)((^z.z)(a a)))) 8. ==[ alpha ]==> (a (((^x.x) 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. ------ 90438/8058648. ------ 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 a)(^z.z)))) REDUCED to normal form. ------ 90439/8058675. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(b a))) REDUCED to normal form. ------ 90440/8058711. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((b a)(^z.z))) 3. ==[ beta ]==> ((^y.(a a))((b a)(^z.z))) 4. ==[ alpha ]==> ((^x.(a a))((b a)(^y.y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 90441/8058738. ------ 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.(^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. ------ 90442/8058792. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((a b)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 7. ==[ beta ]==> ((a b)(^y.(y y))) 8. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 90443/8058873. ------ 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. ------ 90444/8058882. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(a b))) 3. ==[ beta ]==> (((a b) b)((a b)(a b))) REDUCED to normal form. ------ 90445/8058909. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 90446/8058936. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 90447/8058963. ------ 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. ------ 90448/8059008. ------ 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) REDUCED to normal form. ------ 90449/8059017. ------ 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.(^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. ------ 90450/8059044. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(a a))(^b.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. ------ 90451/8059071. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 90452/8059098. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 90453/8059125. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 90454/8059188. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(c (a a))) REDUCED to normal form. ------ 90455/8059215. ------ 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. ------ 90456/8059242. ------ 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))(^y.y))(a (b a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (b a))) REDUCED to normal form. ------ 90457/8059269. ------ 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))) REDUCED to normal form. ------ 90458/8059296. ------ 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 (^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(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. ------ 90459/8059323. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a b) a)) REDUCED to normal form. ------ 90460/8059350. ------ 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. ------ 90461/8059377. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^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. ------ 90462/8059548. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 90463/8059557. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 90464/8059584. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a) b)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (((a a) b)((^x.b)((^y.y) a))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 90465/8059629. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 90466/8059665. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 90467/8059692. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.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. ------ 90468/8059710. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 90469/8059746. ------ 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.y1)((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90470/8059791. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 90471/8059800. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 90472/8059827. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 90473/8059944. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c (a b))) 3. ==[ beta ]==> ((a (a b))(c (a b))) REDUCED to normal form. ------ 90474/8059971. ------ 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. ------ 90475/8059998. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a ((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a ((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a ((a a)(^z.z)))) 7. ==[ beta ]==> ((^y.y)(a ((a a)(^z.z)))) 8. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 90476/8060025. ------ 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. ------ 90477/8060052. ------ 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. ------ 90478/8060079. ------ 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) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 90479/8060106. ------ 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)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (a a))) REDUCED to normal form. ------ 90480/8060133. ------ 1. ==[ start ]==> ((a (b a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a (a a))((^x.x)(^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. ------ 90481/8060304. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a)(^b.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. ------ 90482/8060367. ------ 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)(^x.x)) b)(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.z))) 9. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 10. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 90483/8060412. ------ 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. ------ 90484/8060439. ------ 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)((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. ------ 90485/8060475. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 90486/8060493. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a b) b)) 3. ==[ beta ]==> (((a b)(a b))((a b) b)) REDUCED to normal form. ------ 90487/8060502. ------ 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. ------ 90488/8060556. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^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. ------ 90489/8060583. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 90490/8060610. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.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. ------ 90491/8060637. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 90492/8060682. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a)) a)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 90493/8060700. ------ 1. ==[ start ]==> (((a a)(b a))((a b)(a a))) REDUCED to normal form. ------ 90494/8060727. ------ 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) a)(a (^z.z)))) REDUCED to normal form. ------ 90495/8060754. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a (a a))((^y.y)((^z.z) a))) 8. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) a))) 9. ==[ beta ]==> ((a (a a))((^y.y) a)) 10. ==[ alpha ]==> ((a (a a))((^x.x) a)) 11. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 90496/8060781. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 90497/8060808. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) 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. ------ 90498/8060835. ------ 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.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 90499/8060862. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(a b))) REDUCED to normal form. ------ 90500/8060961. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 90501/8060979. ------ 1. ==[ start ]==> (((^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 y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90502/8061060. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)(^z.b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)(^z.b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(^z.b))) 5. ==[ beta ]==> ((a a)((a a)(^z.b))) 6. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 90503/8061141. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1)) 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. ------ 90504/8061258. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.b)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.b)) REDUCED to normal form. ------ 90505/8061276. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.b) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 90506/8061303. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 90507/8061393. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c (^b.(^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. ------ 90508/8061447. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 90509/8061501. ------ 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 (^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. ------ 90510/8061546. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90511/8061555. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 90512/8061573. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 90513/8061753. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x))(b (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 90514/8061780. ------ 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. ------ 90515/8061807. ------ 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.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) 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. ------ 90516/8061861. ------ 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)((^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. ------ 90517/8061888. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) REDUCED to normal form. ------ 90518/8062059. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(^b.(^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. ------ 90519/8062176. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 90520/8062203. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)(^b.(^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. ------ 90521/8062221. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(^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. ------ 90522/8062248. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1)) 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. ------ 90523/8062338. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a (^b.(^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. ------ 90524/8062365. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 90525/8062383. ------ 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. ------ 90526/8062392. ------ 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) REDUCED to normal form. ------ 90527/8062419. ------ 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.(^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. ------ 90528/8062446. ------ 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. ------ 90529/8062491. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 90530/8062500. ------ 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)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 90531/8062527. ------ 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. ------ 90532/8062563. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a (a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a (a (a a)))) 3. ==[ beta ]==> (((a a) b)(a (a (a a)))) REDUCED to normal form. ------ 90533/8062590. ------ 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. ------ 90534/8062617. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b 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)))) REDUCED to normal form. ------ 90535/8062644. ------ 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. ------ 90536/8062698. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c b)) REDUCED to normal form. ------ 90537/8062725. ------ 1. ==[ start ]==> (((a b)((a a) a))(b c)) REDUCED to normal form. ------ 90538/8062833. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a a)) REDUCED to normal form. ------ 90539/8062860. ------ 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))) REDUCED to normal form. ------ 90540/8062887. ------ 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. ------ 90541/8062923. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 90542/8063058. ------ 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)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 90543/8063165. ------ 1. ==[ start ]==> (^a.((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.x))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 90544/8063166. ------ 1. ==[ start ]==> (a ((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 90545/8064114. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((^x.((^y.y)(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90546/8065059. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(a (^a.(^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 (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 90547/8065653. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.(^z1.z1))))(^z.(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.(^z2.z2)))))) 5. ==[ beta ]==> ((^y.(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.(^z2.z2))))) 6. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 90548/8067633. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 90549/8070120. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a)) a) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a)) 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. ------ 90550/8070126. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90551/8070180. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 90552/8070378. ------ 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))) 5. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 90553/8070399. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 90554/8070621. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 90555/8070720. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (^b.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (^y.y))) 3. ==[ beta ]==> ((b (^y.y))((b (^y.y))(b (^y.y)))) 4. ==[ alpha ]==> ((b (^x.x))((b (^y.y))(b (^z.z)))) REDUCED to normal form. ------ 90556/8071071. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)((^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. ------ 90557/8071074. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((a ((^x.x)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 90558/8071398. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 90559/8072010. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 90560/8072016. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(a (^z.(^x1.x1))))) 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. ------ 90561/8072019. ------ 1. ==[ start ]==> ((a (a b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 90562/8072403. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (^y.((((^z.z)(a a))((^x1.x1) a))(((^z.z)(a a))((^x1.x1) a)))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a))((^z.z) a))(((^x1.x1)(a a))((^y1.y1) a)))) 5. ==[ beta ]==> (^x.(((a a)((^z.z) a))(((^x1.x1)(a a))((^y1.y1) a)))) 6. ==[ alpha ]==> (^x.(((a a)((^y.y) a))(((^z.z)(a a))((^x1.x1) a)))) 7. ==[ beta ]==> (^x.(((a a) a)(((^z.z)(a a))((^x1.x1) a)))) 8. ==[ alpha ]==> (^x.(((a a) a)(((^y.y)(a a))((^z.z) a)))) 9. ==[ beta ]==> (^x.(((a a) a)((a a)((^z.z) a)))) 10. ==[ alpha ]==> (^x.(((a a) a)((a a)((^y.y) a)))) 11. ==[ beta ]==> (^x.(((a a) a)((a a) a))) REDUCED to normal form. ------ 90563/8072610. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.(^y1.y1))))(a (^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.(^x1.x1))))(a (^y1.(^z1.(^x2.x2)))))) 5. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 90564/8072613. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 90565/8072874. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^d.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.a))) REDUCED to normal form. ------ 90566/8073657. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(^c.(^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. ------ 90567/8073909. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.(^c.(^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. ------ 90568/8074134. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (b (^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 7. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 90569/8074590. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a ((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 90570/8074593. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 90571/8074800. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(y y)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 90572/8074878. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^x1.(^y1.y1))((^z1.z1) a))(^y.(^z.z))) 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. ------ 90573/8075187. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(a 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))) REDUCED to normal form. ------ 90574/8075349. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 90575/8075529. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((a a) a))) REDUCED to normal form. ------ 90576/8075691. ------ 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. ------ 90577/8075796. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c (^z.(z z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 90578/8075970. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.e)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.e)) 3. ==[ beta ]==> (b (^z.e)) 4. ==[ alpha ]==> (b (^x.e)) REDUCED to normal form. ------ 90579/8076132. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.((^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 (^x.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 90580/8076474. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 90581/8076582. ------ 1. ==[ start ]==> ((((^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 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(z z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 90582/8076663. ------ 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.((^y1.y1) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 90583/8076744. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 90584/8076795. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((b (^y.(^z.z)))(b (^y.(^z.z))))((b (^y.(^z.z)))(b (^y.(^z.z))))) 4. ==[ alpha ]==> (((b (^x.(^y.y)))(b (^z.(^x1.x1))))((b (^y1.(^z1.z1)))(b (^x2.(^y2.y2))))) REDUCED to normal form. ------ 90585/8076969. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 90586/8077077. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.y1)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90587/8077089. ------ 1. ==[ start ]==> ((a a)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 90588/8077143. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 90589/8077197. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.b))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 90590/8077341. ------ 1. ==[ start ]==> ((a (^b.a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))(b ((^y.y) b))) 3. ==[ beta ]==> ((a (^x.a))(b b)) REDUCED to normal form. ------ 90591/8077377. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 90592/8077422. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 90593/8077449. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((b a)((^y1.y1) 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. ------ 90594/8077503. ------ 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))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 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)))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 90595/8077530. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 90596/8077584. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 90597/8077683. ------ 1. ==[ start ]==> ((a (a (a a)))(b (^b.b))) 2. ==[ alpha ]==> ((a (a (a a)))(b (^x.x))) REDUCED to normal form. ------ 90598/8077692. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)((^z.z) b))) 3. ==[ beta ]==> ((^y.(y y))((a a)((^z.z) b))) 4. ==[ alpha ]==> ((^x.(x x))((a a)((^y.y) b))) 5. ==[ beta ]==> (((a a)((^y.y) b))((a a)((^y.y) 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. ------ 90599/8077755. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.(^a.a)))(^a.(^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)))) REDUCED to normal form. ------ 90600/8077782. ------ 1. ==[ start ]==> (((a (a a)) a)((b a)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)((b a)(^x.a))) REDUCED to normal form. ------ 90601/8077809. ------ 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))(^z.(z z)))) REDUCED to normal form. ------ 90602/8077836. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 90603/8077863. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 90604/8077890. ------ 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. ------ 90605/8077926. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 90606/8077953. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 90607/8077980. ------ 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. ------ 90608/8077998. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b b)((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 90609/8078007. ------ 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 (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 90610/8078034. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 90611/8078331. ------ 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)(^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. ------ 90612/8078358. ------ 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 (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 90613/8078502. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^y1.y1)(^z1.z1)))) 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. ------ 90614/8078556. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))(a b))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(a b))) 7. ==[ beta ]==> (a ((^y.y)(a b))) 8. ==[ alpha ]==> (a ((^x.x)(a b))) 9. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 90615/8078637. ------ 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))) REDUCED to normal form. ------ 90616/8078664. ------ 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 (^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. ------ 90617/8078700. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 90618/8078727. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 90619/8078754. ------ 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 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. ------ 90620/8078781. ------ 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.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 90621/8078817. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 90622/8078871. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^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. ------ 90623/8078898. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(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)))) 9. ==[ beta ]==> (((a (a a)) a)((a a)(a a))) REDUCED to normal form. ------ 90624/8078925. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 90625/8078952. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^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. ------ 90626/8078970. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 90627/8078979. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(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. ------ 90628/8079258. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b (b a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (b a))) REDUCED to normal form. ------ 90629/8079294. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1))) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 90630/8079339. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 90631/8079348. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^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. ------ 90632/8079366. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a) a)) REDUCED to normal form. ------ 90633/8079573. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 90634/8079753. ------ 1. ==[ start ]==> (((a b) b)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a b) b)((a (a a))(^x.b))) REDUCED to normal form. ------ 90635/8079780. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) 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. ------ 90636/8079807. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 90637/8079888. ------ 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)) REDUCED to normal form. ------ 90638/8080032. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.b))) 5. ==[ beta ]==> (((a a)(a a))((^y.b)(^y.b))) 6. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.b))) 7. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 90639/8080059. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.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. ------ 90640/8080185. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 90641/8080284. ------ 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. ------ 90642/8080428. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a))(^a.(^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. ------ 90643/8080455. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b)(^b.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. ------ 90644/8080482. ------ 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. ------ 90645/8080536. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))(^z.a))) REDUCED to normal form. ------ 90646/8080563. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.b))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.b))) REDUCED to normal form. ------ 90647/8080617. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90648/8080644. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 90649/8080671. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 90650/8080698. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 90651/8080761. ------ 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.(^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. ------ 90652/8080815. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.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. ------ 90653/8080842. ------ 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. ------ 90654/8081094. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (b ((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 90655/8081238. ------ 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)))) REDUCED to normal form. ------ 90656/8081346. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((a (^x.(a a)))((a a) a)) REDUCED to normal form. ------ 90657/8081373. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a b) b)) REDUCED to normal form. ------ 90658/8081553. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 90659/8081733. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b (^x.b))) REDUCED to normal form. ------ 90660/8081760. ------ 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. ------ 90661/8081787. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 90662/8081832. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90663/8081841. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 90664/8082120. ------ 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. ------ 90665/8082147. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 90666/8082156. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.b) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 90667/8082174. ------ 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)(((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. ------ 90668/8082228. ------ 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) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (a a))((^z.z) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))((a (a a))((^y.y) a))) 8. ==[ alpha ]==> (((a a)(a a))((a (a a))((^x.x) a))) 9. ==[ beta ]==> (((a a)(a a))((a (a a)) a)) REDUCED to normal form. ------ 90669/8082309. ------ 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 ((a a)((a a) a))) REDUCED to normal form. ------ 90670/8082345. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 90671/8082372. ------ 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)(^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. ------ 90672/8082426. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 90673/8082462. ------ 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)(^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. ------ 90674/8082489. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a) a)) REDUCED to normal form. ------ 90675/8082543. ------ 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. ------ 90676/8082570. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a))(^b.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. ------ 90677/8082597. ------ 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. ------ 90678/8082624. ------ 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.(^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. ------ 90679/8082723. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(x1 x1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90680/8082759. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c (^y.(y y)))) 3. ==[ beta ]==> ((a b)(c (^y.(y y)))) 4. ==[ alpha ]==> ((a b)(c (^x.(x x)))) REDUCED to normal form. ------ 90681/8082768. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 90682/8082795. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 90683/8083092. ------ 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. ------ 90684/8083101. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(^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. ------ 90685/8083119. ------ 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))(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. ------ 90686/8083128. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b b)) REDUCED to normal form. ------ 90687/8083173. ------ 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 (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 90688/8083236. ------ 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. ------ 90689/8083263. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a)(^a.(^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. ------ 90690/8083290. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 90691/8083317. ------ 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 z)))) REDUCED to normal form. ------ 90692/8083371. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1) a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a b)) REDUCED to normal form. ------ 90693/8083398. ------ 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. ------ 90694/8083434. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a a) b)(^y.(y y))) 6. ==[ alpha ]==> (((a a) b)(^x.(x x))) REDUCED to normal form. ------ 90695/8083488. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 90696/8083515. ------ 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. ------ 90697/8083542. ------ 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 (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a (^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (^z.(z z)))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (^y.(y y)))) 7. ==[ beta ]==> ((a a)(a (^y.(y y)))) 8. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 90698/8083569. ------ 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) REDUCED to normal form. ------ 90699/8083596. ------ 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)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 90700/8083623. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 9. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 90701/8083650. ------ 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. ------ 90702/8083704. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.a)) REDUCED to normal form. ------ 90703/8083731. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c (^y.y))) 3. ==[ beta ]==> ((b (a a))(c (^y.y))) 4. ==[ alpha ]==> ((b (a a))(c (^x.x))) REDUCED to normal form. ------ 90704/8083758. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 90705/8083794. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c a)) 3. ==[ beta ]==> ((^y.y)(c a)) 4. ==[ alpha ]==> ((^x.x)(c a)) 5. ==[ beta ]==> (c a) REDUCED to normal form. ------ 90706/8083929. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(a a))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 90707/8084037. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(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. ------ 90708/8085939. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.(^y1.y1)))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1)))) b) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 90709/8088513. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 90710/8091000. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a)) b) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a)) 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. ------ 90711/8091024. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90712/8091105. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90713/8091267. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90714/8091306. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 90715/8091339. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.b) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z) b)) 3. ==[ eta ]==> ((^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. ------ 90716/8091648. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 90717/8091834. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90718/8091960. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((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. ------ 90719/8091972. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 90720/8092602. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 90721/8092725. ------ 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. ------ 90722/8092905. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^y.(^z.(^x1.x1)))) b) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 90723/8092908. ------ 1. ==[ start ]==> ((a (a b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 90724/8092917. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(a (^a.(^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. ------ 90725/8093223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(a (^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. ------ 90726/8093511. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 90727/8095479. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 90728/8095482. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 90729/8095767. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1))(^z1.a))(^y.(^z.z))) 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. ------ 90730/8096076. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 90731/8096085. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(x1 b))) REDUCED to normal form. ------ 90732/8096247. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 90733/8096370. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.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. ------ 90734/8096418. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.a))) REDUCED to normal form. ------ 90735/8097021. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(^b.(^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. ------ 90736/8097030. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 90737/8097138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a (a a)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a (a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 90738/8097363. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.d)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.d)) 3. ==[ beta ]==> (((a a) b)(^y.d)) 4. ==[ alpha ]==> (((a a) b)(^x.d)) REDUCED to normal form. ------ 90739/8097684. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((^y.(^z.z)) b)((^y.(^z.z)) b))(((^y.(^z.z)) b)((^y.(^z.z)) b))) 4. ==[ alpha ]==> ((((^x.(^y.y)) b)((^z.(^x1.x1)) b))(((^y1.(^z1.z1)) b)((^x2.(^y2.y2)) b))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) b))(((^y1.(^z1.z1)) b)((^x2.(^y2.y2)) b))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) b))(((^x1.(^y1.y1)) b)((^z1.(^x2.x2)) b))) 7. ==[ beta ]==> (((^y.(^z.z)) b)(((^x1.(^y1.y1)) b)((^z1.(^x2.x2)) b))) 8. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.(^x1.x1)) b)((^y1.(^z1.z1)) b))) 9. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) b)((^y1.(^z1.z1)) b))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) b)((^x1.(^y1.y1)) b))) 11. ==[ beta ]==> (((^y.(^z.z)) b)((^x1.(^y1.y1)) b)) 12. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) b)) 13. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 15. ==[ beta ]==> ((^y.(^z.z)) b) 16. ==[ alpha ]==> ((^x.(^y.y)) b) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90740/8097723. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 90741/8097966. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90742/8097996. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 90743/8098077. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 90744/8098158. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 90745/8098212. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 90746/8098239. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 90747/8098275. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 90748/8098311. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.b) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y) b)) 3. ==[ beta ]==> ((a a)((^y.y) b)) 4. ==[ alpha ]==> ((a a)((^x.x) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 90749/8098356. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((b a) a)) REDUCED to normal form. ------ 90750/8098383. ------ 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. ------ 90751/8098410. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)((^y.y)(^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. ------ 90752/8098437. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)((a a) a))) REDUCED to normal form. ------ 90753/8098464. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^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. ------ 90754/8098572. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 90755/8098590. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.z))) 3. ==[ beta ]==> ((^y.(y y))(b (^z.z))) 4. ==[ alpha ]==> ((^x.(x x))(b (^y.y))) 5. ==[ beta ]==> ((b (^y.y))(b (^y.y))) 6. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 90756/8098617. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 90757/8098671. ------ 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 ]==> (((^y.y)(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 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. ------ 90758/8098779. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(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. ------ 90759/8098806. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 90760/8098824. ------ 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)))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.(a a))) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 90761/8098905. ------ 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.(^z.(^x1.x1))))) REDUCED to normal form. ------ 90762/8098932. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((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. ------ 90763/8098941. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90764/8098968. ------ 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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90765/8099076. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 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 a) REDUCED to normal form. ------ 90766/8099103. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^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. ------ 90767/8099157. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(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. ------ 90768/8099283. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) 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 a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 90769/8099310. ------ 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. ------ 90770/8099490. ------ 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. ------ 90771/8099517. ------ 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)))) 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. ------ 90772/8099562. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.(^x2.x2))))) 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. ------ 90773/8099571. ------ 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 (^x1.(^y1.y1))))) REDUCED to normal form. ------ 90774/8099616. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(a a))) 7. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a a))) 8. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a a))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 90775/8099697. ------ 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. ------ 90776/8099715. ------ 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. ------ 90777/8099769. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.b))) 7. ==[ beta ]==> ((a (a (a a)))(^y.b)) 8. ==[ alpha ]==> ((a (a (a a)))(^x.b)) REDUCED to normal form. ------ 90778/8099796. ------ 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. ------ 90779/8099877. ------ 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. ------ 90780/8099886. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.b)((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 90781/8100048. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 90782/8100075. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^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. ------ 90783/8100102. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(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. ------ 90784/8100138. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((a a)(^z.z)))) REDUCED to normal form. ------ 90785/8100165. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (b a))) REDUCED to normal form. ------ 90786/8100192. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a (a (^a.(^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 REDUCED to normal form. ------ 90787/8100219. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a)(a a))) REDUCED to normal form. ------ 90788/8100246. ------ 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)))) REDUCED to normal form. ------ 90789/8100435. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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)))) REDUCED to normal form. ------ 90790/8100480. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(a a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(a a))(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 90791/8100561. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 8. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 90792/8100642. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 90793/8100696. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((^y.a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 90794/8100723. ------ 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 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. ------ 90795/8100858. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 90796/8101083. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 90797/8101092. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a)) c)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 90798/8101317. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 90799/8101425. ------ 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)(^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. ------ 90800/8101479. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)(a b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(a b))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 90801/8101560. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 90802/8101821. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 90803/8101848. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.b) c)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b) c)) 5. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 90804/8101992. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.(a a)))) 5. ==[ beta ]==> (b (b (^z.(a a)))) 6. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 90805/8102073. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 90806/8102181. ------ 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. ------ 90807/8102208. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^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. ------ 90808/8102262. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a b)(a b))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(a a))(^y.y))) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 90809/8102343. ------ 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. ------ 90810/8102451. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(a a))) REDUCED to normal form. ------ 90811/8102469. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(a a)) a)) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 90812/8102496. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.b) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 90813/8102685. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 90814/8102739. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.a)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.a)) REDUCED to normal form. ------ 90815/8102748. ------ 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))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90816/8102829. ------ 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))((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. ------ 90817/8102910. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.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. ------ 90818/8103027. ------ 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. ------ 90819/8103045. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.b)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 90820/8103054. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (a b))) REDUCED to normal form. ------ 90821/8103135. ------ 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. ------ 90822/8103162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 90823/8103207. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (b (b (^x1.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 90824/8103216. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 90825/8103315. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90826/8103342. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 90827/8103360. ------ 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.(^y1.y1)))) REDUCED to normal form. ------ 90828/8103387. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.a))) REDUCED to normal form. ------ 90829/8103414. ------ 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. ------ 90830/8103441. ------ 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. ------ 90831/8103468. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (a a)) c)) 3. ==[ beta ]==> (((^y.y)(a b))((a (a a)) c)) 4. ==[ alpha ]==> (((^x.x)(a b))((a (a a)) c)) 5. ==[ beta ]==> ((a b)((a (a a)) c)) REDUCED to normal form. ------ 90832/8103621. ------ 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. ------ 90833/8103666. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(c (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(y y)))) 5. ==[ beta ]==> (c (^y.(y y))) 6. ==[ alpha ]==> (c (^x.(x x))) REDUCED to normal form. ------ 90834/8103693. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (^b.(^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. ------ 90835/8103828. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^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. ------ 90836/8103936. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a)(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90837/8103945. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(c a)) REDUCED to normal form. ------ 90838/8103972. ------ 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. ------ 90839/8103990. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)(^b.(^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. ------ 90840/8103999. ------ 1. ==[ start ]==> (((a a)(^b.b))(a ((^a.a)(^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. ------ 90841/8104026. ------ 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))(a a))) REDUCED to normal form. ------ 90842/8104107. ------ 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 a) REDUCED to normal form. ------ 90843/8104152. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(y y))(a a))) 3. ==[ beta ]==> (b ((^y.(y y))(a a))) 4. ==[ alpha ]==> (b ((^x.(x x))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 90844/8104161. ------ 1. ==[ start ]==> (((a b)(^c.a))(d b)) 2. ==[ alpha ]==> (((a b)(^x.a))(d b)) REDUCED to normal form. ------ 90845/8104188. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c c)) REDUCED to normal form. ------ 90846/8104260. ------ 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. ------ 90847/8104296. ------ 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. ------ 90848/8104359. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 90849/8104386. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.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)) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 90850/8104467. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x) 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. ------ 90851/8104494. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 90852/8104521. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 90853/8104548. ------ 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. ------ 90854/8104629. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a) a)) 3. ==[ beta ]==> ((b (a a))((^y.a) a)) 4. ==[ alpha ]==> ((b (a a))((^x.a) a)) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 90855/8104656. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 90856/8104692. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 90857/8104827. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.z))) 3. ==[ beta ]==> (b (b (^z.z))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 90858/8104935. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(a (^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90859/8111907. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a)) c) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a)) 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. ------ 90860/8112222. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 90861/8112231. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((y y)(y y)))) REDUCED to normal form. ------ 90862/8112255. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) b)(a a))) 3. ==[ eta ]==> ((^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. ------ 90863/8112525. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^z.(^x1.x1))))(((a (^y.y))(a (^z.(^x1.x1))))((a (^y.y))(a (^z.(^x1.x1)))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((a (^x1.x1))(a (^y1.(^z1.z1))))((a (^x2.x2))(a (^y2.(^z2.z2)))))) REDUCED to normal form. ------ 90864/8112750. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90865/8112888. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^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. ------ 90866/8113230. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z) b))) 5. ==[ beta ]==> ((a a)(^y.((^z.z) b))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y) b))) 7. ==[ beta ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 90867/8113308. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((((a a)(^y.y))((^z.z) a))(((a a)(^y.y))((^z.z) a)))(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((((a a)(^x.x))((^y.y) a))(((a a)(^z.z))((^x1.x1) a)))(((a a)(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> (((((a a)(^x.x)) a)(((a a)(^z.z))((^x1.x1) a)))(((a a)(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> (((((a a)(^x.x)) a)(((a a)(^y.y))((^z.z) a)))(((a a)(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> (((((a a)(^x.x)) a)(((a a)(^y.y)) a))(((a a)(^x1.x1))((^y1.y1) a))) 8. ==[ alpha ]==> (((((a a)(^x.x)) a)(((a a)(^y.y)) a))(((a a)(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> (((((a a)(^x.x)) a)(((a a)(^y.y)) a))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 90868/8113545. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 90869/8113641. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 90870/8113833. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 90871/8114139. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 90872/8114208. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1)) c)((^z.(^x1.x1)) c))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z)) c)((^x1.(^y1.y1)) c))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1)) c))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1)) c))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1)) c)) 8. ==[ alpha ]==> (^x.((^y.(^z.z)) c)) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 90873/8114415. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)(((a a)(b a))((a a)(b a)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(b a))((a a)(b a)))) 5. ==[ beta ]==> (((a a)(b a))((a a)(b a))) REDUCED to normal form. ------ 90874/8114985. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(a (a a))) b) 4. ==[ beta ]==> (((^y.y)(a (a a))) b) 5. ==[ alpha ]==> (((^x.x)(a (a a))) b) 6. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 90875/8115090. ------ 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. ------ 90876/8115489. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 90877/8115741. ------ 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. ------ 90878/8115846. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))(a (a a)))) 3. ==[ eta ]==> (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. ------ 90879/8116191. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 90880/8116416. ------ 1. ==[ start ]==> (((a a)(b a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a a)(b a))(^x.(x x))) REDUCED to normal form. ------ 90881/8117001. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.x1))) REDUCED to normal form. ------ 90882/8117190. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.b))) REDUCED to normal form. ------ 90883/8117286. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90884/8117523. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.((z z) z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.((z z) z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((y y) y))) REDUCED to normal form. ------ 90885/8117601. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 90886/8117946. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 90887/8118081. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 90888/8118306. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(x1 (x1 x1)))) REDUCED to normal form. ------ 90889/8118576. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x) 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. ------ 90890/8118600. ------ 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)))) REDUCED to normal form. ------ 90891/8118639. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 90892/8118882. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90893/8118930. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 90894/8119011. ------ 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))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 90895/8119038. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 90896/8119065. ------ 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. ------ 90897/8119092. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 90898/8119146. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 90899/8119182. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b ((^y.y) b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(b b)) REDUCED to normal form. ------ 90900/8119200. ------ 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)((^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. ------ 90901/8119209. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a ((a a)(a a)))) REDUCED to normal form. ------ 90902/8119236. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(a a))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(a a))) 5. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 90903/8119245. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z) b)) 3. ==[ beta ]==> ((^y.a)((^z.z) b)) 4. ==[ alpha ]==> ((^x.a)((^y.y) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 90904/8119425. ------ 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.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. ------ 90905/8119452. ------ 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. ------ 90906/8119479. ------ 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. ------ 90907/8119506. ------ 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. ------ 90908/8119578. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.b)(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. ------ 90909/8119596. ------ 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 ]==> (((^y.y)(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 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))) REDUCED to normal form. ------ 90910/8119605. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 90911/8119623. ------ 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. ------ 90912/8119650. ------ 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))(^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. ------ 90913/8119659. ------ 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. ------ 90914/8119686. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(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)))(a a)) REDUCED to normal form. ------ 90915/8119704. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(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. ------ 90916/8119713. ------ 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. ------ 90917/8119731. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.b))) REDUCED to normal form. ------ 90918/8119821. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(b a))) 3. ==[ beta ]==> ((b b)((^y.a)(b a))) 4. ==[ alpha ]==> ((b b)((^x.a)(b a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 90919/8119866. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(^b.b))) 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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 90920/8119893. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^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. ------ 90921/8119947. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a) c)) 5. ==[ beta ]==> ((^y.y)((b a) c)) 6. ==[ alpha ]==> ((^x.x)((b a) c)) 7. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 90922/8120010. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(a a))(^b.(^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. ------ 90923/8120037. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 90924/8120064. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 90925/8120091. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^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. ------ 90926/8120181. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 90927/8120208. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a ((^z.z) b))) 3. ==[ beta ]==> ((a ((^y.y) a))(a ((^z.z) b))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 90928/8120235. ------ 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. ------ 90929/8120262. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((b 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. ------ 90930/8120289. ------ 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)(^x.x)) a)) REDUCED to normal form. ------ 90931/8120496. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 90932/8120523. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (^z.z))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 90933/8120541. ------ 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.x1)))(^y1.y1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.x1))) 8. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 90934/8120550. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.(^x1.x1)))(a 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. ------ 90935/8120622. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.b))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(y y)))) REDUCED to normal form. ------ 90936/8120793. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 90937/8120811. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.b)((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.b)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 90938/8120955. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 90939/8120982. ------ 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. ------ 90940/8121009. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 90941/8121063. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 90942/8121117. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 90943/8121189. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 90944/8121207. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(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. ------ 90945/8121234. ------ 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. ------ 90946/8121261. ------ 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)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(((a a) a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 90947/8121288. ------ 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 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))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a) a)) REDUCED to normal form. ------ 90948/8121315. ------ 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. ------ 90949/8121342. ------ 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)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 90950/8121360. ------ 1. ==[ start ]==> (((^a.b) b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 90951/8121369. ------ 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)))) REDUCED to normal form. ------ 90952/8121396. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(b a))) 3. ==[ beta ]==> ((a (a a))((a a)(b a))) REDUCED to normal form. ------ 90953/8121432. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((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. ------ 90954/8121486. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(a a))(^b.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. ------ 90955/8121567. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 90956/8121576. ------ 1. ==[ start ]==> (((a b) b)((^b.(^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. ------ 90957/8121603. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(a b))) 5. ==[ beta ]==> (((a a) a)((a b)(a b))) REDUCED to normal form. ------ 90958/8121621. ------ 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)))) 7. ==[ beta ]==> ((a a)(a (^y.(a a)))) 8. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 90959/8121630. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 90960/8121648. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 90961/8121657. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 90962/8121702. ------ 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 ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((b a) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))((b a) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((b a) a)) 9. ==[ beta ]==> ((^y.y)((b a) a)) 10. ==[ alpha ]==> ((^x.x)((b a) a)) 11. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 90963/8121765. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(a a))(^b.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. ------ 90964/8121792. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 90965/8121936. ------ 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 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. ------ 90966/8121963. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(a (b a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(a (b a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(a (b a))) 5. ==[ beta ]==> ((a (a a))(a (b a))) REDUCED to normal form. ------ 90967/8121990. ------ 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) a)(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 90968/8122017. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 90969/8122044. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a 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. ------ 90970/8122071. ------ 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. ------ 90971/8122242. ------ 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 a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 90972/8122251. ------ 1. ==[ start ]==> (((a b) c)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 90973/8122278. ------ 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 a)) REDUCED to normal form. ------ 90974/8122305. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 90975/8122323. ------ 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.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 90976/8122350. ------ 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.(^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. ------ 90977/8122359. ------ 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)(^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. ------ 90978/8122386. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a (^x.b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 90979/8122404. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.b))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.b))) REDUCED to normal form. ------ 90980/8122440. ------ 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.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. ------ 90981/8122467. ------ 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)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 90982/8122485. ------ 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 (((a a)(^z.z)) a)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 90983/8122494. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 90984/8122521. ------ 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))(^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. ------ 90985/8122548. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b)(^b.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. ------ 90986/8122692. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b ((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.y)(b ((^z.z)(a a)))) 8. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 9. ==[ beta ]==> (b ((^y.y)(a a))) 10. ==[ alpha ]==> (b ((^x.x)(a a))) 11. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 90987/8122719. ------ 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. ------ 90988/8122746. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 90989/8122773. ------ 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)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 90990/8122800. ------ 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. ------ 90991/8122827. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^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. ------ 90992/8122998. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b)(^a.(^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. ------ 90993/8123061. ------ 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)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 90994/8123106. ------ 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. ------ 90995/8123133. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 90996/8123169. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(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. ------ 90997/8123187. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(a a)) a)) 5. ==[ beta ]==> (((a b)(a b))((a a) a)) REDUCED to normal form. ------ 90998/8123196. ------ 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. ------ 90999/8123250. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a)(^b.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. ------ 91000/8123277. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 91001/8123304. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 91002/8123331. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 91003/8123394. ------ 1. ==[ start ]==> (((a a)(b a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(a ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(b a))(a (a a))) REDUCED to normal form. ------ 91004/8123421. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 91005/8123448. ------ 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)(a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x)(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. ------ 91006/8123475. ------ 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. ------ 91007/8123502. ------ 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 (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 91008/8123529. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 91009/8123556. ------ 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. ------ 91010/8123583. ------ 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))) 5. ==[ beta ]==> (((a a) a)((a a)(a b))) REDUCED to normal form. ------ 91011/8123673. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 91012/8123754. ------ 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 a))(^y.(a a)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.(a 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. ------ 91013/8123835. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 91014/8123979. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.b)) REDUCED to normal form. ------ 91015/8123997. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.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) 7. ==[ beta ]==> b REDUCED to normal form. ------ 91016/8124051. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z)) c)) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z)) c)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) c)) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 91017/8124141. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 91018/8124168. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a (^z.b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 91019/8124195. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 91020/8124240. ------ 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 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. ------ 91021/8124249. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(((^y1.y1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a ((^y1.y1) a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a ((^x1.x1) a))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 91022/8124267. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^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. ------ 91023/8124447. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c (a (a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(c (a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (a (a a)))) REDUCED to normal form. ------ 91024/8124474. ------ 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. ------ 91025/8124501. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a ((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((a a) a))) REDUCED to normal form. ------ 91026/8124555. ------ 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. ------ 91027/8124582. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((a b)(((^x.x) 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. ------ 91028/8124753. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 91029/8124870. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 91030/8124897. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 91031/8124924. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)(^b.(^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. ------ 91032/8124942. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) 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. ------ 91033/8124996. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a) c)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a) c)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 91034/8125032. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(b (^z.(z z)))) 6. ==[ alpha ]==> ((^x.(a a))(b (^y.(y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 91035/8125059. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 91036/8125077. ------ 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. ------ 91037/8125086. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a b)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 91038/8125113. ------ 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) REDUCED to normal form. ------ 91039/8125140. ------ 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.(^x1.x1))((^y1.y1) 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. ------ 91040/8125185. ------ 1. ==[ start ]==> (((^a.(^a.(^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))((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. ------ 91041/8125194. ------ 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))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 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. ------ 91042/8125221. ------ 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. ------ 91043/8125257. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(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. ------ 91044/8125284. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (a (a a)))) REDUCED to normal form. ------ 91045/8125311. ------ 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. ------ 91046/8125338. ------ 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. ------ 91047/8125365. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a)((^z.z) a))) 6. ==[ alpha ]==> (((^x.x)(a a))((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. ------ 91048/8125419. ------ 1. ==[ start ]==> (((a b)((a a) a))(c b)) REDUCED to normal form. ------ 91049/8125446. ------ 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)(^y.y))(b c)) 6. ==[ alpha ]==> (((a a)(^x.x))(b c)) REDUCED to normal form. ------ 91050/8125527. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (a (^x1.x1)))) REDUCED to normal form. ------ 91051/8125554. ------ 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))) 5. ==[ beta ]==> ((b (a a))(a a)) REDUCED to normal form. ------ 91052/8125581. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 91053/8125617. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 91054/8125752. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 91055/8125860. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^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. ------ 91056/8125886. ------ 1. ==[ start ]==> (^a.((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 91057/8125887. ------ 1. ==[ start ]==> (a ((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 91058/8132874. ------ 1. ==[ start ]==> ((^a.a)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(^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. ------ 91059/8132901. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.a))((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.(^x2.x2)))(^y2.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(^y2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91060/8133009. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((^z.b)(^x1.b))(^y.y)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 91061/8133126. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.(c (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 91062/8133174. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 91063/8133369. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 91064/8133507. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 91065/8133819. ------ 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 (^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. ------ 91066/8134173. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(^b.b))) 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))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 91067/8134764. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(b a)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(b a)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 91068/8135151. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((((a a)(^z.z))(a (^x1.x1)))(((a a)(^z.z))(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.((((a a)(^y.y))(a (^z.z)))(((a a)(^x1.x1))(a (^y1.y1))))) REDUCED to normal form. ------ 91069/8135370. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(b a))) 3. ==[ beta ]==> ((^y.(a a))(^z.(b a))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(b a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 91070/8136684. ------ 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. ------ 91071/8137134. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 91072/8137338. ------ 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. ------ 91073/8137359. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 91074/8137575. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 91075/8137962. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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)) REDUCED to normal form. ------ 91076/8138304. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.((a a) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 91077/8138466. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.a))) REDUCED to normal form. ------ 91078/8138907. ------ 1. ==[ start ]==> (((^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)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(^x2.x2)))) 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. ------ 91079/8139249. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 91080/8139357. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 91081/8139438. ------ 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. ------ 91082/8139519. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.a))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.a))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.a))) REDUCED to normal form. ------ 91083/8139582. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 91084/8139717. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 91085/8139825. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(y1 y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91086/8139864. ------ 1. ==[ start ]==> ((a a)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 91087/8139891. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 91088/8139972. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 91089/8139999. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.b))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 91090/8140116. ------ 1. ==[ start ]==> ((a (^b.a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 91091/8140134. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))(^b.b))) 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. ------ 91092/8140197. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((^y.a)(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) b)(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 91093/8140224. ------ 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 (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(a (^x2.x2)))) 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. ------ 91094/8140233. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 91095/8140278. ------ 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. ------ 91096/8140305. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^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. ------ 91097/8140359. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(a b))) REDUCED to normal form. ------ 91098/8140467. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (^y.y))(a (^z.(^x1.x1))))((a (^y.y))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 91099/8140494. ------ 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 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. ------ 91100/8140530. ------ 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. ------ 91101/8140557. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 91102/8140584. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b a)(^y.a))) REDUCED to normal form. ------ 91103/8140611. ------ 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))(^x1.(x1 x1)))) REDUCED to normal form. ------ 91104/8140638. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(a a))(^b.(^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. ------ 91105/8140665. ------ 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. ------ 91106/8140728. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 91107/8140755. ------ 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. ------ 91108/8140782. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(b a))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 91109/8140809. ------ 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 (^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. ------ 91110/8140908. ------ 1. ==[ start ]==> (((a (a a)) b)((b a) c)) REDUCED to normal form. ------ 91111/8141133. ------ 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))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 91112/8141160. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)(^b.b))) 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 91113/8141277. ------ 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. ------ 91114/8141331. ------ 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. ------ 91115/8141412. ------ 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)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((^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. ------ 91116/8141439. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(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. ------ 91117/8141502. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 91118/8141529. ------ 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.(^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. ------ 91119/8141556. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 91120/8141592. ------ 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. ------ 91121/8141619. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 91122/8141673. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 91123/8141700. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(((^z.z)(a a))((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z)(a a)))) 9. ==[ beta ]==> ((a (^x.x))((a a)((^z.z)(a a)))) 10. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(a a)))) 11. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 91124/8141727. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 91125/8141754. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(b a))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 91126/8142096. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 91127/8142114. ------ 1. ==[ start ]==> (((^a.b)(a a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))((b a)(a a))) 3. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 91128/8142141. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 91129/8142321. ------ 1. ==[ start ]==> (((a b)(a a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 91130/8142357. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(b a))) 3. ==[ beta ]==> ((^y.(a a))((a a)(b a))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(b a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 91131/8142528. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) b)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a b) b)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a b) b)(^y.a)) 6. ==[ alpha ]==> (((a b) b)(^x.a)) REDUCED to normal form. ------ 91132/8142555. ------ 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. ------ 91133/8142582. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 91134/8142609. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 91135/8142663. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 91136/8142690. ------ 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)) REDUCED to normal form. ------ 91137/8142717. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(a a)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a) c)) REDUCED to normal form. ------ 91138/8142807. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 91139/8142834. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 91140/8142861. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a 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. ------ 91141/8142960. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 91142/8143059. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 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. ------ 91143/8143203. ------ 1. ==[ start ]==> (((a b) c)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) c)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 91144/8143230. ------ 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.(^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. ------ 91145/8143257. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(^y.a))) REDUCED to normal form. ------ 91146/8143311. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 91147/8143338. ------ 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. ------ 91148/8143392. ------ 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 (^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91149/8143446. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 91150/8143473. ------ 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)(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. ------ 91151/8143500. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b) c)) REDUCED to normal form. ------ 91152/8143563. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^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. ------ 91153/8143590. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 91154/8143617. ------ 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. ------ 91155/8143644. ------ 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)))((^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. ------ 91156/8143869. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))(a b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(a b))) 5. ==[ beta ]==> (b ((a (^z.z))(a b))) 6. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 91157/8144013. ------ 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)(^x.x)) b)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.(z z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(y y))) REDUCED to normal form. ------ 91158/8144121. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 91159/8144148. ------ 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. ------ 91160/8144202. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a) c)) REDUCED to normal form. ------ 91161/8144328. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (a b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (a b))) REDUCED to normal form. ------ 91162/8144346. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(^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. ------ 91163/8144508. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c (^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c (^x.a))) REDUCED to normal form. ------ 91164/8144535. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b (^z.b))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b (^z.b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.b))) 5. ==[ beta ]==> (((a a) a)(b (^y.b))) 6. ==[ alpha ]==> (((a a) a)(b (^x.b))) REDUCED to normal form. ------ 91165/8144562. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 91166/8144607. ------ 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))(((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. ------ 91167/8144922. ------ 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. ------ 91168/8144949. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 91169/8145003. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a (^z.z)))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)(a (^z.z)))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)(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. ------ 91170/8145012. ------ 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. ------ 91171/8145084. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))((^y1.y1)(^z1.z1)))) 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. ------ 91172/8145147. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a) a)(^z.z))) REDUCED to normal form. ------ 91173/8145201. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (a a))(^x1.a))) REDUCED to normal form. ------ 91174/8145237. ------ 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)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 91175/8145264. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 91176/8145291. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 91177/8145345. ------ 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))(^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. ------ 91178/8145372. ------ 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. ------ 91179/8145399. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.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. ------ 91180/8145426. ------ 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. ------ 91181/8145498. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^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. ------ 91182/8145543. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 91183/8145570. ------ 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 (^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))(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. ------ 91184/8145705. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 91185/8145822. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a c)) REDUCED to normal form. ------ 91186/8145867. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y) b)(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)(b (a (a a)))) 5. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 91187/8145894. ------ 1. ==[ start ]==> (((^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)))) 3. ==[ beta ]==> ((^y.y)(a ((^y1.y1)(^z1.z1)))) 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. ------ 91188/8145903. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) 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. ------ 91189/8145948. ------ 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. ------ 91190/8146038. ------ 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. ------ 91191/8146065. ------ 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)(^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. ------ 91192/8146092. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 91193/8146146. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (a a)) a)) REDUCED to normal form. ------ 91194/8146173. ------ 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. ------ 91195/8146209. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 91196/8146236. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.(y1 y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 91197/8146317. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(b (^z.a))) 6. ==[ alpha ]==> (((^x.x)(a a))(b (^y.a))) 7. ==[ beta ]==> ((a a)(b (^y.a))) 8. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 91198/8146344. ------ 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. ------ 91199/8146371. ------ 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) REDUCED to normal form. ------ 91200/8146398. ------ 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.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^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)(^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. ------ 91201/8146425. ------ 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. ------ 91202/8146479. ------ 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))(^z1.(^x2.x2)))) 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. ------ 91203/8146506. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((b (a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((b (a a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((b (a a))(^y.a)) 6. ==[ alpha ]==> ((b (a a))(^x.a)) REDUCED to normal form. ------ 91204/8146569. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)(a (^a.a)))) 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. ------ 91205/8146704. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a (a (^z.z)))) 3. ==[ beta ]==> (b (a (a (^z.z)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 91206/8146812. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(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. ------ 91207/8146847. ------ 1. ==[ start ]==> (^a.(((^a.a) b) b)) 2. ==[ alpha ]==> (^x.(((^y.y) b) b)) 3. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 91208/8146848. ------ 1. ==[ start ]==> (a (((^a.a) b) b)) 2. ==[ alpha ]==> (a (((^x.x) b) b)) 3. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 91209/8153838. ------ 1. ==[ start ]==> ((((^a.a) b) b) a) 2. ==[ alpha ]==> ((((^x.x) b) b) a) 3. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 91210/8153844. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 3. ==[ beta ]==> (((^y.y) b) b) 4. ==[ alpha ]==> (((^x.x) b) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 91211/8153853. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91212/8154096. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 91213/8154663. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 91214/8154789. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^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. ------ 91215/8154828. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 91216/8155476. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.x1))) 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))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 91217/8155554. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 91218/8156079. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 91219/8156367. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^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. ------ 91220/8156637. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(x1 a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(y1 a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(y1 a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z a))) 9. ==[ beta ]==> ((^y.y)(^z.(z a))) 10. ==[ alpha ]==> ((^x.x)(^y.(y a))) 11. ==[ beta ]==> (^y.(y a)) 12. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 91221/8157420. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 91222/8157759. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a) d)) 2. ==[ alpha ]==> ((^x.(b x))((^y.a) d)) 3. ==[ eta ]==> (b ((^y.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 91223/8158122. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a b))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(a b))(^x.(a a))) REDUCED to normal form. ------ 91224/8158308. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^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. ------ 91225/8158596. ------ 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 ]==> ((((a a) a)(^x1.(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 91226/8158932. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 91227/8159199. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91228/8159514. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z)) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 91229/8159877. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(^b.(^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. ------ 91230/8159886. ------ 1. ==[ start ]==> (((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)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 91231/8159994. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 91232/8160012. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(^b.(^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. ------ 91233/8160120. ------ 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. ------ 91234/8160489. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.c)) 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. ------ 91235/8160513. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a) a)) 3. ==[ beta ]==> ((((^y.a) a)((^y.a) a))(((^y.a) a)((^y.a) a))) 4. ==[ alpha ]==> ((((^x.a) a)((^y.a) a))(((^z.a) a)((^x1.a) a))) 5. ==[ beta ]==> ((a ((^y.a) a))(((^z.a) a)((^x1.a) a))) 6. ==[ alpha ]==> ((a ((^x.a) a))(((^y.a) a)((^z.a) a))) 7. ==[ beta ]==> ((a a)(((^y.a) a)((^z.a) a))) 8. ==[ alpha ]==> ((a a)(((^x.a) a)((^y.a) a))) 9. ==[ beta ]==> ((a a)(a ((^y.a) a))) 10. ==[ alpha ]==> ((a a)(a ((^x.a) a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 91236/8160687. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.(^a.(^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. ------ 91237/8160795. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91238/8160831. ------ 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. ------ 91239/8160843. ------ 1. ==[ start ]==> ((a a)(((^a.a) b) b)) 2. ==[ alpha ]==> ((a a)(((^x.x) b) b)) 3. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 91240/8160852. ------ 1. ==[ start ]==> ((a (^a.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 91241/8160879. ------ 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. ------ 91242/8160987. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91243/8161041. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))(^c.(^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. ------ 91244/8161095. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 91245/8161131. ------ 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)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 91246/8161212. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 91247/8161239. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((b a)((^y.y) a))) 3. ==[ beta ]==> ((a a)((b a)((^y.y) a))) 4. ==[ alpha ]==> ((a a)((b a)((^x.x) a))) 5. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 91248/8161266. ------ 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. ------ 91249/8161293. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^x1.x1)(^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. ------ 91250/8161320. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((a b)((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((a b)((a a) a))) REDUCED to normal form. ------ 91251/8161428. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(b a))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(b a))) 5. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 91252/8161473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 91253/8161527. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.b)(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. ------ 91254/8161554. ------ 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. ------ 91255/8161635. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 91256/8161662. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 91257/8161680. ------ 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. ------ 91258/8161707. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(a a)))) 7. ==[ beta ]==> (((a (^x.x)) a)(^z.(a a))) 8. ==[ alpha ]==> (((a (^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 91259/8161788. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 91260/8161797. ------ 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 (^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. ------ 91261/8161824. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^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. ------ 91262/8161878. ------ 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.(^y2.y2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 91263/8161959. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a))(^b.(^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 a) REDUCED to normal form. ------ 91264/8162166. ------ 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. ------ 91265/8162193. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) b)) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) b)) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 91266/8162346. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(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. ------ 91267/8162373. ------ 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. ------ 91268/8162427. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(b a))) REDUCED to normal form. ------ 91269/8162454. ------ 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 (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 91270/8162472. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (^z.z))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a (^z.z))) 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))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 91271/8162553. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 91272/8162571. ------ 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)))) 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. ------ 91273/8162598. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 91274/8162652. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y)(^z.b))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.b))) 7. ==[ beta ]==> (((a (a a)) a)(^y.b)) 8. ==[ alpha ]==> (((a (a a)) a)(^x.b)) REDUCED to normal form. ------ 91275/8162679. ------ 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. ------ 91276/8162742. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(b a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 91277/8162904. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 91278/8162931. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a)(^c.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. ------ 91279/8162958. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^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. ------ 91280/8163012. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 91281/8163048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (b a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (b a))) 5. ==[ beta ]==> ((^y.a)(b (b a))) 6. ==[ alpha ]==> ((^x.a)(b (b a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 91282/8163075. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 91283/8163102. ------ 1. ==[ start ]==> (((a b)(^a.a))((b a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((b a)(a a))) REDUCED to normal form. ------ 91284/8163138. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 91285/8163291. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 91286/8163363. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 91287/8163417. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.x2)))) 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. ------ 91288/8163498. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 91289/8163552. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a a)((^y.(y y))(a b))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a b))) 7. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 91290/8163579. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 91291/8163633. ------ 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. ------ 91292/8163714. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a))(^b.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. ------ 91293/8163939. ------ 1. ==[ start ]==> (((^a.b) c)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) c)(((a a)(^y.y))(a a))) 3. ==[ beta ]==> (b (((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 91294/8163948. ------ 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)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 91295/8163975. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(a a)) c)) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a)) c)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) c)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 91296/8164254. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 91297/8164335. ------ 1. ==[ start ]==> (((^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) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 91298/8164416. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 91299/8164677. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 91300/8164704. ------ 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 a)) REDUCED to normal form. ------ 91301/8164731. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.b) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 91302/8164758. ------ 1. ==[ start ]==> ((a (b a))((^c.a) d)) 2. ==[ alpha ]==> ((a (b a))((^x.a) d)) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 91303/8164848. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (^z.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (^z.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.b))) 5. ==[ beta ]==> (b (c (^z.b))) 6. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 91304/8164929. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(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 a)) REDUCED to normal form. ------ 91305/8165037. ------ 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. ------ 91306/8165064. ------ 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)((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. ------ 91307/8165118. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)(a a))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)(a a))) 7. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 91308/8165199. ------ 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. ------ 91309/8165307. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^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. ------ 91310/8165352. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 91311/8165379. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.b) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.b) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b) b)) 5. ==[ beta ]==> ((a (a a))((^y.b) b)) 6. ==[ alpha ]==> ((a (a a))((^x.b) b)) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 91312/8165406. ------ 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. ------ 91313/8165595. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 91314/8165685. ------ 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)(^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. ------ 91315/8165766. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 91316/8165874. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 91317/8165910. ------ 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. ------ 91318/8165928. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 91319/8165991. ------ 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. ------ 91320/8166018. ------ 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) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((a (a a))((^z.z) a))) 6. ==[ alpha ]==> ((^x.b)((a (a a))((^y.y) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 91321/8166063. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c (^b.(^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. ------ 91322/8166072. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 91323/8166099. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((a a) a))) REDUCED to normal form. ------ 91324/8166171. ------ 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 (^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. ------ 91325/8166198. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))(((^z.z) a)((^z.z) 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. ------ 91326/8166216. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.(z z)))) REDUCED to normal form. ------ 91327/8166243. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 91328/8166297. ------ 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. ------ 91329/8166324. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z)) b)) 6. ==[ alpha ]==> ((a b)(((^x.x)(^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. ------ 91330/8166477. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^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. ------ 91331/8166486. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 91332/8166513. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y)) c)) 3. ==[ beta ]==> ((a b)((^y.(y y)) c)) 4. ==[ alpha ]==> ((a b)((^x.(x x)) c)) 5. ==[ beta ]==> ((a b)(c c)) REDUCED to normal form. ------ 91333/8166684. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.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. ------ 91334/8166792. ------ 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))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91335/8166828. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c ((^y.y) a))) 3. ==[ beta ]==> ((b a)(c ((^y.y) a))) 4. ==[ alpha ]==> ((b a)(c ((^x.x) a))) 5. ==[ beta ]==> ((b a)(c a)) REDUCED to normal form. ------ 91336/8166846. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 91337/8166855. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (a (a a)))) REDUCED to normal form. ------ 91338/8166873. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.x2)))) 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. ------ 91339/8166882. ------ 1. ==[ start ]==> (((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)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.y1))) REDUCED to normal form. ------ 91340/8166963. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y))((^z.z) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 91341/8166990. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(a (a a)))) REDUCED to normal form. ------ 91342/8167008. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a (^b.(^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. ------ 91343/8167116. ------ 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. ------ 91344/8167188. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y)) c)) 3. ==[ beta ]==> (((a a) b)((a (^y.y)) c)) 4. ==[ alpha ]==> (((a a) b)((a (^x.x)) c)) REDUCED to normal form. ------ 91345/8167242. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y)) a)) 3. ==[ beta ]==> ((a (b a))((^y.(y y)) a)) 4. ==[ alpha ]==> ((a (b a))((^x.(x x)) a)) 5. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 91346/8167269. ------ 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. ------ 91347/8167350. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x) 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. ------ 91348/8167377. ------ 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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 91349/8167404. ------ 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. ------ 91350/8167458. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.x1)) b)) REDUCED to normal form. ------ 91351/8167485. ------ 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. ------ 91352/8167512. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a) a)) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 91353/8167548. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 91354/8167683. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 91355/8167791. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91356/8167827. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a a)) 2. ==[ alpha ]==> ((((^x.x) b) b)(a a)) 3. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 91357/8168163. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((z z)(z z)))) 3. ==[ eta ]==> ((^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. ------ 91358/8174508. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((^x.((x x)(x x)))(^z.z)) 4. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.y)) 5. ==[ beta ]==> (((^y.y)(^y.y))((^y.y)(^y.y))) 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. ------ 91359/8174826. ------ 1. ==[ start ]==> ((((^a.a) b) b) b) 2. ==[ alpha ]==> ((((^x.x) b) b) b) 3. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 91360/8174850. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91361/8175165. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a ((a a)(a a)))) 3. ==[ eta ]==> ((^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. ------ 91362/8175168. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((y y)(y y)))) 3. ==[ beta ]==> ((a a)(^y.((y y)(y y)))) 4. ==[ alpha ]==> ((a a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 91363/8175435. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((((^y.y) a)(b a))((((^y.y) a)(b a))(((^y.y) a)(b a)))) 4. ==[ alpha ]==> ((((^x.x) a)(b a))((((^y.y) a)(b a))(((^z.z) a)(b a)))) 5. ==[ beta ]==> ((a (b a))((((^y.y) a)(b a))(((^z.z) a)(b a)))) 6. ==[ alpha ]==> ((a (b a))((((^x.x) a)(b a))(((^y.y) a)(b a)))) 7. ==[ beta ]==> ((a (b a))((a (b a))(((^y.y) a)(b a)))) 8. ==[ alpha ]==> ((a (b a))((a (b a))(((^x.x) a)(b a)))) 9. ==[ beta ]==> ((a (b a))((a (b a))(a (b a)))) REDUCED to normal form. ------ 91364/8175510. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 91365/8175660. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 91366/8176167. ------ 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. ------ 91367/8176218. ------ 1. ==[ start ]==> ((^a.((a a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((b a)(a (^y.y)))) 3. ==[ beta ]==> ((((b a)(a (^y.y)))((b a)(a (^y.y))))((b a)(a (^y.y)))) 4. ==[ alpha ]==> ((((b a)(a (^x.x)))((b a)(a (^y.y))))((b a)(a (^z.z)))) REDUCED to normal form. ------ 91368/8176482. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 91369/8176551. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 91370/8177076. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 91371/8177325. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))((a a)(^x1.x1)))((a (^z.z))((a a)(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))((a a)(^z.z)))((a (^x1.x1))((a a)(^y1.y1))))) 5. ==[ beta ]==> (((a (^y.y))((a a)(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 91372/8177643. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z a))) REDUCED to normal form. ------ 91373/8177922. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(b y))) 3. ==[ eta ]==> ((((a a) a)((^x.x) a)) b) 4. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 91374/8178000. ------ 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 ]==> ((((a b)((^z.z) a))((a b)((^z.z) a)))(^y.y)) 4. ==[ alpha ]==> ((((a b)((^x.x) a))((a b)((^y.y) a)))(^z.z)) 5. ==[ beta ]==> ((((a b) a)((a b)((^y.y) a)))(^z.z)) 6. ==[ alpha ]==> ((((a b) a)((a b)((^x.x) 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. ------ 91375/8178183. ------ 1. ==[ start ]==> (((a b) c)(^a.(^d.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.x))) REDUCED to normal form. ------ 91376/8178417. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 91377/8178426. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 91378/8178678. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 91379/8178756. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))(((a a) a)((^y.y) a))) 3. ==[ eta ]==> (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. ------ 91380/8179119. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(a a)))) REDUCED to normal form. ------ 91381/8179128. ------ 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. ------ 91382/8179353. ------ 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.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 91383/8180127. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.b))) REDUCED to normal form. ------ 91384/8180196. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91385/8180511. ------ 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. ------ 91386/8180883. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 91387/8181018. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 91388/8181126. ------ 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)))) REDUCED to normal form. ------ 91389/8181243. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(y (y y)))) 3. ==[ beta ]==> ((a (b a))(^y.(y (y y)))) 4. ==[ alpha ]==> ((a (b a))(^x.(x (x x)))) REDUCED to normal form. ------ 91390/8181324. ------ 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))(^x.a)) REDUCED to normal form. ------ 91391/8181510. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a ((^y.y) a))(a ((^y.y) a)))((a ((^y.y) a))(a ((^y.y) a)))) 4. ==[ alpha ]==> (((a ((^x.x) a))(a ((^y.y) a)))((a ((^z.z) a))(a ((^x1.x1) a)))) 5. ==[ beta ]==> (((a a)(a ((^y.y) a)))((a ((^z.z) a))(a ((^x1.x1) a)))) 6. ==[ alpha ]==> (((a a)(a ((^x.x) a)))((a ((^y.y) a))(a ((^z.z) a)))) 7. ==[ beta ]==> (((a a)(a a))((a ((^y.y) a))(a ((^z.z) a)))) 8. ==[ alpha ]==> (((a a)(a a))((a ((^x.x) a))(a ((^y.y) a)))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a ((^y.y) a)))) 10. ==[ alpha ]==> (((a a)(a a))((a a)(a ((^x.x) a)))) 11. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 91392/8181513. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.((^y.y) x))) 3. ==[ eta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 91393/8181684. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 91394/8181792. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91395/8181828. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.z))) 3. ==[ beta ]==> ((b b)(^y.(^z.z))) 4. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 91396/8181858. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) b)) 3. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 91397/8181867. ------ 1. ==[ start ]==> (((^a.a) a)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 91398/8181894. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 91399/8181948. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 91400/8181975. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 91401/8182002. ------ 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. ------ 91402/8182056. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^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. ------ 91403/8182137. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 91404/8182146. ------ 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 (^x.x))(a a))(b b)) REDUCED to normal form. ------ 91405/8182173. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a a)(a ((a a)(a a)))) REDUCED to normal form. ------ 91406/8182182. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.a)((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.a)((^y.(a a)) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 91407/8182209. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) b)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) 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. ------ 91408/8182362. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)(a b))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(a b))) REDUCED to normal form. ------ 91409/8182389. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 91410/8182416. ------ 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. ------ 91411/8182443. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(b a))) 3. ==[ beta ]==> ((a (a (a a)))(a (b a))) REDUCED to normal form. ------ 91412/8182515. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a (^y.(a a)))) 3. ==[ beta ]==> ((a b)(a (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(a (^x.(a a)))) REDUCED to normal form. ------ 91413/8182533. ------ 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. ------ 91414/8182542. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.b)(a a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(a a))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 91415/8182560. ------ 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. ------ 91416/8182569. ------ 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 (^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. ------ 91417/8182587. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 91418/8182641. ------ 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.(^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. ------ 91419/8182650. ------ 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. ------ 91420/8182668. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 91421/8182758. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((b b)((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((b b)((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> ((b b)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((b b)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 91422/8182803. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91423/8182830. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 91424/8182884. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1))) b)) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1))) b)) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 7. ==[ beta ]==> ((a (^y.(^z.z))) b) 8. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 91425/8182893. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 91426/8182947. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 91427/8182974. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 91428/8183001. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 91429/8183055. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91430/8183145. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (a (^a.(^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. ------ 91431/8183172. ------ 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. ------ 91432/8183199. ------ 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.x1)))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a a))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 91433/8183226. ------ 1. ==[ start ]==> ((a ((a a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 91434/8183262. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) d)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) 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. ------ 91435/8183433. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (^x1.a))) REDUCED to normal form. ------ 91436/8183460. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 91437/8183487. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.y))) REDUCED to normal form. ------ 91438/8183514. ------ 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.(^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. ------ 91439/8183559. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 91440/8183730. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 91441/8183829. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((b a) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a) b)) IRREDUCIBLE: cycle. ------ 91442/8183892. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 91443/8183919. ------ 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. ------ 91444/8183946. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 91445/8184000. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(a a))(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 91446/8184027. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 91447/8184081. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 91448/8184099. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 91449/8184144. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 91450/8184171. ------ 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.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))((a a) a)) REDUCED to normal form. ------ 91451/8184198. ------ 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. ------ 91452/8184225. ------ 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)(^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. ------ 91453/8184252. ------ 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)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((a a) a))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))((a a) a))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))((a a) a))) 9. ==[ beta ]==> (a ((^y.y)((a a) a))) 10. ==[ alpha ]==> (a ((^x.x)((a a) a))) 11. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 91454/8184279. ------ 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. ------ 91455/8184306. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) 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. ------ 91456/8184333. ------ 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)(^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)))) REDUCED to normal form. ------ 91457/8184423. ------ 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.(^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. ------ 91458/8184504. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 91459/8184513. ------ 1. ==[ start ]==> (((a b) b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 91460/8184540. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^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))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 91461/8184558. ------ 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. ------ 91462/8184567. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a b)(a b))) REDUCED to normal form. ------ 91463/8184585. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 91464/8184594. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 91465/8184648. ------ 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. ------ 91466/8184702. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.(^a.a))(^a.(^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. ------ 91467/8184720. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (b (((^z.z)(a a)) c)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) c)) 5. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 91468/8184729. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 91469/8184756. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 91470/8184900. ------ 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. ------ 91471/8184927. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a (b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a (b a))) 3. ==[ beta ]==> ((((a a) a) a)(a (b a))) REDUCED to normal form. ------ 91472/8184954. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 91473/8184981. ------ 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 (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(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. ------ 91474/8185008. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a b) a)) REDUCED to normal form. ------ 91475/8185188. ------ 1. ==[ start ]==> (((a b) c)(a (^d.a))) 2. ==[ alpha ]==> (((a b) c)(a (^x.a))) REDUCED to normal form. ------ 91476/8185215. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 91477/8185242. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 91478/8185260. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a b)(^b.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. ------ 91479/8185287. ------ 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.(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. ------ 91480/8185296. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 91481/8185323. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 91482/8185377. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.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. ------ 91483/8185404. ------ 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.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. ------ 91484/8185422. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 91485/8185431. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 91486/8185485. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 91487/8185656. ------ 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. ------ 91488/8185683. ------ 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. ------ 91489/8185710. ------ 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))(a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 91490/8185737. ------ 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. ------ 91491/8185764. ------ 1. ==[ start ]==> ((a (b a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> ((a (b a))(((a a) a) a)) REDUCED to normal form. ------ 91492/8185935. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^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. ------ 91493/8185998. ------ 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)(^x.x)) b) a) REDUCED to normal form. ------ 91494/8186043. ------ 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. ------ 91495/8186106. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^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. ------ 91496/8186124. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a b)(a b))((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((a a)(^x.(a a)))) REDUCED to normal form. ------ 91497/8186133. ------ 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. ------ 91498/8186187. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.b)(^a.(^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. ------ 91499/8186205. ------ 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. ------ 91500/8186214. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 91501/8186241. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 91502/8186268. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 91503/8186331. ------ 1. ==[ start ]==> (((a a)(b a))(b (a b))) REDUCED to normal form. ------ 91504/8186358. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (a a))) REDUCED to normal form. ------ 91505/8186385. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a b)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a b)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(a a))) 5. ==[ beta ]==> ((a (a a))((a b)(a a))) REDUCED to normal form. ------ 91506/8186412. ------ 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. ------ 91507/8186439. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a a) a)((^y.y)((^z.z) a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) a))) 9. ==[ beta ]==> (((a a) a)((^y.y) a)) 10. ==[ alpha ]==> (((a a) a)((^x.x) a)) 11. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 91508/8186466. ------ 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 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. ------ 91509/8186493. ------ 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. ------ 91510/8186520. ------ 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))) 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. ------ 91511/8186547. ------ 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))) REDUCED to normal form. ------ 91512/8186592. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.b)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91513/8186610. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a) a)(^a.(^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. ------ 91514/8186691. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(((^z.z) a)(^x1.(^y1.y1)))) 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. ------ 91515/8186772. ------ 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. ------ 91516/8186889. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 91517/8187078. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 91518/8187105. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b (^z.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 91519/8187132. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.b))) REDUCED to normal form. ------ 91520/8187177. ------ 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)(^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. ------ 91521/8187186. ------ 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 (^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. ------ 91522/8187204. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 91523/8187438. ------ 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)) 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. ------ 91524/8187492. ------ 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))((^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. ------ 91525/8187519. ------ 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. ------ 91526/8187528. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) c)) 5. ==[ beta ]==> ((^y.(y y)) c) 6. ==[ alpha ]==> ((^x.(x x)) c) 7. ==[ beta ]==> (c c) REDUCED to normal form. ------ 91527/8187690. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 91528/8187798. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((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. ------ 91529/8187807. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 91530/8187834. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a)(^b.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. ------ 91531/8187861. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 91532/8187888. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 91533/8187933. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z)) b)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(b b)) REDUCED to normal form. ------ 91534/8187969. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.a))) 5. ==[ beta ]==> ((^y.(a a))(c (^z.a))) 6. ==[ alpha ]==> ((^x.(a a))(c (^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 91535/8187996. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b (^y.(y y)))) REDUCED to normal form. ------ 91536/8188023. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 91537/8188050. ------ 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))(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 91538/8188077. ------ 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) REDUCED to normal form. ------ 91539/8188122. ------ 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 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. ------ 91540/8188131. ------ 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. ------ 91541/8188158. ------ 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. ------ 91542/8188194. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c (a (^y.y)))) 3. ==[ beta ]==> (((a a) b)(c (a (^y.y)))) 4. ==[ alpha ]==> (((a a) b)(c (a (^x.x)))) REDUCED to normal form. ------ 91543/8188221. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(b a)) REDUCED to normal form. ------ 91544/8188248. ------ 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. ------ 91545/8188275. ------ 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. ------ 91546/8188302. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.z)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 91547/8188329. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a a)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)(a b))((a a) a)) REDUCED to normal form. ------ 91548/8188410. ------ 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. ------ 91549/8188491. ------ 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. ------ 91550/8188518. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a ((^a.a) 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. ------ 91551/8188554. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 91552/8188689. ------ 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. ------ 91553/8188797. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((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. ------ 91554/8188833. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(a (^y.y))) 3. ==[ beta ]==> ((b b)(a (^y.y))) 4. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 91555/8189178. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.(a a)))) 3. ==[ eta ]==> ((^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. ------ 91556/8195523. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.a))) 3. ==[ beta ]==> (((^y.(^z.a))(^y.(^z.a)))((^y.(^z.a))(^y.(^z.a)))) 4. ==[ alpha ]==> (((^x.(^y.a))(^z.(^x1.a)))((^y1.(^z1.a))(^x2.(^y2.a)))) 5. ==[ beta ]==> ((^y.a)((^y1.(^z1.a))(^x2.(^y2.a)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.a))(^x1.(^y1.a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 91557/8195841. ------ 1. ==[ start ]==> ((((^a.a) b) b) c) 2. ==[ alpha ]==> ((((^x.x) b) b) c) 3. ==[ beta ]==> ((b b) c) REDUCED to normal form. ------ 91558/8195892. ------ 1. ==[ start ]==> ((^a.(a a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91559/8195919. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 91560/8196000. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^z.(a a))(^x1.a))(^y.y)) 4. ==[ alpha ]==> (((^x.(a a))(^y.a))(^z.z)) 5. ==[ beta ]==> ((a a)(^z.z)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 91561/8196192. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 91562/8196201. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((^y.a)(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((^x.a)(^y.((y y)(y y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 91563/8196360. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 91564/8196810. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)(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. ------ 91565/8197191. ------ 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. ------ 91566/8197755. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.a)((a a)(^z.z))) b) 4. ==[ alpha ]==> (((^x.a)((a a)(^y.y))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 91567/8198118. ------ 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 (^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 91568/8198142. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((b a)(a a))) 3. ==[ beta ]==> (^y.(((b a)(a a))((b a)(a a)))) 4. ==[ alpha ]==> (^x.(((b a)(a a))((b a)(a a)))) REDUCED to normal form. ------ 91569/8198388. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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)) REDUCED to normal form. ------ 91570/8198667. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 91571/8199198. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 91572/8199450. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 91573/8199702. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 91574/8200152. ------ 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. ------ 91575/8200377. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 91576/8200617. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.b)(a a))) 3. ==[ beta ]==> (((^x1.b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 91577/8201322. ------ 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. ------ 91578/8202033. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(a (a a)))) 3. ==[ beta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 91579/8202267. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 91580/8202375. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 91581/8202534. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((^y.y)(^z.a))((^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))((^x2.x2)(^y2.a)))) 5. ==[ beta ]==> (((^y.a)((^z.z)(^x1.a)))(((^y1.y1)(^z1.a))((^x2.x2)(^y2.a)))) 6. ==[ alpha ]==> (((^x.a)((^y.y)(^z.a)))(((^x1.x1)(^y1.a))((^z1.z1)(^x2.a)))) 7. ==[ beta ]==> (a (((^x1.x1)(^y1.a))((^z1.z1)(^x2.a)))) 8. ==[ alpha ]==> (a (((^x.x)(^y.a))((^z.z)(^x1.a)))) 9. ==[ beta ]==> (a ((^y.a)((^z.z)(^x1.a)))) 10. ==[ alpha ]==> (a ((^x.a)((^y.y)(^z.a)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 91582/8202537. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.a))) REDUCED to normal form. ------ 91583/8202816. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91584/8202852. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.a)) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.a)) 3. ==[ beta ]==> ((b b)(^y.a)) 4. ==[ alpha ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 91585/8202900. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) b) b)) 3. ==[ beta ]==> (a (((^y.y) b) b)) 4. ==[ alpha ]==> (a (((^x.x) b) b)) 5. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 91586/8202909. ------ 1. ==[ start ]==> ((a (a a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 91587/8202936. ------ 1. ==[ start ]==> ((a b)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 91588/8203017. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 91589/8203152. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 91590/8203179. ------ 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 (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 91591/8203215. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a ((a a)(a a)))) 3. ==[ beta ]==> ((^y.a)(a ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.a)(a ((a a)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 91592/8203242. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(a a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 91593/8203251. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) b)) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 91594/8203296. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)((b a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)((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. ------ 91595/8203323. ------ 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. ------ 91596/8203377. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)((a a) a))) REDUCED to normal form. ------ 91597/8203485. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(b a))) 5. ==[ beta ]==> ((((^y.y) a)(b a))(((^y.y) 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. ------ 91598/8203512. ------ 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 (^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. ------ 91599/8203575. ------ 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. ------ 91600/8203602. ------ 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.(^y1.y1)))) REDUCED to normal form. ------ 91601/8203629. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a)(^z.a))) REDUCED to normal form. ------ 91602/8203656. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 91603/8203683. ------ 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. ------ 91604/8203719. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 91605/8203773. ------ 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. ------ 91606/8203791. ------ 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. ------ 91607/8203800. ------ 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 a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 91608/8203827. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(b a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 91609/8203926. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 91610/8203953. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b a) c)) 3. ==[ beta ]==> (((^y.y) a)((b a) c)) 4. ==[ alpha ]==> (((^x.x) a)((b a) c)) 5. ==[ beta ]==> (a ((b a) c)) REDUCED to normal form. ------ 91611/8204178. ------ 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))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 91612/8204205. ------ 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. ------ 91613/8204295. ------ 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)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))((^z1.z1) 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. ------ 91614/8204349. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a ((a b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a ((a b)((^x.x)(^y.y)))) 7. ==[ beta ]==> (a ((a b)(^y.y))) 8. ==[ alpha ]==> (a ((a b)(^x.x))) REDUCED to normal form. ------ 91615/8204430. ------ 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. ------ 91616/8204457. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((a a)(^z1.z1)))) 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. ------ 91617/8204511. ------ 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) a)((^y.y) a))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a ((^y.y) a))((a a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 91618/8204547. ------ 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 (^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. ------ 91619/8204574. ------ 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. ------ 91620/8204637. ------ 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. ------ 91621/8204664. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 91622/8204718. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a b))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 91623/8204745. ------ 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)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)(a a))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((((a a) a)(a a))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((((a a) a)(a a))((a a)(a a))) REDUCED to normal form. ------ 91624/8204763. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 91625/8204772. ------ 1. ==[ start ]==> ((a (a b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 91626/8205132. ------ 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 (a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 91627/8205141. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 91628/8205159. ------ 1. ==[ start ]==> ((a (^b.(a a)))((b a)(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((b a)(a a))) REDUCED to normal form. ------ 91629/8205375. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 91630/8205402. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((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. ------ 91631/8205546. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 91632/8205600. ------ 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. ------ 91633/8205627. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(a a)))) REDUCED to normal form. ------ 91634/8205708. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((b a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((b a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a) a)) 5. ==[ beta ]==> ((^y.(y y))((b a) a)) 6. ==[ alpha ]==> ((^x.(x x))((b a) a)) 7. ==[ beta ]==> (((b a) a)((b a) a)) REDUCED to normal form. ------ 91635/8205735. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 91636/8205762. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 91637/8205852. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 91638/8205879. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((a ((a a) a))((^y.b)(^y.b))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.b))) 7. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 91639/8205906. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 91640/8205978. ------ 1. ==[ start ]==> (((^a.b) c)((^d.a) a)) 2. ==[ alpha ]==> (((^x.b) c)((^y.a) a)) 3. ==[ beta ]==> (b ((^y.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 91641/8206077. ------ 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. ------ 91642/8206212. ------ 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 a)(^z.z)))) 4. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 91643/8206248. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a) b)(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 91644/8206275. ------ 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)))) 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. ------ 91645/8206329. ------ 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.(z z)))) REDUCED to normal form. ------ 91646/8206356. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 91647/8206410. ------ 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) a)(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91648/8206437. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 91649/8206464. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 91650/8206491. ------ 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)(^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. ------ 91651/8206518. ------ 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))(^y.y))((a a) b)) REDUCED to normal form. ------ 91652/8206554. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.b)(^b.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. ------ 91653/8206608. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 91654/8206662. ------ 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.a)(^z1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.b))) 7. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 8. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 9. ==[ beta ]==> ((^y.a)(^z.b)) 10. ==[ alpha ]==> ((^x.a)(^y.b)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 91655/8206689. ------ 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. ------ 91656/8206716. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 91657/8206887. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (b (((^z.z) a)((a a) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 7. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 91658/8207031. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a) a)(^y.a))) REDUCED to normal form. ------ 91659/8207139. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 91660/8207166. ------ 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. ------ 91661/8207220. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 91662/8207247. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a) a) c)) REDUCED to normal form. ------ 91663/8207364. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^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. ------ 91664/8207391. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 91665/8207580. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (^z.b))) REDUCED to normal form. ------ 91666/8207625. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((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. ------ 91667/8207634. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b)(a a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 91668/8207967. ------ 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. ------ 91669/8208021. ------ 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 a))((^y.y)(a a)))(((a a) a)(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a) a)(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a) a)(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)(a a))) 7. ==[ beta ]==> (((a a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 91670/8208030. ------ 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. ------ 91671/8208057. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 91672/8208102. ------ 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 (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. ------ 91673/8208219. ------ 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)(^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. ------ 91674/8208255. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a ((^z.z) a))) 7. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 91675/8208282. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.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. ------ 91676/8208309. ------ 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)(^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. ------ 91677/8208336. ------ 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. ------ 91678/8208363. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 91679/8208390. ------ 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. ------ 91680/8208417. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a))(^b.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. ------ 91681/8208444. ------ 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. ------ 91682/8208471. ------ 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.(^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. ------ 91683/8208516. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 91684/8208561. ------ 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. ------ 91685/8208588. ------ 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)((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) a)((^x2.x2) 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. ------ 91686/8208723. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d c)) 3. ==[ beta ]==> (b (d c)) REDUCED to normal form. ------ 91687/8208840. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a)) b)) REDUCED to normal form. ------ 91688/8208867. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) a) c)) 3. ==[ beta ]==> ((b a)(((^y.y) a) c)) 4. ==[ alpha ]==> ((b a)(((^x.x) a) c)) 5. ==[ beta ]==> ((b a)(a c)) REDUCED to normal form. ------ 91689/8208885. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c ((^z.z) a))) 3. ==[ beta ]==> (((^y.y) b)(c ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) b)(c ((^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. ------ 91690/8208912. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(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. ------ 91691/8208966. ------ 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))(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (a a))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 91692/8209002. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a) c)) 5. ==[ beta ]==> ((^y.(a a))((^z.a) c)) 6. ==[ alpha ]==> ((^x.(a a))((^y.a) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 91693/8209047. ------ 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)))) REDUCED to normal form. ------ 91694/8209083. ------ 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. ------ 91695/8209110. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 91696/8209164. ------ 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 y1)))) REDUCED to normal form. ------ 91697/8209191. ------ 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. ------ 91698/8209227. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 91699/8209254. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.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. ------ 91700/8209281. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a (b a))(^y.(y y))) 6. ==[ alpha ]==> ((a (b a))(^x.(x x))) REDUCED to normal form. ------ 91701/8209362. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(b (^x.a))) REDUCED to normal form. ------ 91702/8209389. ------ 1. ==[ start ]==> (((a b)((a a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(a (^x.(x x)))) REDUCED to normal form. ------ 91703/8209416. ------ 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) REDUCED to normal form. ------ 91704/8209443. ------ 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. ------ 91705/8209497. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 91706/8209524. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 91707/8209551. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.a)(^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. ------ 91708/8209587. ------ 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)) REDUCED to normal form. ------ 91709/8209722. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 91710/8209830. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(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. ------ 91711/8209866. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.y) a)) 3. ==[ beta ]==> ((b b)((^y.y) a)) 4. ==[ alpha ]==> ((b b)((^x.x) a)) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 91712/8209892. ------ 1. ==[ start ]==> (^a.(((a a)(a a)) a)) 2. ==[ alpha ]==> (^x.(((x x)(x x)) x)) REDUCED to normal form. ------ 91713/8209893. ------ 1. ==[ start ]==> (a (((a a)(a a)) a)) REDUCED to normal form. ------ 91714/8216910. ------ 1. ==[ start ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 91715/8216916. ------ 1. ==[ start ]==> ((^a.a)(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 91716/8216943. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) b) b)) 3. ==[ beta ]==> ((((^y.y) b) b)(((^y.y) b) b)) 4. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) b) b)) 5. ==[ beta ]==> ((b b)(((^y.y) b) b)) 6. ==[ alpha ]==> ((b b)(((^x.x) b) b)) 7. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 91717/8216970. ------ 1. ==[ start ]==> ((^a.b)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z))) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 91718/8217252. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 91719/8217585. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) 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)(^x.b)) REDUCED to normal form. ------ 91720/8217735. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 91721/8218293. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((((^y.(^z.(^x1.x1))) b)((^y.(^z.(^x1.x1))) b))((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z))) b)((^x1.(^y1.(^z1.z1))) b))((^x2.(^y2.(^z2.z2))) b)) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.(^y1.(^z1.z1))) b))((^x2.(^y2.(^z2.z2))) b)) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1))) b))((^z1.(^x2.(^y2.y2))) b)) 7. ==[ beta ]==> ((^y.y)((^z1.(^x2.(^y2.y2))) 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. ------ 91722/8218557. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 91723/8218806. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(^z.(^x1.x1)))) 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. ------ 91724/8219169. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 91725/8219178. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 91726/8220015. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(b a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(b y))) 3. ==[ eta ]==> (((^x.b) c) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 91727/8220075. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((((^z.(a a)) c)((^z.(a a)) c))(^y.y)) 4. ==[ alpha ]==> ((((^x.(a a)) c)((^y.(a a)) c))(^z.z)) 5. ==[ beta ]==> (((a a)((^y.(a a)) c))(^z.z)) 6. ==[ alpha ]==> (((a a)((^x.(a a)) c))(^y.y)) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 91728/8220258. ------ 1. ==[ start ]==> (((a b) c)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 91729/8220831. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(b x))((^y.b) c)) 3. ==[ eta ]==> (b ((^y.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 91730/8221005. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 91731/8221380. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)(^z1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 91732/8221668. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a b)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x1.x1))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 91733/8221842. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.b)(^y.(^z.z))) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 91734/8222202. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.((a a) a))) REDUCED to normal form. ------ 91735/8222271. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^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. ------ 91736/8222553. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 91737/8222586. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^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. ------ 91738/8223093. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 91739/8223318. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.d)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.d)) 3. ==[ beta ]==> ((a (b a))(^y.d)) 4. ==[ alpha ]==> ((a (b a))(^x.d)) REDUCED to normal form. ------ 91740/8223867. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91741/8223903. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(y y))) 3. ==[ beta ]==> ((b b)(^y.(y y))) 4. ==[ alpha ]==> ((b b)(^x.(x x))) REDUCED to normal form. ------ 91742/8223930. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.a)) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 91743/8223942. ------ 1. ==[ start ]==> ((a a)(((a a)(a a)) a)) REDUCED to normal form. ------ 91744/8223969. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a (a a))(((^x.x) b) b)) 3. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 91745/8223978. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.b)(^a.(^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. ------ 91746/8223996. ------ 1. ==[ start ]==> ((a b)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((a b)((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 91747/8224005. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 91748/8224086. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 91749/8224113. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 91750/8224167. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 91751/8224230. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 91752/8224275. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 91753/8224311. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (a a))) REDUCED to normal form. ------ 91754/8224338. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 91755/8224365. ------ 1. ==[ start ]==> (((a a)(^b.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.a))((b a) a)) REDUCED to normal form. ------ 91756/8224392. ------ 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. ------ 91757/8224419. ------ 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))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 91758/8224527. ------ 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. ------ 91759/8224572. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 91760/8224608. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((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. ------ 91761/8224653. ------ 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. ------ 91762/8224680. ------ 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 (^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. ------ 91763/8224761. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 91764/8224779. ------ 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. ------ 91765/8224806. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a) a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(^y.b))) REDUCED to normal form. ------ 91766/8224833. ------ 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. ------ 91767/8224896. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91768/8224923. ------ 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 (^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. ------ 91769/8224977. ------ 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)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91770/8225112. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 91771/8225292. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.b) 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)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 91772/8225319. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 91773/8225445. ------ 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. ------ 91774/8225472. ------ 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)((^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. ------ 91775/8225526. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((a a)(^x1.x1)))) REDUCED to normal form. ------ 91776/8225553. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))(b a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(b a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 91777/8225571. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a ((^y.y) a))(b (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(b (^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 91778/8225580. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 91779/8225670. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 91780/8225697. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(z z)))) REDUCED to normal form. ------ 91781/8225724. ------ 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. ------ 91782/8225778. ------ 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.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.b))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.b))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.b))) 9. ==[ beta ]==> ((a (^x.x))(^z.b)) 10. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 91783/8225805. ------ 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. ------ 91784/8225832. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) 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. ------ 91785/8225841. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 91786/8225922. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) IRREDUCIBLE: cycle. ------ 91787/8226003. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 91788/8226030. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)(^b.(^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. ------ 91789/8226111. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 91790/8226147. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c ((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)(c ((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.a)(c ((a a)(^y.y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 91791/8226174. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (b a))) REDUCED to normal form. ------ 91792/8226192. ------ 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 ((^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. ------ 91793/8226201. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 91794/8226390. ------ 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. ------ 91795/8226435. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(c (^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 91796/8226597. ------ 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. ------ 91797/8226651. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 91798/8226678. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 91799/8226732. ------ 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 a)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91800/8226813. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(^a.a))(^a.(^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. ------ 91801/8227038. ------ 1. ==[ start ]==> (((^a.b) c)(a (b a))) 2. ==[ alpha ]==> (((^x.b) c)(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 91802/8227101. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a)) c)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 91803/8227272. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 91804/8227281. ------ 1. ==[ start ]==> (((a b) c)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 91805/8227353. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 91806/8227380. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1) 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. ------ 91807/8227434. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((^z.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. ------ 91808/8227515. ------ 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.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. ------ 91809/8227614. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a b) c)) REDUCED to normal form. ------ 91810/8227830. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 91811/8227857. ------ 1. ==[ start ]==> ((a (b a))((^a.b) c)) 2. ==[ alpha ]==> ((a (b a))((^x.b) c)) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 91812/8228028. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 91813/8228136. ------ 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. ------ 91814/8228163. ------ 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)(^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. ------ 91815/8228217. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^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. ------ 91816/8228298. ------ 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. ------ 91817/8228406. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 91818/8228478. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(a a)) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(a a)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a)) a)) 5. ==[ beta ]==> ((a (a a))((^y.(a a)) a)) 6. ==[ alpha ]==> ((a (a a))((^x.(a a)) a)) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 91819/8228505. ------ 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. ------ 91820/8228694. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b)(^z.z))) REDUCED to normal form. ------ 91821/8228703. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.b)(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 91822/8228784. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((a a)((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a (a a)))) 7. ==[ beta ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 91823/8228865. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 91824/8228973. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^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. ------ 91825/8229000. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 91826/8229027. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^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. ------ 91827/8229090. ------ 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. ------ 91828/8229117. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 91829/8229171. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 91830/8229198. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 91831/8229225. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)((a a) a))) REDUCED to normal form. ------ 91832/8229297. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^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. ------ 91833/8229315. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (a a))(^z.a))) REDUCED to normal form. ------ 91834/8229342. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.(y y)))) REDUCED to normal form. ------ 91835/8229369. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 91836/8229423. ------ 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. ------ 91837/8229450. ------ 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. ------ 91838/8229477. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (a a)) c)) 3. ==[ beta ]==> (((a b)(^y.y))((a (a a)) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((a (a a)) c)) REDUCED to normal form. ------ 91839/8229576. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 91840/8229612. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^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. ------ 91841/8229783. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 91842/8229891. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(^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. ------ 91843/8229945. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.a))) 5. ==[ beta ]==> (b ((^y.a)(^z.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 91844/8229954. ------ 1. ==[ start ]==> (((a a)(^b.b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(c ((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.x))(c a)) REDUCED to normal form. ------ 91845/8229972. ------ 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.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(x2 x2)))) 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. ------ 91846/8229981. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (a (a a)))) REDUCED to normal form. ------ 91847/8230062. ------ 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. ------ 91848/8230089. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a (^y.y)) a)) REDUCED to normal form. ------ 91849/8230107. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b (^y.(y y)))) 3. ==[ beta ]==> (b (b (^y.(y y)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 91850/8230116. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(a (a a)))) REDUCED to normal form. ------ 91851/8230215. ------ 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.(^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. ------ 91852/8230287. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a) b)(((^y.y) a) b)) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a) b)) 5. ==[ beta ]==> (((a a) b)(a b)) REDUCED to normal form. ------ 91853/8230368. ------ 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. ------ 91854/8230395. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.a) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a) b)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a) b)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.a) b)) 7. ==[ beta ]==> ((a a)((^y.a) b)) 8. ==[ alpha ]==> ((a a)((^x.a) b)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 91855/8230422. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^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. ------ 91856/8230476. ------ 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)(^y1.y1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 91857/8230503. ------ 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. ------ 91858/8230557. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a a)) REDUCED to normal form. ------ 91859/8230584. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (^y.y)) b)) 3. ==[ beta ]==> ((b (a a))((a (^y.y)) b)) 4. ==[ alpha ]==> ((b (a a))((a (^x.x)) b)) REDUCED to normal form. ------ 91860/8230647. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 91861/8230782. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 91862/8230890. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.y1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91863/8230926. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a (a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(a (a a))) 3. ==[ beta ]==> ((b b)(a (a a))) REDUCED to normal form. ------ 91864/8230953. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a a)) REDUCED to normal form. ------ 91865/8237979. ------ 1. ==[ start ]==> ((((a a)(a a)) a) b) REDUCED to normal form. ------ 91866/8238003. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91867/8238318. ------ 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)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 91868/8238588. ------ 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. ------ 91869/8238813. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 91870/8239347. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.((^x1.x1) b))) 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))) 7. ==[ beta ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 91871/8239371. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((((a (^y.(^z.z)))(a a))((a (^y.(^z.z)))(a a)))((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> ((((a (^x.(^y.y)))(a a))((a (^z.(^x1.x1)))(a a)))((a (^y1.(^z1.z1)))(a a))) REDUCED to normal form. ------ 91872/8239662. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 91873/8239704. ------ 1. ==[ start ]==> ((^a.(^a.b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 91874/8240256. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 91875/8240271. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (^y.(((^z.(^x1.(^y1.y1))) a)((^z.(^x1.(^y1.y1))) a))) 4. ==[ alpha ]==> (^x.(((^y.(^z.(^x1.x1))) a)((^y1.(^z1.(^x2.x2))) a))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.(^z1.(^x2.x2))) a))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.(^y1.(^z1.z1))) a))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 91876/8240478. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)((^x1.x1)(a a)))(((^z.z) a)((^x1.x1)(a a))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)((^z.z)(a a)))(((^x1.x1) a)((^y1.y1)(a a))))) 5. ==[ beta ]==> ((((^y.y) a)((^z.z)(a a)))(((^x1.x1) a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)((^z.z)(a a)))) 9. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z)(a a)))) 10. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y)(a a)))) 11. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 12. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 13. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 91877/8240823. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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 ]==> ((^y.(y a)) a) 10. ==[ alpha ]==> ((^x.(x a)) a) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 91878/8241093. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^d.a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 91879/8241102. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(b y))) 3. ==[ eta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 91880/8241153. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((((^z.z)(a a))(a (^x1.x1)))(((^z.z)(a a))(a (^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(a a))(a (^y.y)))(((^z.z)(a a))(a (^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((((a a)(a (^y.y)))(((^z.z)(a a))(a (^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(a (^x.x)))(((^y.y)(a a))(a (^z.z))))(^x1.x1)) 7. ==[ beta ]==> ((((a a)(a (^x.x)))((a a)(a (^z.z))))(^x1.x1)) 8. ==[ alpha ]==> ((((a a)(a (^x.x)))((a a)(a (^y.y))))(^z.z)) REDUCED to normal form. ------ 91881/8241336. ------ 1. ==[ start ]==> (((a b) c)(^d.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 91882/8241606. ------ 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)(^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. ------ 91883/8241858. ------ 1. ==[ start ]==> ((((^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)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 91884/8241909. ------ 1. ==[ start ]==> ((^a.(b a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a b)(a (^y.y)))) 3. ==[ eta ]==> (b ((a b)(a (^y.y)))) 4. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 91885/8242533. ------ 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.x1)(z z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.((^z.z)(y y)))) 6. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(x x)))) 7. ==[ beta ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 91886/8242740. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91887/8242920. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (b (^x1.(^y1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 91888/8243349. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a))(^a.(^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. ------ 91889/8243631. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 91890/8243640. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.((z z) z))) REDUCED to normal form. ------ 91891/8243664. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 91892/8244171. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 91893/8244198. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.(^b.(^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. ------ 91894/8244306. ------ 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. ------ 91895/8244423. ------ 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. ------ 91896/8244504. ------ 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))(^x.a)) REDUCED to normal form. ------ 91897/8244663. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b (a (^y.y)))) 3. ==[ beta ]==> (((b (a (^y.y)))(b (a (^y.y))))((b (a (^y.y)))(b (a (^y.y))))) 4. ==[ alpha ]==> (((b (a (^x.x)))(b (a (^y.y))))((b (a (^z.z)))(b (a (^x1.x1))))) REDUCED to normal form. ------ 91898/8244945. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91899/8244981. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.z))) 3. ==[ beta ]==> ((b b)(^y.(^z.z))) 4. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 91900/8245008. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 91901/8245022. ------ 1. ==[ start ]==> (^a.(^b.((a a)(a a)))) 2. ==[ alpha ]==> (^x.(^y.((x x)(x x)))) REDUCED to normal form. ------ 91902/8245023. ------ 1. ==[ start ]==> (a (^b.((a a)(a a)))) 2. ==[ alpha ]==> (a (^x.((a a)(a a)))) REDUCED to normal form. ------ 91903/8245038. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(a a)) a)) REDUCED to normal form. ------ 91904/8245065. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 91905/8245074. ------ 1. ==[ start ]==> (((a a) a)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 91906/8245101. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 91907/8245182. ------ 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. ------ 91908/8245209. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 91909/8245263. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^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. ------ 91910/8245317. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 91911/8245353. ------ 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))) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 91912/8245542. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a b)((a a) a))) 3. ==[ beta ]==> (((a a) a)((a b)((a a) a))) REDUCED to normal form. ------ 91913/8245569. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(a b))) REDUCED to normal form. ------ 91914/8245596. ------ 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. ------ 91915/8245623. ------ 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. ------ 91916/8245695. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (^b.b))) 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. ------ 91917/8245740. ------ 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. ------ 91918/8245749. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 91919/8245767. ------ 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.(^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. ------ 91920/8245776. ------ 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 (^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. ------ 91921/8245821. ------ 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))(^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. ------ 91922/8245848. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 91923/8245938. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 91924/8246010. ------ 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))(^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. ------ 91925/8246064. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) b) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) a)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 91926/8246073. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 91927/8246100. ------ 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.(^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. ------ 91928/8246118. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a) c)) 5. ==[ beta ]==> ((^y.y)((b a) c)) 6. ==[ alpha ]==> ((^x.x)((b a) c)) 7. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 91929/8246181. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a))(^b.(^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. ------ 91930/8246208. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.b)(^c.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. ------ 91931/8246352. ------ 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. ------ 91932/8246379. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(a ((^a.a) 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. ------ 91933/8246406. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 91934/8246667. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 91935/8246694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 91936/8246721. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.(^x1.x1)))(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. ------ 91937/8246739. ------ 1. ==[ start ]==> ((a (^a.b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 91938/8246910. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 91939/8246928. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 91940/8247009. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1))) a)) IRREDUCIBLE: cycle. ------ 91941/8247072. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a))(^b.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. ------ 91942/8247099. ------ 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. ------ 91943/8247126. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 91944/8247180. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 91945/8247207. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 91946/8247234. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 91947/8247288. ------ 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)(^x.x))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 91948/8247306. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 91949/8247324. ------ 1. ==[ start ]==> (((a a)(a b))((b a)(a a))) REDUCED to normal form. ------ 91950/8247351. ------ 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. ------ 91951/8247378. ------ 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.y1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))((a a)((^z.z) a))) 8. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 9. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 91952/8247405. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b)(a (a a)))) REDUCED to normal form. ------ 91953/8247432. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(((a 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. ------ 91954/8247459. ------ 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 a) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)((a a) a))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 91955/8247486. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))(a b))) REDUCED to normal form. ------ 91956/8247513. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^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. ------ 91957/8247603. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.y1))) 5. ==[ beta ]==> ((^y.y)((b a)(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 91958/8247684. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 91959/8247693. ------ 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. ------ 91960/8247747. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^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. ------ 91961/8247765. ------ 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. ------ 91962/8247774. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a b)(a b))) REDUCED to normal form. ------ 91963/8247828. ------ 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 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. ------ 91964/8247855. ------ 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. ------ 91965/8247900. ------ 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)) REDUCED to normal form. ------ 91966/8247909. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 91967/8247936. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(a a))(^b.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. ------ 91968/8248107. ------ 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. ------ 91969/8248125. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^d.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)(^z.a))) 3. ==[ beta ]==> (b ((^y.y)(^z.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 91970/8248134. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (b a))) REDUCED to normal form. ------ 91971/8248161. ------ 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))) REDUCED to normal form. ------ 91972/8248188. ------ 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 (^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 91973/8248368. ------ 1. ==[ start ]==> (((a b) c)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(b (^x.(^y.y)))) REDUCED to normal form. ------ 91974/8248440. ------ 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.(^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. ------ 91975/8248467. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b)(^b.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. ------ 91976/8248476. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 91977/8248503. ------ 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. ------ 91978/8248521. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.z))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 91979/8248557. ------ 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.(y1 y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 91980/8248584. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 91981/8248602. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 91982/8248611. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 91983/8248638. ------ 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)(^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. ------ 91984/8248863. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 91985/8248890. ------ 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)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 91986/8248917. ------ 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)(^x.x))(a a))((a a)(a a))) REDUCED to normal form. ------ 91987/8248944. ------ 1. ==[ start ]==> ((a (b a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 91988/8249178. ------ 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)(^x.x)) b) b) REDUCED to normal form. ------ 91989/8249223. ------ 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. ------ 91990/8249250. ------ 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.(^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. ------ 91991/8249286. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.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. ------ 91992/8249304. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 91993/8249313. ------ 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. ------ 91994/8249367. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(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. ------ 91995/8249385. ------ 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. ------ 91996/8249394. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b)(^a.(^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. ------ 91997/8249421. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a)(^b.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. ------ 91998/8249448. ------ 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))(^z1.(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. ------ 91999/8249511. ------ 1. ==[ start ]==> (((a a)(b a))(c ((a a) a))) REDUCED to normal form. ------ 92000/8249538. ------ 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. ------ 92001/8249565. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((^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. ------ 92002/8249592. ------ 1. ==[ start ]==> (((a (a a))(a b))((a b)(a a))) REDUCED to normal form. ------ 92003/8249619. ------ 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. ------ 92004/8249646. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z) a)) 8. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y) a)) 9. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 92005/8249673. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 92006/8249700. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) 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. ------ 92007/8249727. ------ 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 (^z.z))((a a) a))) REDUCED to normal form. ------ 92008/8249772. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92009/8249790. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a b)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.x1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92010/8249871. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> ((a a)((a (a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 92011/8249952. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> (b ((a a)(^x1.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 92012/8250069. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 92013/8250096. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 92014/8250168. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.b) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.b) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.b) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.b) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b) a)) 7. ==[ beta ]==> (((a a)(a a))((^y.b) a)) 8. ==[ alpha ]==> (((a a)(a a))((^x.b) a)) 9. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 92015/8250312. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (^z.a))) REDUCED to normal form. ------ 92016/8250357. ------ 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))(((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. ------ 92017/8250384. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a))(^a.(^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. ------ 92018/8250663. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 92019/8250672. ------ 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. ------ 92020/8250699. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^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. ------ 92021/8250708. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^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. ------ 92022/8250870. ------ 1. ==[ start ]==> (((^a.b)(^c.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. ------ 92023/8250978. ------ 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)(^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. ------ 92024/8250987. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(^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. ------ 92025/8251014. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 92026/8251032. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z) a) c)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a) c)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a) c)) 5. ==[ beta ]==> (b (((^y.y) a) c)) 6. ==[ alpha ]==> (b (((^x.x) a) c)) 7. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 92027/8251041. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 92028/8251068. ------ 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.(^z1.z1))(^x2.(x2 x2)))) 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. ------ 92029/8251113. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1)) 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. ------ 92030/8251176. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c (^y.a))) REDUCED to normal form. ------ 92031/8251203. ------ 1. ==[ start ]==> (((a b)(^c.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.(y y)))) REDUCED to normal form. ------ 92032/8251230. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a (^b.(^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. ------ 92033/8251257. ------ 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))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(a a))) REDUCED to normal form. ------ 92034/8251302. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 92035/8251311. ------ 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.(^z1.z1))((^x2.x2) 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. ------ 92036/8251338. ------ 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. ------ 92037/8251428. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(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. ------ 92038/8251455. ------ 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. ------ 92039/8251482. ------ 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. ------ 92040/8251509. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 92041/8251536. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))((a a)((^x.x) a))) 3. ==[ beta ]==> (((a b)((a a) a))((a a) a)) REDUCED to normal form. ------ 92042/8251671. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c (a a))) 3. ==[ beta ]==> ((b (a a))(c (a a))) REDUCED to normal form. ------ 92043/8251698. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(b (a (^x.x)))) REDUCED to normal form. ------ 92044/8251734. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 92045/8251869. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z)) a)) 3. ==[ beta ]==> (b ((a (^z.z)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 92046/8251977. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92047/8252013. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.y)(^z.z))) 3. ==[ beta ]==> ((b b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((b b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 92048/8252040. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(a (^x.x))) REDUCED to normal form. ------ 92049/8252057. ------ 1. ==[ start ]==> (^a.((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (^x.((^y.y)((x x)(x x)))) 3. ==[ beta ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 92050/8252058. ------ 1. ==[ start ]==> (a ((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (a ((^x.x)((a a)(a a)))) 3. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 92051/8252061. ------ 1. ==[ start ]==> ((^a.a)(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 3. ==[ beta ]==> (^y.((a a)(a a))) 4. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 92052/8254338. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(a (^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.((^y1.(y1 (^z1.(^x2.x2))))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.((^y.(y (^z.(^x1.x1))))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^x.((^y1.(^z1.z1))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92053/8256813. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^x1.(^y1.(x1 x1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92054/8259093. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a))) a) 2. ==[ alpha ]==> (((^x.x)((a a)(a a))) a) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 92055/8259099. ------ 1. ==[ start ]==> ((^a.a)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)((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. ------ 92056/8259102. ------ 1. ==[ start ]==> ((a a)(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 92057/8259153. ------ 1. ==[ start ]==> ((^a.b)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 92058/8259423. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.y1))) 3. ==[ eta ]==> ((^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. ------ 92059/8259462. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1)(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((y1 y1)(y1 y1)))) 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. ------ 92060/8259594. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 92061/8260044. ------ 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 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. ------ 92062/8260452. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(^b.b))) 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. ------ 92063/8260989. ------ 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 ]==> (((^y.(y y))((^z.z)(a a))) b) 4. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a))) b) 5. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(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. ------ 92064/8261376. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.((a (a (^z.(^x1.x1))))(a (a (^z.(^x1.x1)))))) 4. ==[ alpha ]==> (^x.((a (a (^y.(^z.z))))(a (a (^x1.(^y1.y1)))))) REDUCED to normal form. ------ 92065/8261379. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 92066/8262963. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^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)))) REDUCED to normal form. ------ 92067/8263188. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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 (^x.(a a))) REDUCED to normal form. ------ 92068/8263638. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(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. ------ 92069/8263851. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (^x1.(a a)))) 3. ==[ beta ]==> ((a (^x1.(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 92070/8263854. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 92071/8264241. ------ 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 ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(z b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(z b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(z b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(y b))) 7. ==[ beta ]==> (((a a)(a a))(^y.(y b))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(x b))) REDUCED to normal form. ------ 92072/8264583. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 92073/8264745. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.a))) REDUCED to normal form. ------ 92074/8265186. ------ 1. ==[ start ]==> (((^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)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 92075/8265411. ------ 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. ------ 92076/8265528. ------ 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. ------ 92077/8265636. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 92078/8265717. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.a)) REDUCED to normal form. ------ 92079/8265768. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1))))(((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2))))(((^z2.(^x3.x3))(^y3.(^z3.z3)))((^x4.(^y4.y4))(^z4.(^x5.x5))))) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2))))(((^z2.(^x3.x3))(^y3.(^z3.z3)))((^x4.(^y4.y4))(^z4.(^x5.x5))))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(^y1.y1))))(((^z1.(^x2.x2))(^y2.(^z2.z2)))((^x3.(^y3.y3))(^z3.(^x4.x4))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))(((^z1.(^x2.x2))(^y2.(^z2.z2)))((^x3.(^y3.y3))(^z3.(^x4.x4))))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.(^z1.z1))(^x2.(^y2.y2)))((^z2.(^x3.x3))(^y3.(^z3.z3))))) 9. ==[ beta ]==> ((^y.y)(((^y1.(^z1.z1))(^x2.(^y2.y2)))((^z2.(^x3.x3))(^y3.(^z3.z3))))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 11. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 13. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 15. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 16. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92080/8265807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 92081/8265942. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 92082/8266086. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.a)) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.a)) 3. ==[ beta ]==> ((b b)(^y.a)) 4. ==[ alpha ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 92083/8266113. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.a)) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.a)) REDUCED to normal form. ------ 92084/8266131. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.a)) 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. ------ 92085/8266143. ------ 1. ==[ start ]==> ((a a)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a a)((^x.x)((a a)(a a)))) 3. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 92086/8266161. ------ 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. ------ 92087/8266188. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a) a)(((^x.x) b) b)) 3. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 92088/8266197. ------ 1. ==[ start ]==> ((a b)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 92089/8266440. ------ 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 (^x.x))(a a)) a) REDUCED to normal form. ------ 92090/8266467. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 92091/8266476. ------ 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. ------ 92092/8266503. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 92093/8266512. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 92094/8266539. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y) b)) 3. ==[ beta ]==> ((a a)((^y.y) b)) 4. ==[ alpha ]==> ((a a)((^x.x) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 92095/8266557. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))(a (^x1.x1)))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 92096/8266566. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 92097/8266584. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((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. ------ 92098/8266638. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 92099/8266746. ------ 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. ------ 92100/8266773. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 92101/8266827. ------ 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 ]==> (((^y.y)(^y.y))((a a)((^z.z) 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)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 92102/8266863. ------ 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. ------ 92103/8266890. ------ 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.(^z1.z1)))) REDUCED to normal form. ------ 92104/8266917. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 92105/8266944. ------ 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. ------ 92106/8266980. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 92107/8267007. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 92108/8267052. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((b b)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((b b)(^y.(a a))) 8. ==[ alpha ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 92109/8267061. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 92110/8267088. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 92111/8267187. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) b) a)) 3. ==[ beta ]==> (((a (a a)) b)(b a)) REDUCED to normal form. ------ 92112/8267214. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.(^x1.x1))) b)) 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. ------ 92113/8267241. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a) c)) REDUCED to normal form. ------ 92114/8267385. ------ 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)(^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. ------ 92115/8267466. ------ 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. ------ 92116/8267493. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.a)(^b.b))) 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. ------ 92117/8267556. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^y1.y1)))) 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. ------ 92118/8267610. ------ 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. ------ 92119/8267691. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a b))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a b))) 7. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 92120/8267718. ------ 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. ------ 92121/8267772. ------ 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)((^y.y) a))((a (^z.z))(b a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(b a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(b a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(b a))) 7. ==[ beta ]==> ((a a)((a (^y.y))(b a))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(b a))) REDUCED to normal form. ------ 92122/8267835. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 92123/8267925. ------ 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. ------ 92124/8267952. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 92125/8268006. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^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. ------ 92126/8268024. ------ 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. ------ 92127/8268033. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a b))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a b))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((a (a b))((a a)(a a))) REDUCED to normal form. ------ 92128/8268186. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 92129/8268393. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (b a))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (b a))) 3. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 92130/8268420. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 92131/8268636. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 92132/8268663. ------ 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 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. ------ 92133/8268807. ------ 1. ==[ start ]==> (((a b) b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((a b)(^x.(x x)))) REDUCED to normal form. ------ 92134/8268834. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a) a)(^b.(^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. ------ 92135/8268861. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 92136/8268888. ------ 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. ------ 92137/8268942. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 92138/8268996. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((b a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((b a) a)) REDUCED to normal form. ------ 92139/8269023. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 92140/8269086. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 92141/8269113. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 92142/8269140. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a))(^c.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. ------ 92143/8269167. ------ 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))(^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. ------ 92144/8269194. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(a a)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 92145/8269338. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1) 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. ------ 92146/8269473. ------ 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 ((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. ------ 92147/8269536. ------ 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. ------ 92148/8269590. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b)(^z.a))) REDUCED to normal form. ------ 92149/8269617. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.b))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 92150/8269671. ------ 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. ------ 92151/8269698. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (^z.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 92152/8269725. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 92153/8269779. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 92154/8269815. ------ 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 a)) REDUCED to normal form. ------ 92155/8269842. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b)(^b.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. ------ 92156/8269869. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 92157/8269896. ------ 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. ------ 92158/8269950. ------ 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. ------ 92159/8269977. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^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. ------ 92160/8270148. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((a (a a))((^z.z)(^x1.x1)))) 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. ------ 92161/8270229. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((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. ------ 92162/8270292. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 92163/8270400. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (^z.a))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 92164/8270427. ------ 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. ------ 92165/8270481. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 92166/8270508. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a b) b)) REDUCED to normal form. ------ 92167/8270535. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a) a) c)) 3. ==[ beta ]==> (((a a)(^y.a))(((a a) a) c)) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a) a) c)) REDUCED to normal form. ------ 92168/8270625. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 92169/8270652. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^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. ------ 92170/8270679. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^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. ------ 92171/8270895. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(a a)))) REDUCED to normal form. ------ 92172/8271228. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(c ((^z.z)(^x1.x1)))) 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. ------ 92173/8271282. ------ 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)(a a))((^y.y)(a a)))(a (a b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (a b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (a b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (a b))) 7. ==[ beta ]==> (((a a)(a a))(a (a b))) REDUCED to normal form. ------ 92174/8271291. ------ 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. ------ 92175/8271318. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a) b)) 5. ==[ beta ]==> ((^y.b)((^z.a) b)) 6. ==[ alpha ]==> ((^x.b)((^y.a) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 92176/8271363. ------ 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) a))) 3. ==[ beta ]==> (b ((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 92177/8271480. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 92178/8271516. ------ 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 (^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. ------ 92179/8271543. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(b a))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x))(b a))(a ((^y.y) a))) 7. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 92180/8271570. ------ 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 (a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 92181/8271597. ------ 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. ------ 92182/8271624. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 92183/8271678. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^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. ------ 92184/8271705. ------ 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. ------ 92185/8271732. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 92186/8271822. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 92187/8271849. ------ 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. ------ 92188/8272101. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(^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. ------ 92189/8272128. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (a a)) b)) 3. ==[ beta ]==> ((b a)((a (a a)) b)) REDUCED to normal form. ------ 92190/8272155. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a) c)) 3. ==[ beta ]==> (((a a)(^x.x))(a c)) REDUCED to normal form. ------ 92191/8272227. ------ 1. ==[ start ]==> (((^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)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 92192/8272263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z)) b)) 5. ==[ beta ]==> ((^y.(a a))((^z.(z z)) b)) 6. ==[ alpha ]==> ((^x.(a a))((^y.(y y)) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 92193/8272290. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 92194/8272308. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 92195/8272317. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^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. ------ 92196/8272371. ------ 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. ------ 92197/8272425. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1))(^z1.a))) REDUCED to normal form. ------ 92198/8272452. ------ 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. ------ 92199/8272488. ------ 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))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^y.y))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) b)(^y.y)) 8. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 92200/8272515. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 92201/8272542. ------ 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))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 92202/8272569. ------ 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. ------ 92203/8272623. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 92204/8272650. ------ 1. ==[ start ]==> (((a b)((a a) a))(b (^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(b (^x.a))) REDUCED to normal form. ------ 92205/8272677. ------ 1. ==[ start ]==> ((((^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 x1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (^z.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 92206/8272704. ------ 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. ------ 92207/8272758. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 92208/8272785. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((b (a a))((^y.a)(^z.z))) 4. ==[ alpha ]==> ((b (a a))((^x.a)(^y.y))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 92209/8272812. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 92210/8272848. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 92211/8272983. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 92212/8273091. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(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. ------ 92213/8273127. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a) a)) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a) a)) 3. ==[ beta ]==> ((b b)((a a) a)) REDUCED to normal form. ------ 92214/8273154. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x) a)) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 92215/8273172. ------ 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. ------ 92216/8273193. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.((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. ------ 92217/8275461. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.(^z1.z1))))(^z.(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.(^z2.z2)))))) 5. ==[ beta ]==> (^x.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 92218/8280216. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a))) b) 2. ==[ alpha ]==> (((^x.x)((a a)(a a))) b) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 92219/8280240. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92220/8280243. ------ 1. ==[ start ]==> ((a (^a.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((a a)(a a)))) REDUCED to normal form. ------ 92221/8280258. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(a a)) a)) 3. ==[ beta ]==> ((((a a)(a a)) a)(((a a)(a a)) a)) REDUCED to normal form. ------ 92222/8280285. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.b)(((^y.y) b) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 92223/8280321. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92224/8280483. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^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 ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92225/8280594. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(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. ------ 92226/8280603. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((y y)(y y)))) REDUCED to normal form. ------ 92227/8281050. ------ 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. ------ 92228/8281269. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(x x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 7. ==[ beta ]==> ((^y.y)(^y1.y1)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92229/8281608. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.b) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^y.y) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z) a)) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 92230/8281941. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 92231/8282121. ------ 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. ------ 92232/8282214. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(a (^x1.(^y1.y1))))) IRREDUCIBLE: cycle. ------ 92233/8282508. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.(^y1.(^z1.z1))))((^z.z)(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.(^y2.(^z2.z2)))))) 5. ==[ beta ]==> (^x.((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.(^y2.(^z2.z2)))))) 6. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2)))))) 7. ==[ beta ]==> (^x.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 92234/8282511. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 92235/8282808. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 92236/8283330. ------ 1. ==[ start ]==> (((^a.b) c)(^d.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(^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. ------ 92237/8283600. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 92238/8284146. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(a a)) b)) 3. ==[ eta ]==> (b ((^y.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 92239/8284695. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 92240/8284995. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92241/8285373. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.z))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.z))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.y))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.y))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 92242/8285382. ------ 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. ------ 92243/8285562. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92244/8285586. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92245/8285715. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(^c.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. ------ 92246/8285901. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 92247/8286183. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.((^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. ------ 92248/8286318. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(^b.(^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. ------ 92249/8286435. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.(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. ------ 92250/8286900. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (^y.y)) b)) 3. ==[ beta ]==> ((((a (^y.y)) b)((a (^y.y)) b))(((a (^y.y)) b)((a (^y.y)) b))) 4. ==[ alpha ]==> ((((a (^x.x)) b)((a (^y.y)) b))(((a (^z.z)) b)((a (^x1.x1)) b))) REDUCED to normal form. ------ 92251/8286939. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 92252/8287074. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 92253/8287182. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^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. ------ 92254/8287218. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.b)) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.b)) 3. ==[ beta ]==> ((b b)(^y.b)) 4. ==[ alpha ]==> ((b b)(^x.b)) REDUCED to normal form. ------ 92255/8287245. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(x x))) REDUCED to normal form. ------ 92256/8287263. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.(^a.a))) 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. ------ 92257/8287293. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 92258/8287311. ------ 1. ==[ start ]==> ((a (a a))(((a a)(a a)) a)) REDUCED to normal form. ------ 92259/8287338. ------ 1. ==[ start ]==> ((a b)(((^a.a) b) b)) 2. ==[ alpha ]==> ((a b)(((^x.x) b) b)) 3. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 92260/8287347. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.b)(^a.(^a.a)))) 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)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 92261/8287374. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 92262/8287455. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 92263/8287482. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 92264/8287536. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 92265/8287617. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 92266/8287653. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a ((a a)(a a)))) REDUCED to normal form. ------ 92267/8287680. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(a a))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(a a))) 5. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 92268/8287707. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 92269/8287734. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((b a) a)) REDUCED to normal form. ------ 92270/8287761. ------ 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. ------ 92271/8287869. ------ 1. ==[ start ]==> (((^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)))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)((^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. ------ 92272/8287950. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)((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))))) REDUCED to normal form. ------ 92273/8287968. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (^b.b))) 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. ------ 92274/8287977. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)((^a.a) 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. ------ 92275/8288022. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 92276/8288103. ------ 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. ------ 92277/8288121. ------ 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)))) 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. ------ 92278/8288148. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a 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. ------ 92279/8288175. ------ 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. ------ 92280/8288202. ------ 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))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.(a a))) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.(a a))) REDUCED to normal form. ------ 92281/8288238. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92282/8288265. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^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. ------ 92283/8288319. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) b))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1) b))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 7. ==[ beta ]==> ((^y.y)((^z.z) b)) 8. ==[ alpha ]==> ((^x.x)((^y.y) b)) 9. ==[ beta ]==> ((^y.y) b) 10. ==[ alpha ]==> ((^x.x) b) 11. ==[ beta ]==> b REDUCED to normal form. ------ 92284/8288373. ------ 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.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92285/8288454. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 92286/8288661. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.b) a)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x) a)) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 92287/8288787. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a b)((^y.y)(^z.z)))) 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. ------ 92288/8288814. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 92289/8288868. ------ 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. ------ 92290/8288895. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 92291/8288922. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(b a))) REDUCED to normal form. ------ 92292/8288949. ------ 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 (^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. ------ 92293/8288994. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 92294/8289012. ------ 1. ==[ start ]==> (((a a)((a a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 92295/8289039. ------ 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 a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 92296/8289066. ------ 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.(z z)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a 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. ------ 92297/8289093. ------ 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. ------ 92298/8289147. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^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. ------ 92299/8289174. ------ 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. ------ 92300/8289183. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 92301/8289264. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(a (^x1.(^y1.y1))))) IRREDUCIBLE: cycle. ------ 92302/8289345. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 92303/8289372. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 92304/8289399. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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. ------ 92305/8289453. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^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. ------ 92306/8289543. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (b a))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (b a))) REDUCED to normal form. ------ 92307/8289561. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 92308/8289579. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 92309/8289732. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) 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 ((^y.y)((a a) a))) 6. ==[ alpha ]==> (b ((^x.x)((a a) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 92310/8289804. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 92311/8289858. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.(^x2.x2))))) 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. ------ 92312/8289939. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 92313/8290020. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^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. ------ 92314/8290074. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1)(a a)))) 9. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 11. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 12. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 13. ==[ beta ]==> a REDUCED to normal form. ------ 92315/8290380. ------ 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. ------ 92316/8290614. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 92317/8290623. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) c)((a (^x.x))(a a))) REDUCED to normal form. ------ 92318/8290650. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 92319/8290722. ------ 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 (^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. ------ 92320/8290857. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.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. ------ 92321/8290956. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a) b)) REDUCED to normal form. ------ 92322/8290983. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a b) c)) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b) c)) REDUCED to normal form. ------ 92323/8291199. ------ 1. ==[ start ]==> ((a (b a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (b a))((^x.(a a)) b)) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 92324/8291370. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (^z.(a a)))) 3. ==[ beta ]==> (b (b (^z.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 92325/8291478. ------ 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. ------ 92326/8291505. ------ 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.(^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. ------ 92327/8291559. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.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. ------ 92328/8291640. ------ 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. ------ 92329/8291748. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^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. ------ 92330/8291847. ------ 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. ------ 92331/8291874. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.b) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.b) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b) b)) 5. ==[ beta ]==> (((a a) a)((^y.b) b)) 6. ==[ alpha ]==> (((a a) a)((^x.b) b)) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 92332/8292027. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 92333/8292045. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92334/8292126. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(a 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)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 92335/8292207. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^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. ------ 92336/8292315. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^a.a))(^b.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. ------ 92337/8292342. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 92338/8292369. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.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. ------ 92339/8292423. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(^x1.b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(^z.b))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.b))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.b))) 9. ==[ beta ]==> (((a a)(a a))(^y.b)) 10. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 92340/8292432. ------ 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. ------ 92341/8292459. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(a a))) 5. ==[ beta ]==> ((^y.b)(((a a) a)(a a))) 6. ==[ alpha ]==> ((^x.b)(((a a) a)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 92342/8292513. ------ 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) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 92343/8292540. ------ 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 (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (a (a a)))) REDUCED to normal form. ------ 92344/8292567. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 92345/8292612. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a (^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92346/8292639. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a)(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(a a))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 92347/8292657. ------ 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)(^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. ------ 92348/8292684. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a))(^y.a))) REDUCED to normal form. ------ 92349/8292711. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 92350/8292738. ------ 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. ------ 92351/8292765. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 92352/8292792. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a) a) a)) REDUCED to normal form. ------ 92353/8292819. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z) b)) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y) b)) 7. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 92354/8292918. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 92355/8292954. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.a) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a) a)) 3. ==[ beta ]==> ((a b)((^y.a) a)) 4. ==[ alpha ]==> ((a b)((^x.a) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 92356/8293125. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^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. ------ 92357/8293233. ------ 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)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92358/8293287. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 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. ------ 92359/8293314. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.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. ------ 92360/8293368. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 92361/8293404. ------ 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 a) REDUCED to normal form. ------ 92362/8293431. ------ 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. ------ 92363/8293449. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c (^b.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. ------ 92364/8293458. ------ 1. ==[ start ]==> (((a b)(^c.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 (^y.y)) a)) REDUCED to normal form. ------ 92365/8293485. ------ 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 (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. ------ 92366/8293557. ------ 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. ------ 92367/8293629. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (a a)) a)) 3. ==[ beta ]==> (((a a) b)((a (a a)) a)) REDUCED to normal form. ------ 92368/8293656. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a b)) REDUCED to normal form. ------ 92369/8293683. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (^y.y)) c)) 3. ==[ beta ]==> ((a (b a))((a (^y.y)) c)) 4. ==[ alpha ]==> ((a (b a))((a (^x.x)) c)) REDUCED to normal form. ------ 92370/8293737. ------ 1. ==[ start ]==> ((((^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)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z)) a)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(z z)) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y)) a)) 7. ==[ beta ]==> ((a a)((^y.(y y)) a)) 8. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 92371/8293764. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a) b)) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 92372/8293791. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^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. ------ 92373/8293845. ------ 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. ------ 92374/8293899. ------ 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))) REDUCED to normal form. ------ 92375/8293926. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(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. ------ 92376/8293953. ------ 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. ------ 92377/8293989. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 92378/8294124. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 92379/8294232. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(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. ------ 92380/8294268. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a b)) 2. ==[ alpha ]==> ((((^x.x) b) b)(a b)) 3. ==[ beta ]==> ((b b)(a b)) REDUCED to normal form. ------ 92381/8294295. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a (a a))) REDUCED to normal form. ------ 92382/8294313. ------ 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. ------ 92383/8295711. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.((^z.z) b))) 3. ==[ beta ]==> (((^y.((^z.z) b))(^y.((^z.z) b)))(^y.((^z.z) b))) 4. ==[ alpha ]==> (((^x.((^y.y) b))(^z.((^x1.x1) b)))(^y1.((^z1.z1) b))) 5. ==[ beta ]==> (((^y.y) b)(^y1.((^z1.z1) b))) 6. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z) b))) 7. ==[ beta ]==> (b (^y.((^z.z) b))) 8. ==[ alpha ]==> (b (^x.((^y.y) b))) 9. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 92384/8300004. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((z z) z))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 92385/8301411. ------ 1. ==[ start ]==> (((^a.a) a)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((a a)(a a)))) 3. ==[ beta ]==> (a (^y.((a a)(a a)))) 4. ==[ alpha ]==> (a (^x.((a a)(a a)))) REDUCED to normal form. ------ 92386/8301762. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(a a)))) REDUCED to normal form. ------ 92387/8301984. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(a a)))((((^y.y)(^z.z))((^x1.x1)(a a)))(((^y.y)(^z.z))((^x1.x1)(a a))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((((^x1.x1)(^y1.y1))((^z1.z1)(a a)))(((^x2.x2)(^y2.y2))((^z2.z2)(a a))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((((^x1.x1)(^y1.y1))((^z1.z1)(a a)))(((^x2.x2)(^y2.y2))((^z2.z2)(a a))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((((^z.z)(^x1.x1))((^y1.y1)(a a)))(((^z1.z1)(^x2.x2))((^y2.y2)(a a))))) 7. ==[ beta ]==> (((^y.y)(a a))((((^z.z)(^x1.x1))((^y1.y1)(a a)))(((^z1.z1)(^x2.x2))((^y2.y2)(a a))))) 8. ==[ alpha ]==> (((^x.x)(a a))((((^y.y)(^z.z))((^x1.x1)(a a)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a))))) 9. ==[ beta ]==> ((a a)((((^y.y)(^z.z))((^x1.x1)(a a)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a))))) 10. ==[ alpha ]==> ((a a)((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a))))) 11. ==[ beta ]==> ((a a)(((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a))))) 12. ==[ alpha ]==> ((a a)(((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a))))) 13. ==[ beta ]==> ((a a)(((^y.y)(a a))(((^z.z)(^x1.x1))((^y1.y1)(a a))))) 14. ==[ alpha ]==> ((a a)(((^x.x)(a a))(((^y.y)(^z.z))((^x1.x1)(a a))))) 15. ==[ beta ]==> ((a a)((a a)(((^y.y)(^z.z))((^x1.x1)(a a))))) 16. ==[ alpha ]==> ((a a)((a a)(((^x.x)(^y.y))((^z.z)(a a))))) 17. ==[ beta ]==> ((a a)((a a)((^y.y)((^z.z)(a a))))) 18. ==[ alpha ]==> ((a a)((a a)((^x.x)((^y.y)(a a))))) 19. ==[ beta ]==> ((a a)((a a)((^y.y)(a a)))) 20. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 21. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 92388/8302209. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92389/8302437. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((^y.y) x))) 3. ==[ eta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 92390/8302767. ------ 1. ==[ start ]==> ((^a.((a a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x) x))(a ((^y.y) b))) 3. ==[ beta ]==> (((a ((^y.y) b))(a ((^y.y) b)))(a ((^y.y) b))) 4. ==[ alpha ]==> (((a ((^x.x) b))(a ((^y.y) b)))(a ((^z.z) b))) 5. ==[ beta ]==> (((a b)(a ((^y.y) b)))(a ((^z.z) b))) 6. ==[ alpha ]==> (((a b)(a ((^x.x) b)))(a ((^y.y) b))) 7. ==[ beta ]==> (((a b)(a b))(a ((^y.y) b))) 8. ==[ alpha ]==> (((a b)(a b))(a ((^x.x) b))) 9. ==[ beta ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 92391/8302770. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.((^y.y) b))) 3. ==[ beta ]==> ((a ((a a) a))(^x.b)) REDUCED to normal form. ------ 92392/8303085. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 92393/8303100. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 92394/8303688. ------ 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. ------ 92395/8303874. ------ 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. ------ 92396/8304246. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(y a))) REDUCED to normal form. ------ 92397/8304525. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(b y))) 3. ==[ eta ]==> ((((^x.x)(a a))(a a)) b) 4. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 92398/8304549. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((((a a)(^z.z))(a a))(((a a)(^z.z))(a a)))(^y.y)) 4. ==[ alpha ]==> (((((a a)(^x.x))(a a))(((a a)(^y.y))(a a)))(^z.z)) REDUCED to normal form. ------ 92399/8305029. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 92400/8305281. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 92401/8305305. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(a a))(a a))) 3. ==[ eta ]==> (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. ------ 92402/8305731. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 92403/8305956. ------ 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. ------ 92404/8306142. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)(a b))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 92405/8306541. ------ 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. ------ 92406/8306730. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.b))) REDUCED to normal form. ------ 92407/8306745. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92408/8307060. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a ((a a) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 92409/8307063. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.((y y) y))) 3. ==[ beta ]==> ((a b)(^y.((y y) y))) 4. ==[ alpha ]==> ((a b)(^x.((x x) x))) REDUCED to normal form. ------ 92410/8307351. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.x1))) REDUCED to normal form. ------ 92411/8307621. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 92412/8307846. ------ 1. ==[ start ]==> ((((^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 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(z (z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z (z z)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y (y y)))) 7. ==[ beta ]==> ((a a)(^y.(y (y y)))) 8. ==[ alpha ]==> ((a a)(^x.(x (x x)))) REDUCED to normal form. ------ 92413/8308098. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 92414/8308233. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.(^a.(^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. ------ 92415/8308341. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.y1)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92416/8308377. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(a a))) 3. ==[ beta ]==> ((b b)(^y.(a a))) 4. ==[ alpha ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 92417/8308404. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 92418/8308422. ------ 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. ------ 92419/8308470. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)((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)))) 5. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 92420/8308488. ------ 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. ------ 92421/8308515. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b) b)) 3. ==[ beta ]==> ((a a)(((^y.y) b) b)) 4. ==[ alpha ]==> ((a a)(((^x.x) b) b)) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 92422/8308524. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.b)(^a.(^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. ------ 92423/8308551. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 92424/8308605. ------ 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. ------ 92425/8308632. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 92426/8308659. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 92427/8308821. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 92428/8308866. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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. ------ 92429/8308965. ------ 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.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. ------ 92430/8308992. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)((a a) a))) REDUCED to normal form. ------ 92431/8309019. ------ 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. ------ 92432/8309046. ------ 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)))((^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. ------ 92433/8309118. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(c (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)(c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 92434/8309145. ------ 1. ==[ start ]==> (((a (a a)) a)(b (^b.b))) 2. ==[ alpha ]==> (((a (a a)) a)(b (^x.x))) REDUCED to normal form. ------ 92435/8309190. ------ 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. ------ 92436/8309199. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 92437/8309226. ------ 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 (^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 92438/8309244. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(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. ------ 92439/8309271. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 92440/8309361. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(a b))) 3. ==[ beta ]==> ((b b)((^y.a)(a b))) 4. ==[ alpha ]==> ((b b)((^x.a)(a b))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 92441/8309406. ------ 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. ------ 92442/8309487. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.y1))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 92443/8309496. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)((^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. ------ 92444/8309523. ------ 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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 92445/8309541. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) b)) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 7. ==[ beta ]==> ((a (^y.(^z.z))) b) 8. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 92446/8309550. ------ 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.(^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. ------ 92447/8309568. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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. ------ 92448/8309604. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 92449/8309631. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 92450/8309658. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 7. ==[ beta ]==> ((^y.b)(^z.a)) 8. ==[ alpha ]==> ((^x.b)(^y.a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 92451/8309802. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (a (^a.(^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. ------ 92452/8309829. ------ 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. ------ 92453/8309865. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2))) 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. ------ 92454/8309919. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1)) d)) 5. ==[ beta ]==> (a ((^z.(^x1.x1)) d)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) d)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 92455/8310090. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (^d.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.a))) REDUCED to normal form. ------ 92456/8310117. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 92457/8310144. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 92458/8310162. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 92459/8310333. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 92460/8310351. ------ 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. ------ 92461/8310432. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.(^x1.(^y1.y1))))) IRREDUCIBLE: cycle. ------ 92462/8310513. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 92463/8310522. ------ 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. ------ 92464/8310549. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 92465/8310603. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 92466/8310630. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^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. ------ 92467/8310657. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 92468/8310684. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 92469/8310747. ------ 1. ==[ start ]==> (((a a)(a b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 92470/8310774. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((b a)(a a))) REDUCED to normal form. ------ 92471/8310801. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 92472/8310828. ------ 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) 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. ------ 92473/8310855. ------ 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. ------ 92474/8310882. ------ 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)(^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. ------ 92475/8310909. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^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. ------ 92476/8310936. ------ 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. ------ 92477/8311107. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 92478/8311116. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 92479/8311143. ------ 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. ------ 92480/8311161. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a) a)(^b.(^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. ------ 92481/8311170. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 92482/8311188. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 92483/8311197. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^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. ------ 92484/8311242. ------ 1. ==[ start ]==> (((^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)(^y1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(a a)))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(a a)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 11. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 12. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 13. ==[ beta ]==> (a (^y.(a a))) 14. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 92485/8311251. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 92486/8311278. ------ 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 a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1)))((^y.(^z.z))((a a)(^x1.x1)))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92487/8311305. ------ 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. ------ 92488/8311323. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((b a) a)) 3. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 92489/8311548. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 92490/8311557. ------ 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. ------ 92491/8311584. ------ 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. ------ 92492/8311611. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 92493/8311647. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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. ------ 92494/8311791. ------ 1. ==[ start ]==> (((a b) c)(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)(c (^x.(a a)))) REDUCED to normal form. ------ 92495/8311818. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(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. ------ 92496/8311863. ------ 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.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 92497/8311890. ------ 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.(^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. ------ 92498/8311899. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 92499/8311926. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 92500/8311944. ------ 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.(y y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 92501/8311980. ------ 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)(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92502/8312007. ------ 1. ==[ start ]==> ((((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) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 92503/8312025. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 92504/8312034. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 92505/8312061. ------ 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)(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. ------ 92506/8312088. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 92507/8312286. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (a b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c (a b))) 3. ==[ beta ]==> (((a b) a)(c (a b))) REDUCED to normal form. ------ 92508/8312313. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(b (a a))) REDUCED to normal form. ------ 92509/8312340. ------ 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. ------ 92510/8312367. ------ 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. ------ 92511/8312601. ------ 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)(^x.x)) b)(a a)) REDUCED to normal form. ------ 92512/8312646. ------ 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. ------ 92513/8312673. ------ 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))(^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. ------ 92514/8312709. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.z))) 11. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 12. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 92515/8312727. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((a b)(a b))(a (^y.a))) 6. ==[ alpha ]==> (((a b)(a b))(a (^x.a))) REDUCED to normal form. ------ 92516/8312736. ------ 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. ------ 92517/8312790. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 92518/8312808. ------ 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. ------ 92519/8312817. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 92520/8312844. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.b)(^a.(^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. ------ 92521/8312988. ------ 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. ------ 92522/8313015. ------ 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. ------ 92523/8313042. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(a a))) 5. ==[ beta ]==> (((a a) a)((a b)(a a))) REDUCED to normal form. ------ 92524/8313069. ------ 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) 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. ------ 92525/8313096. ------ 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. ------ 92526/8313123. ------ 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 (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 92527/8313150. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 92528/8313195. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b (^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92529/8313204. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(a b))) REDUCED to normal form. ------ 92530/8313294. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(^a.a))(^b.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. ------ 92531/8313375. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 92532/8313492. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a))(^b.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. ------ 92533/8313519. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.(y1 y1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 92534/8313600. ------ 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. ------ 92535/8313672. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 92536/8313735. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 92537/8313789. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.b))) REDUCED to normal form. ------ 92538/8313807. ------ 1. ==[ start ]==> ((a (^b.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 92539/8314086. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^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. ------ 92540/8314095. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b (^z.z))) REDUCED to normal form. ------ 92541/8314122. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a ((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a ((a a) a))) 3. ==[ beta ]==> ((a b)(a ((a a) a))) REDUCED to normal form. ------ 92542/8314131. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) a)) 3. ==[ beta ]==> ((^y.y)((^z.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. ------ 92543/8314158. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2)) b)) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2)) 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. ------ 92544/8314293. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 92545/8314401. ------ 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.(^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. ------ 92546/8314410. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 92547/8314437. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(^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. ------ 92548/8314455. ------ 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. ------ 92549/8314464. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 92550/8314491. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 92551/8314617. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 92552/8314626. ------ 1. ==[ start ]==> (((a b)(^c.a))(c (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.a))) REDUCED to normal form. ------ 92553/8314653. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 92554/8314680. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 92555/8314725. ------ 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)(^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. ------ 92556/8314734. ------ 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) REDUCED to normal form. ------ 92557/8314761. ------ 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. ------ 92558/8314851. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c (a (^y.y)))) 3. ==[ beta ]==> ((a (b a))(c (a (^y.y)))) 4. ==[ alpha ]==> ((a (b a))(c (a (^x.x)))) REDUCED to normal form. ------ 92559/8314878. ------ 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. ------ 92560/8314905. ------ 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. ------ 92561/8314932. ------ 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. ------ 92562/8314959. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 92563/8314986. ------ 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) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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)(^x.x))((a a) a)) REDUCED to normal form. ------ 92564/8315067. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b c)) REDUCED to normal form. ------ 92565/8315157. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 92566/8315292. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((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. ------ 92567/8315400. ------ 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. ------ 92568/8315436. ------ 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))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 92569/8315463. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)(^y.y))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 92570/8315481. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a) 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. ------ 92571/8315507. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92572/8315508. ------ 1. ==[ start ]==> (a ((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 92573/8315538. ------ 1. ==[ start ]==> ((^a.(a a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((a a)(a a)))) 3. ==[ beta ]==> ((^y.((a a)(a a)))(^y.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.((a a)(a a)))(^y.((a a)(a a)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 92574/8316888. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.z))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^y.(^z.z))) 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. ------ 92575/8321181. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 92576/8322570. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b)) a) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b)) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 92577/8322576. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((^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. ------ 92578/8322603. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((^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)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)((a a)(a a)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 92579/8322606. ------ 1. ==[ start ]==> ((a (a a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a (a a))(^x.((a a)(a a)))) REDUCED to normal form. ------ 92580/8322630. ------ 1. ==[ start ]==> ((^a.b)((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 92581/8322900. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ eta ]==> ((^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. ------ 92582/8323071. ------ 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. ------ 92583/8323521. ------ 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.z1)(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. ------ 92584/8323623. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^b.b))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 92585/8323953. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(^b.b))) 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 ]==> (((^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. ------ 92586/8323956. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(^b.b))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 92587/8324466. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(a b)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(a b)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 92588/8324853. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (b a))) 3. ==[ beta ]==> (^y.((b (b a))(b (b a)))) 4. ==[ alpha ]==> (^x.((b (b a))(b (b a)))) REDUCED to normal form. ------ 92589/8324874. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 92590/8325153. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(b a))) 5. ==[ beta ]==> ((^y.y)(^y1.(b a))) 6. ==[ alpha ]==> ((^x.x)(^y.(b a))) 7. ==[ beta ]==> (^y.(b a)) 8. ==[ alpha ]==> (^x.(b a)) REDUCED to normal form. ------ 92591/8325432. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 92592/8326467. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 92593/8326917. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 92594/8327142. ------ 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. ------ 92595/8327328. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b (^x1.b))) 3. ==[ beta ]==> ((b (^x1.b))(^y.(^z.z))) 4. ==[ alpha ]==> ((b (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 92596/8328087. ------ 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. ------ 92597/8328246. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 92598/8328249. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.a))) 4. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 92599/8328258. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 92600/8328537. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 92601/8328924. ------ 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)))) REDUCED to normal form. ------ 92602/8329032. ------ 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.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(z z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(z z)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 92603/8329140. ------ 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. ------ 92604/8329221. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.((^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))(^x.a)) REDUCED to normal form. ------ 92605/8329245. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((^y.a)(^z.z))((^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))((^x2.a)(^y2.y2)))) 5. ==[ beta ]==> ((a ((^z.a)(^x1.x1)))(((^y1.a)(^z1.z1))((^x2.a)(^y2.y2)))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.y)))(((^z.a)(^x1.x1))((^y1.a)(^z1.z1)))) 7. ==[ beta ]==> ((a a)(((^z.a)(^x1.x1))((^y1.a)(^z1.z1)))) 8. ==[ alpha ]==> ((a a)(((^x.a)(^y.y))((^z.a)(^x1.x1)))) 9. ==[ beta ]==> ((a a)(a ((^z.a)(^x1.x1)))) 10. ==[ alpha ]==> ((a a)(a ((^x.a)(^y.y)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 92606/8329527. ------ 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))(^y1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92607/8329563. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.z))) 3. ==[ beta ]==> ((b b)(^y.(^z.z))) 4. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 92608/8329608. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^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. ------ 92609/8329635. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 92610/8329647. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 92611/8329674. ------ 1. ==[ start ]==> ((a (a a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.x)((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 92612/8329692. ------ 1. ==[ start ]==> (((a a) a)(((a a)(a a)) a)) REDUCED to normal form. ------ 92613/8329701. ------ 1. ==[ start ]==> ((a b)((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 92614/8329719. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b) b)) 3. ==[ beta ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 92615/8329746. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.(^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)) REDUCED to normal form. ------ 92616/8329755. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 92617/8329917. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(^c.(^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. ------ 92618/8329971. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 92619/8329980. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.a)(c (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.a)(c (a (^y.(^z.z))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 92620/8330007. ------ 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)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 92621/8330061. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b)(a a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(a a))) 5. ==[ beta ]==> (a (((^y.y) b)(a a))) 6. ==[ alpha ]==> (a (((^x.x) b)(a a))) 7. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 92622/8330070. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.b) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y) b)) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 92623/8330088. ------ 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 (^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. ------ 92624/8330142. ------ 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. ------ 92625/8330250. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(a a)))(((^y.y)(^z.z))((^x1.x1)(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. ------ 92626/8330277. ------ 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. ------ 92627/8330331. ------ 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 ]==> (((^y.y)(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.(^y1.y1))))) 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. ------ 92628/8330358. ------ 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. ------ 92629/8330394. ------ 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. ------ 92630/8330421. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 92631/8330448. ------ 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. ------ 92632/8330511. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 92633/8330538. ------ 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. ------ 92634/8330556. ------ 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 b)(((a a) a)(^y.b))) 4. ==[ alpha ]==> ((b b)(((a a) a)(^x.b))) REDUCED to normal form. ------ 92635/8330592. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 92636/8330691. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(^b.b))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.x))) REDUCED to normal form. ------ 92637/8330718. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) b) a)) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) 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)) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 92638/8330745. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 92639/8330772. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a) c)) REDUCED to normal form. ------ 92640/8330916. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))(^x1.(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. ------ 92641/8330997. ------ 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))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 92642/8331024. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.y))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 92643/8331060. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(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. ------ 92644/8331114. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (a (((a a)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (a (((a a)(^x.x))((^y.y) a))) 7. ==[ beta ]==> (a (((a a)(^x.x)) a)) REDUCED to normal form. ------ 92645/8331195. ------ 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. ------ 92646/8331222. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(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. ------ 92647/8331276. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)(((^y.y) a)((a a)(^z.z)))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)((a a)(^y.y)))) 9. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 10. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 92648/8331375. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.(^z.z)))(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. ------ 92649/8331456. ------ 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. ------ 92650/8331483. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 92651/8331528. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 92652/8331537. ------ 1. ==[ start ]==> ((a (a b))((^b.(^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. ------ 92653/8331690. ------ 1. ==[ start ]==> ((((a a) a) b)((b a) b)) REDUCED to normal form. ------ 92654/8331717. ------ 1. ==[ start ]==> (((a b) a)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b) a)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 92655/8331897. ------ 1. ==[ start ]==> (((^a.b)(a a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 92656/8331924. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (b a))) REDUCED to normal form. ------ 92657/8331942. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(^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. ------ 92658/8332140. ------ 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. ------ 92659/8332167. ------ 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.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. ------ 92660/8332221. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(b a))) 5. ==[ beta ]==> ((^y.y)((a a)(b a))) 6. ==[ alpha ]==> ((^x.x)((a a)(b a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 92661/8332311. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a b) b)((a a)(^y.a))) 4. ==[ alpha ]==> (((a b) b)((a a)(^x.a))) REDUCED to normal form. ------ 92662/8332338. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a 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. ------ 92663/8332365. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 92664/8332392. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.a)) REDUCED to normal form. ------ 92665/8332446. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 92666/8332527. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 92667/8332554. ------ 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)) REDUCED to normal form. ------ 92668/8332590. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(a a))(^b.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. ------ 92669/8332617. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 92670/8332671. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^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. ------ 92671/8332698. ------ 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))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (a 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. ------ 92672/8332725. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 92673/8332752. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^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. ------ 92674/8332842. ------ 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 (^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. ------ 92675/8332977. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 92676/8333094. ------ 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.(^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. ------ 92677/8333121. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b)(^b.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. ------ 92678/8333175. ------ 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.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92679/8333229. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 92680/8333256. ------ 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.(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. ------ 92681/8333346. ------ 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))(^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. ------ 92682/8333373. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b)(^b.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. ------ 92683/8333427. ------ 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.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 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. ------ 92684/8333481. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.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. ------ 92685/8333508. ------ 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.(^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. ------ 92686/8333652. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))(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. ------ 92687/8333733. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((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. ------ 92688/8333796. ------ 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)(^x.x)) b)((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.y))) REDUCED to normal form. ------ 92689/8333904. ------ 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.(^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. ------ 92690/8333931. ------ 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. ------ 92691/8333985. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 92692/8334012. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 92693/8334039. ------ 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. ------ 92694/8334129. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(b a))(^y.y)) 6. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 92695/8334156. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 92696/8334183. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^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. ------ 92697/8334210. ------ 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. ------ 92698/8334399. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.b))) REDUCED to normal form. ------ 92699/8334408. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(a b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(a b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92700/8334786. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b ((a a) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b ((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b ((a a) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b ((a a) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b ((a a) a))) 7. ==[ beta ]==> (((a a)(a a))(b ((a a) a))) REDUCED to normal form. ------ 92701/8334822. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.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. ------ 92702/8334867. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(a (^z1.z1)))) 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. ------ 92703/8334876. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 92704/8334975. ------ 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) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92705/8335047. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^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. ------ 92706/8335074. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(a ((^z.z) a))) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y) a))) 9. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 92707/8335101. ------ 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. ------ 92708/8335128. ------ 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)(^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. ------ 92709/8335155. ------ 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. ------ 92710/8335182. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 92711/8335209. ------ 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. ------ 92712/8335236. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)(^z.a))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.a))) 7. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 92713/8335290. ------ 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.(^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. ------ 92714/8335317. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 92715/8335326. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 92716/8335353. ------ 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)(^x2.x2))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(^x2.x2))(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. ------ 92717/8335605. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 92718/8335632. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((b a)(((^x.x)(^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. ------ 92719/8335659. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a)) b)) REDUCED to normal form. ------ 92720/8335731. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b (a (a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b (a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 92721/8335767. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(^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. ------ 92722/8335794. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.b))(b b)) REDUCED to normal form. ------ 92723/8335812. ------ 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. ------ 92724/8335821. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) c)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 92725/8335929. ------ 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)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 92726/8335956. ------ 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. ------ 92727/8335992. ------ 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. ------ 92728/8336019. ------ 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))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(^y1.y1))) 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. ------ 92729/8336046. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b 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)))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 92730/8336073. ------ 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. ------ 92731/8336100. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.(x1 x1)))) 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)))) 9. ==[ beta ]==> ((a a)(^y.(y y))) 10. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 92732/8336154. ------ 1. ==[ start ]==> (((a b)((a a) a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 92733/8336181. ------ 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)(^y.y))(b (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 92734/8336208. ------ 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. ------ 92735/8336262. ------ 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 (^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. ------ 92736/8336289. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(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))((^y.y) a)) 6. ==[ alpha ]==> ((b (a a))((^x.x) a)) 7. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 92737/8336316. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a)(^y.y))) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 92738/8336352. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 92739/8336487. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 92740/8336595. ------ 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))((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. ------ 92741/8336631. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 92742/8336658. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a) a)) REDUCED to normal form. ------ 92743/8336676. ------ 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. ------ 92744/8336703. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 92745/8336711. ------ 1. ==[ start ]==> (^a.((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (^x.((x (^y.y))(^z.z))) REDUCED to normal form. ------ 92746/8336712. ------ 1. ==[ start ]==> (a ((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (a ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 92747/8338425. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 92748/8342070. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92749/8343774. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b)) b) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b)) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 92750/8343783. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b)) a) 2. ==[ alpha ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 92751/8343789. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(^b.b))) 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. ------ 92752/8343798. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92753/8343828. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.((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))) REDUCED to normal form. ------ 92754/8343843. ------ 1. ==[ start ]==> ((^a.b)(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.b)(((a a)(a a)) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 92755/8343879. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92756/8344041. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(^b.(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. ------ 92757/8344188. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.((y y)(y y)))) 3. ==[ beta ]==> ((a a)(^y.((y y)(y y)))) 4. ==[ alpha ]==> ((a a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 92758/8344734. ------ 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))(^z1.(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. ------ 92759/8345499. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 92760/8345502. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 92761/8345679. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.b)) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b)) b) 5. ==[ beta ]==> (((^y.y)(^z.b)) b) 6. ==[ alpha ]==> (((^x.x)(^y.b)) b) 7. ==[ beta ]==> ((^y.b) b) 8. ==[ alpha ]==> ((^x.b) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 92762/8346663. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(z a))) 3. ==[ beta ]==> (b (^z.(z a))) 4. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 92763/8347704. ------ 1. ==[ start ]==> ((^a.(b a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z)) a)) 3. ==[ eta ]==> (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. ------ 92764/8348148. ------ 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. ------ 92765/8348253. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 92766/8348967. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(x1 b))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(x1 b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(z b))) 5. ==[ beta ]==> ((^y.b)(^z.(z b))) 6. ==[ alpha ]==> ((^x.b)(^y.(y b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 92767/8349144. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92768/8349147. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 92769/8349471. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 92770/8349633. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(^c.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. ------ 92771/8349912. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.((^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. ------ 92772/8350137. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 92773/8350434. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.a))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.a))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.a))) REDUCED to normal form. ------ 92774/8350458. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y) a) a)) 3. ==[ beta ]==> (((((^y.y) a) a)(((^y.y) a) a))((((^y.y) a) a)(((^y.y) a) a))) 4. ==[ alpha ]==> (((((^x.x) a) a)(((^y.y) a) a))((((^z.z) a) a)(((^x1.x1) a) a))) 5. ==[ beta ]==> (((a a)(((^y.y) a) a))((((^z.z) a) a)(((^x1.x1) a) a))) 6. ==[ alpha ]==> (((a a)(((^x.x) a) a))((((^y.y) a) a)(((^z.z) a) a))) 7. ==[ beta ]==> (((a a)(a a))((((^y.y) a) a)(((^z.z) a) a))) 8. ==[ alpha ]==> (((a a)(a a))((((^x.x) a) a)(((^y.y) a) a))) 9. ==[ beta ]==> (((a a)(a a))((a a)(((^y.y) a) a))) 10. ==[ alpha ]==> (((a a)(a a))((a a)(((^x.x) a) a))) 11. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 92775/8350803. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.b)) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.b)) REDUCED to normal form. ------ 92776/8350821. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.(^a.a))) 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. ------ 92777/8350848. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 92778/8350857. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 92779/8350869. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 92780/8350878. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 92781/8350905. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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. ------ 92782/8350923. ------ 1. ==[ start ]==> ((a b)(((a a)(a a)) a)) REDUCED to normal form. ------ 92783/8350959. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 92784/8351067. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 92785/8351094. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 92786/8351121. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 92787/8351202. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 92788/8351229. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 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. ------ 92789/8351238. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b ((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x)) b)(b b)) REDUCED to normal form. ------ 92790/8351265. ------ 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. ------ 92791/8351292. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a a)(^x.a))(b (a a))) REDUCED to normal form. ------ 92792/8351319. ------ 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 (^z1.z1)))) REDUCED to normal form. ------ 92793/8351346. ------ 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 (^x.x))((b a) a)) REDUCED to normal form. ------ 92794/8351454. ------ 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. ------ 92795/8351535. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(b a))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(b a))) 5. ==[ beta ]==> ((a b)(a (b a))) REDUCED to normal form. ------ 92796/8351562. ------ 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. ------ 92797/8351580. ------ 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. ------ 92798/8351589. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a) b)) REDUCED to normal form. ------ 92799/8351661. ------ 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 (^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. ------ 92800/8351706. ------ 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. ------ 92801/8351733. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a 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. ------ 92802/8351760. ------ 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. ------ 92803/8351787. ------ 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. ------ 92804/8351814. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(a a))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 92805/8351823. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 92806/8351850. ------ 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 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. ------ 92807/8351904. ------ 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 (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 92808/8351958. ------ 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)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92809/8351985. ------ 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.(^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. ------ 92810/8352372. ------ 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. ------ 92811/8352399. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a b)((^x.x)(^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. ------ 92812/8352453. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 92813/8352480. ------ 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. ------ 92814/8352507. ------ 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)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 92815/8352534. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 92816/8352561. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 92817/8352579. ------ 1. ==[ start ]==> ((a (^a.b))(a (^b.b))) 2. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 92818/8352597. ------ 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))) REDUCED to normal form. ------ 92819/8352624. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 92820/8352651. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a)(^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))) REDUCED to normal form. ------ 92821/8352678. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a 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. ------ 92822/8352705. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 92823/8352759. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.b))) 5. ==[ beta ]==> ((a (a b))(^y.b)) 6. ==[ alpha ]==> ((a (a b))(^x.b)) REDUCED to normal form. ------ 92824/8352768. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 92825/8352849. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(b a))) IRREDUCIBLE: cycle. ------ 92826/8352957. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 92827/8352984. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(x1 x1)))) 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. ------ 92828/8353119. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 92829/8353128. ------ 1. ==[ start ]==> (((a b)(^a.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 92830/8353191. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.(^x1.x1))) 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. ------ 92831/8353317. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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)))) 5. ==[ beta ]==> (b (((a a) a)(^y.y))) 6. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 92832/8353524. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 92833/8353578. ------ 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. ------ 92834/8353605. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 92835/8353659. ------ 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 x1))(a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(a b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(a b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a b))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(a b))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 11. ==[ beta ]==> ((^y.(y y))(a b)) 12. ==[ alpha ]==> ((^x.(x x))(a b)) 13. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 92836/8353740. ------ 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. ------ 92837/8353965. ------ 1. ==[ start ]==> (((^a.b) c)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(c ((^y.y)(a a)))) 3. ==[ beta ]==> (b (c ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 92838/8354208. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a b) c)(a (a b))) REDUCED to normal form. ------ 92839/8354235. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) b)((a (^x.x))(a a))) REDUCED to normal form. ------ 92840/8354262. ------ 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. ------ 92841/8354361. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 92842/8354442. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 92843/8354541. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 92844/8354568. ------ 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)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a) b)) REDUCED to normal form. ------ 92845/8354595. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a b) c)) 3. ==[ beta ]==> ((a (a b))((a b) c)) REDUCED to normal form. ------ 92846/8354784. ------ 1. ==[ start ]==> ((a (b a))((^c.(^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. ------ 92847/8354955. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (^z.b))) 3. ==[ beta ]==> (b (c (^z.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 92848/8355063. ------ 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. ------ 92849/8355144. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a b)(a b))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a b)(a b))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.z))) 10. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.y))) 11. ==[ beta ]==> (((a b)(a b))(^y.y)) 12. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 92850/8355225. ------ 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. ------ 92851/8355333. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 92852/8355459. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(a a)) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a)) a)) 5. ==[ beta ]==> (((a a) a)((^y.(a a)) a)) 6. ==[ alpha ]==> (((a a) a)((^x.(a a)) a)) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 92853/8355486. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.b) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.b) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b) b)) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 92854/8355513. ------ 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. ------ 92855/8355612. ------ 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))((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. ------ 92856/8355630. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (^y1.b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92857/8355711. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.a)(a (^y.y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 92858/8355792. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.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. ------ 92859/8355927. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^a.a))(^b.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. ------ 92860/8355954. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(x1 x1)))) 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. ------ 92861/8356017. ------ 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. ------ 92862/8356044. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (a b))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (a b))) 5. ==[ beta ]==> ((^y.b)(a (a b))) 6. ==[ alpha ]==> ((^x.b)(a (a b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 92863/8356098. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 92864/8356125. ------ 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) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 92865/8356152. ------ 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 (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (a (a a)))) REDUCED to normal form. ------ 92866/8356197. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 92867/8356206. ------ 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))) REDUCED to normal form. ------ 92868/8356224. ------ 1. ==[ start ]==> ((a (^b.b))(a (^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 92869/8356242. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a) a)(^z.z))) REDUCED to normal form. ------ 92870/8356269. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(^a.a))(^a.(^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. ------ 92871/8356296. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 92872/8356323. ------ 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. ------ 92873/8356350. ------ 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.(^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. ------ 92874/8356404. ------ 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)(^y.y))(((a a) a) a)) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 92875/8356431. ------ 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. ------ 92876/8356503. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 92877/8356548. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 92878/8356710. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (^c.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. ------ 92879/8356818. ------ 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.(^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. ------ 92880/8356872. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(^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. ------ 92881/8356899. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 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. ------ 92882/8356953. ------ 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.(^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. ------ 92883/8356989. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 92884/8357016. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a))(a a))) REDUCED to normal form. ------ 92885/8357043. ------ 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. ------ 92886/8357070. ------ 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 (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 92887/8357097. ------ 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 (a a)))) REDUCED to normal form. ------ 92888/8357142. ------ 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))(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. ------ 92889/8357178. ------ 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. ------ 92890/8357214. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a)(^y.(y y)))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 92891/8357241. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (a a)) a)) REDUCED to normal form. ------ 92892/8357268. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^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. ------ 92893/8357349. ------ 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. ------ 92894/8357376. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a) b)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a) b)) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 92895/8357484. ------ 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))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 92896/8357511. ------ 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. ------ 92897/8357538. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x) a) a)) 3. ==[ beta ]==> ((a ((a a)(a a)))(a a)) REDUCED to normal form. ------ 92898/8357574. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 92899/8357709. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 92900/8357817. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(b (^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92901/8357853. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b a)) 2. ==[ alpha ]==> ((((^x.x) b) b)(b a)) 3. ==[ beta ]==> ((b b)(b a)) REDUCED to normal form. ------ 92902/8357880. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a b)) REDUCED to normal form. ------ 92903/8357898. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)(^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. ------ 92904/8357925. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(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. ------ 92905/8357934. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 92906/8361105. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(b z))) 3. ==[ eta ]==> ((^x.((x x)(^y.y))) b) 4. ==[ beta ]==> ((b b)(^y.y)) 5. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 92907/8361861. ------ 1. ==[ start ]==> ((^a.(b a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.((y y)(^z.z)))) 3. ==[ eta ]==> (b (^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 92908/8365005. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b)) c) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b)) c) 3. ==[ beta ]==> ((^y.y) c) 4. ==[ alpha ]==> ((^x.x) c) 5. ==[ beta ]==> c REDUCED to normal form. ------ 92909/8365014. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b)) b) 2. ==[ alpha ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 92910/8365038. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92911/8365077. ------ 1. ==[ start ]==> (((a a) a)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a a) a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 92912/8365119. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 92913/8365428. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 92914/8365623. ------ 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. ------ 92915/8365779. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 92916/8365848. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b a)(^b.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. ------ 92917/8366103. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(^y.y)) 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. ------ 92918/8366406. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (a (^a.(^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. ------ 92919/8367354. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 92920/8367513. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))((a a) a))(((^z.z)(^x1.x1))((a a) a)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))((a a) a))(((^x1.x1)(^y1.y1))((a a) a)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((a a) a))(((^x1.x1)(^y1.y1))((a a) a))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))((a a) a))) 7. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))((a a) a))) 8. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))((a a) a))) 9. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((a a) a))) 10. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((a a) a))) 11. ==[ beta ]==> (((a a) a)((^y.y)((a a) a))) 12. ==[ alpha ]==> (((a a) a)((^x.x)((a a) a))) 13. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 92921/8367903. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 92922/8367912. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z a))) REDUCED to normal form. ------ 92923/8368188. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a (b a))) 3. ==[ beta ]==> (((a (b a))(a (b a)))(^y.y)) 4. ==[ alpha ]==> (((a (b a))(a (b a)))(^x.x)) REDUCED to normal form. ------ 92924/8368191. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(b y))) 3. ==[ eta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 92925/8368944. ------ 1. ==[ start ]==> ((^a.(b a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(a ((a a)(^y.y)))) 3. ==[ eta ]==> (b (a ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 92926/8368947. ------ 1. ==[ start ]==> ((a (b a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 92927/8369181. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 92928/8369388. ------ 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. ------ 92929/8369397. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 92930/8369622. ------ 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.x1)(z z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.((^z.z)(y y)))) 6. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(x x)))) 7. ==[ beta ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 92931/8369781. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x1.x1))((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 92932/8370207. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 92933/8370699. ------ 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) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 92934/8371017. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.((^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)(^x.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 92935/8371152. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(^b.(^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. ------ 92936/8371512. ------ 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. ------ 92937/8372016. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 92938/8372043. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(a a))) REDUCED to normal form. ------ 92939/8372088. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 92940/8372097. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 92941/8372127. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 92942/8372136. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))((^a.a) 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 (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 92943/8372163. ------ 1. ==[ start ]==> (((a a) a)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.x)((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 92944/8372181. ------ 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. ------ 92945/8372208. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 92946/8372217. ------ 1. ==[ start ]==> (((^a.a) b)((^b.b)(^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)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 92947/8372244. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 92948/8372325. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a))(^c.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. ------ 92949/8372352. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 92950/8372406. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 92951/8372487. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 92952/8372559. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 92953/8372631. ------ 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. ------ 92954/8372658. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 92955/8372685. ------ 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. ------ 92956/8372712. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a) a)(a b))) REDUCED to normal form. ------ 92957/8372838. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 92958/8372865. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.(a a)))) REDUCED to normal form. ------ 92959/8372892. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 92960/8372910. ------ 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.(^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. ------ 92961/8372919. ------ 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. ------ 92962/8372937. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 92963/8373027. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)((a a) a))) 3. ==[ beta ]==> ((b b)((^y.b)((a a) a))) 4. ==[ alpha ]==> ((b b)((^x.b)((a a) a))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 92964/8373072. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 92965/8373153. ------ 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))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 92966/8373162. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 92967/8373189. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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 ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 92968/8373207. ------ 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. ------ 92969/8373216. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 92970/8373234. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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) REDUCED to normal form. ------ 92971/8373243. ------ 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.(^x2.x2)))) 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. ------ 92972/8373324. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 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 a) REDUCED to normal form. ------ 92973/8373495. ------ 1. ==[ start ]==> ((a ((a a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 92974/8373531. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) a)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) 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. ------ 92975/8373810. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 92976/8373999. ------ 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) REDUCED to normal form. ------ 92977/8374017. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 92978/8374161. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 92979/8374179. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((b a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((b a) b)) 3. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 92980/8374206. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a)(^y.y)) c)) 3. ==[ beta ]==> ((a b)(((a a)(^y.y)) c)) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 92981/8374215. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 92982/8374269. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 92983/8374323. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 92984/8374350. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 92985/8374377. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 92986/8374413. ------ 1. ==[ start ]==> (((a a)(a b))(b (b a))) REDUCED to normal form. ------ 92987/8374440. ------ 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. ------ 92988/8374467. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((b a)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((b a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a)(a a))) 5. ==[ beta ]==> ((a (^y.y))((b a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(a a))) REDUCED to normal form. ------ 92989/8374494. ------ 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 (^y.y)))) REDUCED to normal form. ------ 92990/8374521. ------ 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 a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> (a (((^y.y)(a a))((^z.z) a))) 8. ==[ alpha ]==> (a (((^x.x)(a a))((^y.y) a))) 9. ==[ beta ]==> (a ((a a)((^y.y) a))) 10. ==[ alpha ]==> (a ((a a)((^x.x) a))) 11. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 92991/8374548. ------ 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. ------ 92992/8374575. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((a a) a)((^x.x)(^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. ------ 92993/8374602. ------ 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))((a a) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^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. ------ 92994/8374773. ------ 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.(^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. ------ 92995/8374782. ------ 1. ==[ start ]==> (((a b) b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 92996/8374809. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 92997/8374827. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(^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. ------ 92998/8374836. ------ 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. ------ 92999/8374854. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)(^b.(^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. ------ 93000/8374863. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 93001/8374908. ------ 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. ------ 93002/8374917. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 93003/8374944. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)((^z.z)(a a)))) 7. ==[ beta ]==> (((^y.a)((^z.z)(a a)))((^y.a)((^z.z)(a a)))) 8. ==[ alpha ]==> (((^x.a)((^y.y)(a a)))((^z.a)((^x1.x1)(a a)))) 9. ==[ beta ]==> (a ((^z.a)((^x1.x1)(a a)))) 10. ==[ alpha ]==> (a ((^x.a)((^y.y)(a a)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 93004/8374971. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 93005/8374998. ------ 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. ------ 93006/8375214. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 93007/8375223. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(c (a a))) REDUCED to normal form. ------ 93008/8375250. ------ 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. ------ 93009/8375277. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (b a))) REDUCED to normal form. ------ 93010/8375313. ------ 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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93011/8375457. ------ 1. ==[ start ]==> (((a b) c)(d (^a.b))) 2. ==[ alpha ]==> (((a b) c)(d (^x.b))) REDUCED to normal form. ------ 93012/8375484. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (^y.(a a)))) 3. ==[ beta ]==> (((a a) b)(c (^y.(a a)))) 4. ==[ alpha ]==> (((a a) b)(c (^x.(a a)))) REDUCED to normal form. ------ 93013/8375511. ------ 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. ------ 93014/8375556. ------ 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.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.y1))) 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. ------ 93015/8375565. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(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. ------ 93016/8375592. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 93017/8375610. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b)(^b.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. ------ 93018/8375646. ------ 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. ------ 93019/8375673. ------ 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)(^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. ------ 93020/8375691. ------ 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. ------ 93021/8375700. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 93022/8375727. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 93023/8375754. ------ 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.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. ------ 93024/8376006. ------ 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)(^x.x))(a a))(b (a a))) REDUCED to normal form. ------ 93025/8376033. ------ 1. ==[ start ]==> ((a (b a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 93026/8376123. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a) d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a) d)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a) d)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a) d)) 5. ==[ beta ]==> (b ((^z.a) d)) 6. ==[ alpha ]==> (b ((^x.a) d)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 93027/8376267. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 93028/8376312. ------ 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. ------ 93029/8376339. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 93030/8376375. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 93031/8376393. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))(^b.(^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. ------ 93032/8376402. ------ 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. ------ 93033/8376456. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^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. ------ 93034/8376474. ------ 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. ------ 93035/8376483. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 93036/8376510. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.z))) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 93037/8376537. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 93038/8376681. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (a b))) REDUCED to normal form. ------ 93039/8376708. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a ((^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. ------ 93040/8376735. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a b)(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a b)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(a a))) REDUCED to normal form. ------ 93041/8376762. ------ 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. ------ 93042/8376789. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a a) a)((^y.y)((^z.z) a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) a))) 9. ==[ beta ]==> (((a a) a)((^y.y) a)) 10. ==[ alpha ]==> (((a a) a)((^x.x) a)) 11. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 93043/8376816. ------ 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 a))(a (a a)))) REDUCED to normal form. ------ 93044/8376870. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 93045/8376960. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a) a)(^a.(^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. ------ 93046/8377041. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.(^z1.z1)))) 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. ------ 93047/8377149. ------ 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) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93048/8377185. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^a.a))(^b.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. ------ 93049/8377266. ------ 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. ------ 93050/8377293. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 93051/8377338. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 93052/8377455. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (^x1.a))) REDUCED to normal form. ------ 93053/8377752. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.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. ------ 93054/8377788. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a b)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a b)(b (^y.y))) 6. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 93055/8378067. ------ 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 (^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93056/8378076. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^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. ------ 93057/8378103. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) 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)((^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. ------ 93058/8378121. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x) b)(((^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. ------ 93059/8378130. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(^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. ------ 93060/8378148. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((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. ------ 93061/8378157. ------ 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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.(^x2.x2))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 93062/8378238. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a)(^b.(^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. ------ 93063/8378283. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(y y)) b)) 3. ==[ beta ]==> (b ((^y.(y y)) b)) 4. ==[ alpha ]==> (b ((^x.(x x)) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 93064/8378292. ------ 1. ==[ start ]==> (((a b)(^c.a))(d (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(d (^y.(^z.z)))) REDUCED to normal form. ------ 93065/8378319. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c (^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 93066/8378346. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (^z.(z z)))) REDUCED to normal form. ------ 93067/8378391. ------ 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. ------ 93068/8378400. ------ 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))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(a a))) REDUCED to normal form. ------ 93069/8378427. ------ 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. ------ 93070/8378571. ------ 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 ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b ((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))(b ((^z.z) a))) 6. ==[ alpha ]==> (((^x.x)(a a))(b ((^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. ------ 93071/8378598. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a (a (a a)))) REDUCED to normal form. ------ 93072/8378625. ------ 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. ------ 93073/8378652. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 93074/8378679. ------ 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. ------ 93075/8378760. ------ 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. ------ 93076/8378823. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 93077/8378958. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((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. ------ 93078/8379066. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^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. ------ 93079/8379102. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 93080/8379129. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)(a a))) 3. ==[ beta ]==> ((((a a)(a a)) a)(a a)) REDUCED to normal form. ------ 93081/8379147. ------ 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. ------ 93082/8379174. ------ 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)((^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. ------ 93083/8379183. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 93084/8379200. ------ 1. ==[ start ]==> (^a.((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((^y.x)(x (^z.(^x1.x1))))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 93085/8379201. ------ 1. ==[ start ]==> (a ((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (a ((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 93086/8379258. ------ 1. ==[ start ]==> ((^a.b)(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.((a a)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 93087/8380914. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 93088/8383119. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(^x1.x1)))) 3. ==[ eta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 93089/8384559. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93090/8385873. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((^y.((^z.z) a))(^y.((^z.z) a)))((^y.((^z.z) a))(^y.((^z.z) a)))) 4. ==[ alpha ]==> (((^x.((^y.y) a))(^z.((^x1.x1) a)))((^y1.((^z1.z1) a))(^x2.((^y2.y2) a)))) 5. ==[ beta ]==> (((^y.y) a)((^y1.((^z1.z1) a))(^x2.((^y2.y2) a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.((^z.z) a))(^x1.((^y1.y1) a)))) 7. ==[ beta ]==> (a ((^y.((^z.z) a))(^x1.((^y1.y1) a)))) 8. ==[ alpha ]==> (a ((^x.((^y.y) a))(^z.((^x1.x1) a)))) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 93091/8386272. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b)) c) 2. ==[ alpha ]==> (((a (^x.x))(^y.y)) c) REDUCED to normal form. ------ 93092/8386296. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 93093/8386323. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) b))((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))((^z1.z1) b))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) 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. ------ 93094/8386350. ------ 1. ==[ start ]==> ((^a.b)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)((a a)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 93095/8386353. ------ 1. ==[ start ]==> ((a b)(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 93096/8386431. ------ 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 ]==> (((^z.(^x1.(^y1.y1)))(^z1.a))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93097/8386713. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((z z)(z z)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((z z)(z z)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((y y)(y y)))) 5. ==[ beta ]==> (a (^y.((y y)(y y)))) 6. ==[ alpha ]==> (a (^x.((x x)(x x)))) REDUCED to normal form. ------ 93098/8386791. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b a)((^z.z) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 93099/8387673. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^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. ------ 93100/8387712. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) 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. ------ 93101/8388006. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 93102/8388009. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 93103/8388027. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 93104/8388186. ------ 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 b) REDUCED to normal form. ------ 93105/8388573. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.((c ((a a)(^z.z)))(c ((a a)(^z.z))))) 4. ==[ alpha ]==> (^x.((c ((a a)(^y.y)))(c ((a a)(^z.z))))) REDUCED to normal form. ------ 93106/8388621. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 93107/8389179. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 93108/8389971. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 93109/8390211. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(^c.(^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)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 93110/8390214. ------ 1. ==[ start ]==> ((a (b a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 93111/8390664. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 93112/8390889. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(^b.(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. ------ 93113/8391651. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93114/8391654. ------ 1. ==[ start ]==> ((a (^b.b))(^c.((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 93115/8391672. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.b))) REDUCED to normal form. ------ 93116/8391834. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 93117/8391966. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^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. ------ 93118/8392005. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.((z1 z1) z1))) 3. ==[ beta ]==> ((^y.y)(^z1.((z1 z1) z1))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 93119/8392140. ------ 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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 93120/8392284. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(^b.(^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. ------ 93121/8392671. ------ 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)))) REDUCED to normal form. ------ 93122/8392779. ------ 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. ------ 93123/8392965. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((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))((^y.y)((^z.z) a)))) 4. ==[ alpha ]==> ((((^x.x)((^y.y) a))((^z.z)((^x1.x1) a)))(((^y1.y1)((^z1.z1) a))((^x2.x2)((^y2.y2) a)))) 5. ==[ beta ]==> ((((^y.y) a)((^z.z)((^x1.x1) a)))(((^y1.y1)((^z1.z1) a))((^x2.x2)((^y2.y2) a)))) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y)((^z.z) a)))(((^x1.x1)((^y1.y1) a))((^z1.z1)((^x2.x2) a)))) 7. ==[ beta ]==> ((a ((^y.y)((^z.z) a)))(((^x1.x1)((^y1.y1) a))((^z1.z1)((^x2.x2) a)))) 8. ==[ alpha ]==> ((a ((^x.x)((^y.y) a)))(((^z.z)((^x1.x1) a))((^y1.y1)((^z1.z1) a)))) 9. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)((^x1.x1) a))((^y1.y1)((^z1.z1) a)))) 10. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)((^z.z) a))((^x1.x1)((^y1.y1) a)))) 11. ==[ beta ]==> ((a a)(((^y.y)((^z.z) a))((^x1.x1)((^y1.y1) a)))) 12. ==[ alpha ]==> ((a a)(((^x.x)((^y.y) a))((^z.z)((^x1.x1) a)))) 13. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)((^x1.x1) a)))) 14. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)((^z.z) a)))) 15. ==[ beta ]==> ((a a)(a ((^y.y)((^z.z) a)))) 16. ==[ alpha ]==> ((a a)(a ((^x.x)((^y.y) a)))) 17. ==[ beta ]==> ((a a)(a ((^y.y) a))) 18. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 19. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 93124/8392968. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.((^y.y) a))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^x.a)) REDUCED to normal form. ------ 93125/8393247. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(y1 (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93126/8393283. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.b)) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.y)) 3. ==[ beta ]==> ((b b)(^y.y)) 4. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 93127/8393328. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.b)) 3. ==[ beta ]==> (((a a)(a a))(^y.b)) 4. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 93128/8393355. ------ 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)(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 93129/8393364. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 93130/8393394. ------ 1. ==[ start ]==> ((a a)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 93131/8393412. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(^b.b))) 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. ------ 93132/8393421. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 93133/8393448. ------ 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. ------ 93134/8393466. ------ 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. ------ 93135/8393493. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x) 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. ------ 93136/8393502. ------ 1. ==[ start ]==> (((a a)(a a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(^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. ------ 93137/8393529. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 93138/8393691. ------ 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 (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 93139/8393808. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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. ------ 93140/8393817. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 93141/8393835. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^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. ------ 93142/8393844. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 93143/8393889. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((b a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((b a) a)) REDUCED to normal form. ------ 93144/8393997. ------ 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. ------ 93145/8394024. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 93146/8394078. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(b a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) 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. ------ 93147/8394105. ------ 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. ------ 93148/8394132. ------ 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 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. ------ 93149/8394168. ------ 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. ------ 93150/8394195. ------ 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. ------ 93151/8394285. ------ 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. ------ 93152/8394303. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)(^y.a))) 3. ==[ beta ]==> ((b b)((a b)(^y.a))) 4. ==[ alpha ]==> ((b b)((a b)(^x.a))) REDUCED to normal form. ------ 93153/8394312. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 93154/8394438. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 93155/8394465. ------ 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. ------ 93156/8394492. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 93157/8394519. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 93158/8394546. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b a) c)) 3. ==[ beta ]==> ((a (^y.a))((b a) c)) 4. ==[ alpha ]==> ((a (^x.a))((b a) c)) REDUCED to normal form. ------ 93159/8394636. ------ 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)(^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. ------ 93160/8394690. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 93161/8394771. ------ 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))))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 93162/8394807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(a ((^y1.y1) 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. ------ 93163/8394861. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b a)(a (^z.z)))) 5. ==[ beta ]==> (a ((b a)(a (^z.z)))) 6. ==[ alpha ]==> (a ((b a)(a (^x.x)))) REDUCED to normal form. ------ 93164/8394897. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) d)) 5. ==[ beta ]==> (b ((^y.(^z.z)) d)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 93165/8394942. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) 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)))) 5. ==[ beta ]==> (((a a) a)((a b)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a b)(^x.x))) REDUCED to normal form. ------ 93166/8394969. ------ 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. ------ 93167/8395023. ------ 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. ------ 93168/8395104. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 93169/8395122. ------ 1. ==[ start ]==> (((a a)((a a) a))(a (^b.b))) 2. ==[ alpha ]==> (((a a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 93170/8395149. ------ 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.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(a 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. ------ 93171/8395230. ------ 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. ------ 93172/8395257. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 93173/8395275. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 93174/8395284. ------ 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) REDUCED to normal form. ------ 93175/8395437. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 93176/8395464. ------ 1. ==[ start ]==> (((a b) a)((b a) b)) REDUCED to normal form. ------ 93177/8395491. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 93178/8395671. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 93179/8395716. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 93180/8395887. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 93181/8395914. ------ 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. ------ 93182/8395968. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 93183/8396058. ------ 1. ==[ start ]==> (((a b) b)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 93184/8396085. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.a))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.a))) REDUCED to normal form. ------ 93185/8396112. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 93186/8396139. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 93187/8396193. ------ 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. ------ 93188/8396220. ------ 1. ==[ start ]==> ((((^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)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> ((((^y.y) a)(^z.(a a)))(((^y.y) a)(^z.(a a)))) 8. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.(a a)))) 9. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(^x1.(a a)))) 10. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.(a a)))) 11. ==[ beta ]==> ((a (^x.(a a)))(a (^z.(a a)))) 12. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 93189/8396247. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 93190/8396301. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((b a) a)) 3. ==[ beta ]==> (((a a)(^y.y))((b a) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((b a) a)) REDUCED to normal form. ------ 93191/8396364. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 93192/8396391. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 93193/8396445. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (a 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. ------ 93194/8396472. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((((a a) a) a)((^y.b)(^y.b))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.b))) 7. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 93195/8396499. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 93196/8396589. ------ 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.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)) REDUCED to normal form. ------ 93197/8396724. ------ 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. ------ 93198/8396805. ------ 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)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 93199/8396841. ------ 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.z))(^x1.x1))) REDUCED to normal form. ------ 93200/8396868. ------ 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.(^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. ------ 93201/8396922. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93202/8396949. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 93203/8396976. ------ 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. ------ 93204/8397003. ------ 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) 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. ------ 93205/8397030. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 93206/8397066. ------ 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)(^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 93207/8397120. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(a a))(^a.(^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. ------ 93208/8397147. ------ 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. ------ 93209/8397201. ------ 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. ------ 93210/8397228. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 93211/8397255. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.b))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 93212/8397282. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^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. ------ 93213/8397309. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(^c.(^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. ------ 93214/8397399. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (b (((a a) a)((^z.z) a))) 6. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 7. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 93215/8397480. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 93216/8397651. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.(a a)))(^z.(z z))) 8. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 93217/8397678. ------ 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. ------ 93218/8397732. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 93219/8397759. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 93220/8397786. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((a a)(^x.a))((a a) a)) REDUCED to normal form. ------ 93221/8397813. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b) b)) REDUCED to normal form. ------ 93222/8397876. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 93223/8397903. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 93224/8397930. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.a))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 93225/8397957. ------ 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. ------ 93226/8397984. ------ 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)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^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. ------ 93227/8398155. ------ 1. ==[ start ]==> (((^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) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 93228/8398434. ------ 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. ------ 93229/8398614. ------ 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 (((a a) a)(a a))) REDUCED to normal form. ------ 93230/8398623. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 93231/8398650. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 93232/8398722. ------ 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))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93233/8398749. ------ 1. ==[ start ]==> ((a (^b.b))((a a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 93234/8398767. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.b))) REDUCED to normal form. ------ 93235/8398794. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 93236/8398821. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(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. ------ 93237/8398848. ------ 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. ------ 93238/8398875. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.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. ------ 93239/8398902. ------ 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. ------ 93240/8398929. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^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)(^x.x))((a a) a)) REDUCED to normal form. ------ 93241/8398983. ------ 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.(^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. ------ 93242/8399037. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 93243/8399064. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^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. ------ 93244/8399073. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b ((^a.a)(^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))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 93245/8399100. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(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. ------ 93246/8399235. ------ 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)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 93247/8399352. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 93248/8399379. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a)(^b.(^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. ------ 93249/8399406. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z)) 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. ------ 93250/8399433. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (a a)) b)) REDUCED to normal form. ------ 93251/8399541. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(^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. ------ 93252/8399559. ------ 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))) REDUCED to normal form. ------ 93253/8399568. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y)) b)) 3. ==[ beta ]==> (((a b)(^x.a))(b b)) REDUCED to normal form. ------ 93254/8399595. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) c)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 93255/8399676. ------ 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. ------ 93256/8399703. ------ 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. ------ 93257/8399739. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 93258/8399766. ------ 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. ------ 93259/8399793. ------ 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))) 5. ==[ beta ]==> ((a (b a))((^y.y)(^y.y))) 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. ------ 93260/8399820. ------ 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. ------ 93261/8399847. ------ 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))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 93262/8399874. ------ 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. ------ 93263/8399955. ------ 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. ------ 93264/8400009. ------ 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) REDUCED to normal form. ------ 93265/8400036. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 93266/8400063. ------ 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)))((^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. ------ 93267/8400099. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 93268/8400234. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 93269/8400342. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(a (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93270/8400378. ------ 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)) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 93271/8400405. ------ 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. ------ 93272/8400423. ------ 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. ------ 93273/8400450. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(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. ------ 93274/8400459. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^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. ------ 93275/8400485. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^x.(x (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(x (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 93276/8400486. ------ 1. ==[ start ]==> (a (((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a (((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (a (a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (a (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 93277/8400543. ------ 1. ==[ start ]==> ((^a.b)(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 93278/8407584. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^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) REDUCED to normal form. ------ 93279/8407590. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) 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. ------ 93280/8407599. ------ 1. ==[ start ]==> ((^a.(^a.a))((^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. ------ 93281/8407617. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(^b.b))) 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. ------ 93282/8407644. ------ 1. ==[ start ]==> ((^a.b)((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.b)((a a)(^y.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 93283/8407647. ------ 1. ==[ start ]==> ((a b)(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 93284/8407656. ------ 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. ------ 93285/8407842. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)(^x1.b))) 3. ==[ beta ]==> (^y.((^z.b)(^x1.b))) 4. ==[ alpha ]==> (^x.((^y.b)(^z.b))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 93286/8408007. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(a a)))) 5. ==[ beta ]==> (a (^y.(^z.(a a)))) 6. ==[ alpha ]==> (a (^x.(^y.(a a)))) REDUCED to normal form. ------ 93287/8408016. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((y y)(y y)))) REDUCED to normal form. ------ 93288/8408340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^z.b)) REDUCED to normal form. ------ 93289/8408409. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 93290/8408535. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a) a)(^x1.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. ------ 93291/8408682. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.x)((^y.y)(^z.z)))(^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. ------ 93292/8409006. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 93293/8409300. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 93294/8409480. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(^y.a)) b) 4. ==[ alpha ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 93295/8409867. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.(^y1.y1)))((^z.a)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(a ((^y1.a)(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.(^x1.x1))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 93296/8411742. ------ 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)(^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 93297/8412945. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93298/8413128. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(^c.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. ------ 93299/8413299. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.a))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 93300/8413434. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(^b.(^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. ------ 93301/8413596. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.((^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 (^x.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 93302/8413740. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 93303/8413866. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^a.(^b.(^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. ------ 93304/8414073. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.d)) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.d)) REDUCED to normal form. ------ 93305/8414259. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a)(^y.a))) 3. ==[ beta ]==> ((((a a)(^y.a))((a a)(^y.a)))(((a a)(^y.a))((a a)(^y.a)))) 4. ==[ alpha ]==> ((((a a)(^x.a))((a a)(^y.a)))(((a a)(^z.a))((a a)(^x1.a)))) REDUCED to normal form. ------ 93306/8414433. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.(^b.a))) 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. ------ 93307/8414541. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^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. ------ 93308/8414577. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(a a))) 3. ==[ beta ]==> ((b b)(^y.(a a))) 4. ==[ alpha ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 93309/8414622. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(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. ------ 93310/8414649. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 93311/8414658. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 93312/8414685. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.y1)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 93313/8414697. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 93314/8414706. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 93315/8414724. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 93316/8414733. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 93317/8414751. ------ 1. ==[ start ]==> ((a b)((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((a b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 93318/8414760. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a a)((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 93319/8414805. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) b) b)) 3. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 93320/8414841. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93321/8414922. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 93322/8414949. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.b))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 93323/8415057. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.(^y2.y2))))) 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. ------ 93324/8415066. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 93325/8415093. ------ 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))) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 93326/8415120. ------ 1. ==[ start ]==> (((a a)(^b.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(a ((a a)(a a)))) REDUCED to normal form. ------ 93327/8415147. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b (a a))) REDUCED to normal form. ------ 93328/8415174. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 93329/8415282. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a b)((a a) a))) 3. ==[ beta ]==> ((a a)((a b)((a a) a))) REDUCED to normal form. ------ 93330/8415363. ------ 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. ------ 93331/8415390. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a (a a)) a)(a (b a))) REDUCED to normal form. ------ 93332/8415417. ------ 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 (^z.(^x1.x1))))) REDUCED to normal form. ------ 93333/8415435. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 93334/8415444. ------ 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. ------ 93335/8415489. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(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. ------ 93336/8415516. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 93337/8415534. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((b a)(^x.a))) REDUCED to normal form. ------ 93338/8415561. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 93339/8415588. ------ 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. ------ 93340/8415615. ------ 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. ------ 93341/8415642. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.b))) REDUCED to normal form. ------ 93342/8415651. ------ 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. ------ 93343/8415678. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^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. ------ 93344/8415732. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(b a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 7. ==[ beta ]==> ((^y.a)(b a)) 8. ==[ alpha ]==> ((^x.a)(b a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 93345/8415786. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 7. ==[ beta ]==> ((^y.y)((^z.z) b)) 8. ==[ alpha ]==> ((^x.x)((^y.y) b)) 9. ==[ beta ]==> ((^y.y) b) 10. ==[ alpha ]==> ((^x.x) b) 11. ==[ beta ]==> b REDUCED to normal form. ------ 93346/8415813. ------ 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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93347/8416110. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(^b.b))) 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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93348/8416200. ------ 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. ------ 93349/8416227. ------ 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. ------ 93350/8416281. ------ 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. ------ 93351/8416308. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(a b))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a b))) 7. ==[ beta ]==> ((a (^x.(x x)))(a b)) REDUCED to normal form. ------ 93352/8416335. ------ 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. ------ 93353/8416362. ------ 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)(^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. ------ 93354/8416389. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 93355/8416407. ------ 1. ==[ start ]==> ((a (^a.b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 93356/8416452. ------ 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 (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 93357/8416479. ------ 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. ------ 93358/8416506. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a)(^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))) REDUCED to normal form. ------ 93359/8416533. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.(z z)))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 93360/8416560. ------ 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. ------ 93361/8416587. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((a (a b))(((a a) a)(^x.a))) REDUCED to normal form. ------ 93362/8416596. ------ 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. ------ 93363/8416677. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)((a a)(^x1.x1)))) IRREDUCIBLE: cycle. ------ 93364/8416758. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 93365/8416866. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 93366/8416947. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 93367/8416974. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 93368/8417046. ------ 1. ==[ start ]==> ((((^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))) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1))) a)) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 93369/8417145. ------ 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. ------ 93370/8417271. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(c (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 7. ==[ beta ]==> (c (^y.(^z.z))) 8. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 93371/8417406. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.(a a))((^z.z) a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 93372/8417433. ------ 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. ------ 93373/8417487. ------ 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.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a) a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 11. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93374/8417568. ------ 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 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. ------ 93375/8417640. ------ 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)) REDUCED to normal form. ------ 93376/8417667. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a) c)) REDUCED to normal form. ------ 93377/8417793. ------ 1. ==[ start ]==> (((^a.b) c)(d (a b))) 2. ==[ alpha ]==> (((^x.b) c)(d (a b))) 3. ==[ beta ]==> (b (d (a b))) REDUCED to normal form. ------ 93378/8418036. ------ 1. ==[ start ]==> (((a b) c)((a (a a))((a a) a))) REDUCED to normal form. ------ 93379/8418063. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 93380/8418090. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^y.y))(a a))) REDUCED to normal form. ------ 93381/8418108. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 93382/8418189. ------ 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 (^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 93383/8418270. ------ 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)(^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. ------ 93384/8418396. ------ 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.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)) REDUCED to normal form. ------ 93385/8418423. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 93386/8418450. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b) c)) REDUCED to normal form. ------ 93387/8418846. ------ 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)(^x.x)) b)((a a)(a a))) REDUCED to normal form. ------ 93388/8418891. ------ 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. ------ 93389/8418918. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 93390/8418972. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 93391/8419053. ------ 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. ------ 93392/8419314. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(a a)) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a)) a)) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 93393/8419341. ------ 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. ------ 93394/8419440. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93395/8419539. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.b)(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.b)(a a))) 5. ==[ beta ]==> ((a a)((^z.b)(a a))) 6. ==[ alpha ]==> ((a a)((^x.b)(a a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 93396/8419620. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 93397/8419728. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^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. ------ 93398/8419782. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^a.a))(^b.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. ------ 93399/8419836. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 93400/8419845. ------ 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. ------ 93401/8419872. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b ((a a) a))) 5. ==[ beta ]==> ((^y.b)(b ((a a) a))) 6. ==[ alpha ]==> ((^x.b)(b ((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 93402/8419926. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 93403/8419953. ------ 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)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 93404/8419980. ------ 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) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a (a a)) a)) REDUCED to normal form. ------ 93405/8420034. ------ 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)))(^z.z))((a (^x1.x1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 93406/8420052. ------ 1. ==[ start ]==> ((a (^b.b))(b (^c.a))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 93407/8420097. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 93408/8420124. ------ 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)(^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. ------ 93409/8420151. ------ 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. ------ 93410/8420178. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(z z)))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(y y)))) 7. ==[ beta ]==> ((a b)(a (^y.(y y)))) 8. ==[ alpha ]==> ((a b)(a (^x.(x x)))) REDUCED to normal form. ------ 93411/8420205. ------ 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. ------ 93412/8420232. ------ 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)(^y.y))((a a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 93413/8420259. ------ 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. ------ 93414/8420286. ------ 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)(^x.x)) 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)((^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. ------ 93415/8420376. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^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. ------ 93416/8420538. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (^b.(^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. ------ 93417/8420646. ------ 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)((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93418/8420655. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c d)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c d)) REDUCED to normal form. ------ 93419/8420700. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^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. ------ 93420/8420727. ------ 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))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 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. ------ 93421/8420781. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 93422/8420817. ------ 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 a) REDUCED to normal form. ------ 93423/8420844. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 93424/8420871. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(a a))) REDUCED to normal form. ------ 93425/8420898. ------ 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. ------ 93426/8420925. ------ 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 (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z)) a)) REDUCED to normal form. ------ 93427/8420970. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 93428/8421042. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 93429/8421069. ------ 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 x1)))) REDUCED to normal form. ------ 93430/8421096. ------ 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. ------ 93431/8421123. ------ 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. ------ 93432/8421204. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x)) a)) 3. ==[ beta ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 93433/8421231. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a) b)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a) b)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 93434/8421312. ------ 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)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 93435/8421339. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 93436/8421366. ------ 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. ------ 93437/8421402. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 93438/8421537. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 93439/8421645. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^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. ------ 93440/8421681. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a)(a a))) 3. ==[ beta ]==> ((b b)((a a)(a a))) REDUCED to normal form. ------ 93441/8421708. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b a)) REDUCED to normal form. ------ 93442/8421726. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)(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. ------ 93443/8421753. ------ 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)((^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. ------ 93444/8421762. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 93445/8421789. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 93446/8428896. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a)))) b) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1)))) b) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1)))) b) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 93447/8428920. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93448/8428986. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a)(a a)))) REDUCED to normal form. ------ 93449/8429001. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(a a)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 93450/8429337. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 93451/8429505. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)((a a) a))) 3. ==[ beta ]==> (((a b)((a a) a))(((a b)((a a) a))((a b)((a a) a)))) REDUCED to normal form. ------ 93452/8429730. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.(^a.a)))(^a.(^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. ------ 93453/8430012. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 93454/8430957. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 93455/8431263. ------ 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 (^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))))) REDUCED to normal form. ------ 93456/8431395. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((((a a) a)((^z.z)(^x1.x1)))(((a a) a)((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((((a a) a)((^y.y)(^z.z)))(((a a) a)((^x1.x1)(^y1.y1))))) 5. ==[ beta ]==> ((((a a) a)((^y.y)(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((((a a) a)(^x.x))(((a a) a)(^z.z))) 10. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 93457/8431821. ------ 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))) REDUCED to normal form. ------ 93458/8432070. ------ 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. ------ 93459/8432826. ------ 1. ==[ start ]==> ((^a.(b a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(b ((^y.y)(a a)))) 3. ==[ eta ]==> (b (b ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 93460/8433306. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 93461/8433531. ------ 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.x1)(z z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 93462/8433663. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((((^x1.x1) a)((^y1.y1)(^z1.z1)))(^y.(^z.z))) 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 (^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 93463/8434581. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c (a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c (a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 93464/8434917. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(^b.(^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. ------ 93465/8434926. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 93466/8435061. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 93467/8435196. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 93468/8435421. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(x (x x)))) REDUCED to normal form. ------ 93469/8435580. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b c)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b c)) 3. ==[ beta ]==> (((b c)(b c))((b c)(b c))) REDUCED to normal form. ------ 93470/8435754. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 93471/8435862. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93472/8435925. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 93473/8435970. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 93474/8435979. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 93475/8436006. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.(^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))) REDUCED to normal form. ------ 93476/8436036. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 93477/8436045. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(a (^a.(^a.a))))) 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))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 93478/8436063. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(^b.b))) 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. ------ 93479/8436072. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 93480/8436099. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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. ------ 93481/8436117. ------ 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. ------ 93482/8436126. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 93483/8436153. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.b)(^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. ------ 93484/8436180. ------ 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. ------ 93485/8436261. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 93486/8436315. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(^b.(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. ------ 93487/8436396. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 93488/8436423. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.a))(^b.b))) 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 93489/8436450. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 93490/8436540. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 93491/8436567. ------ 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. ------ 93492/8436594. ------ 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. ------ 93493/8436621. ------ 1. ==[ start ]==> ((a (a (a a)))((a b)((a a) a))) REDUCED to normal form. ------ 93494/8436774. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.z))) REDUCED to normal form. ------ 93495/8436819. ------ 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. ------ 93496/8436828. ------ 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. ------ 93497/8436846. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 93498/8436936. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 93499/8436981. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((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. ------ 93500/8437008. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^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. ------ 93501/8437071. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(b a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(b a))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 93502/8437098. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 93503/8437116. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a)(^b.b))) 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. ------ 93504/8437125. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 93505/8437143. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 93506/8437152. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 93507/8437179. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 93508/8437197. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b a) c)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b a) c)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a) c)) REDUCED to normal form. ------ 93509/8437494. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> (a ((^z.(^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z))) b)) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 93510/8437755. ------ 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. ------ 93511/8437908. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 93512/8437926. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.b)(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 93513/8438070. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(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. ------ 93514/8438088. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 93515/8438097. ------ 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. ------ 93516/8438115. ------ 1. ==[ start ]==> (((^a.a)(a b))((b a) b)) 2. ==[ alpha ]==> (((^x.x)(a b))((b a) b)) 3. ==[ beta ]==> ((a b)((b a) b)) REDUCED to normal form. ------ 93517/8438178. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 93518/8438205. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 93519/8438232. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 93520/8438259. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 93521/8438286. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 93522/8438322. ------ 1. ==[ start ]==> (((a a)(a b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(c ((a a)(^x.x)))) REDUCED to normal form. ------ 93523/8438349. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (b a))) REDUCED to normal form. ------ 93524/8438376. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x)(^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))))) REDUCED to normal form. ------ 93525/8438403. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((b a)(a a))) REDUCED to normal form. ------ 93526/8438430. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (a (((a a)(^y.y))(a (^z.z)))) 8. ==[ alpha ]==> (a (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 93527/8438457. ------ 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) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 93528/8438484. ------ 1. ==[ start ]==> (((a b)(a a))((a b)(a (a a)))) REDUCED to normal form. ------ 93529/8438511. ------ 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 (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. ------ 93530/8438682. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 93531/8438736. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.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. ------ 93532/8438745. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 93533/8438763. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 93534/8438772. ------ 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. ------ 93535/8438826. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 93536/8438853. ------ 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 x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(a b))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))(a b))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a b))) 7. ==[ beta ]==> (((^y.(y y))(a b))((^y.(y y))(a b))) 8. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(a b))) 9. ==[ beta ]==> (((a b)(a b))((^y.(y y))(a b))) 10. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(a b))) 11. ==[ beta ]==> (((a b)(a b))((a b)(a b))) REDUCED to normal form. ------ 93537/8438880. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.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. ------ 93538/8438898. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((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. ------ 93539/8438907. ------ 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 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. ------ 93540/8438934. ------ 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. ------ 93541/8439123. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(y y))(^z.b))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.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. ------ 93542/8439186. ------ 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. ------ 93543/8439501. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 93544/8439519. ------ 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. ------ 93545/8439555. ------ 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)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93546/8439600. ------ 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.(^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. ------ 93547/8439609. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 93548/8439636. ------ 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. ------ 93549/8439663. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 93550/8439942. ------ 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. ------ 93551/8440032. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b) c)) 5. ==[ beta ]==> (b ((^z.b) c)) 6. ==[ alpha ]==> (b ((^x.b) c)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 93552/8440176. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (^y.(a a)))) REDUCED to normal form. ------ 93553/8440221. ------ 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. ------ 93554/8440248. ------ 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)(^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. ------ 93555/8440284. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 93556/8440302. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((a b)(a b))(^y.(y y))) 8. ==[ alpha ]==> (((a b)(a b))(^x.(x x))) REDUCED to normal form. ------ 93557/8440311. ------ 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. ------ 93558/8440365. ------ 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))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 93559/8440383. ------ 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. ------ 93560/8440392. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^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. ------ 93561/8440419. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 93562/8440446. ------ 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 a))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 93563/8440590. ------ 1. ==[ start ]==> (((a (a a))(a b))(c ((a a) a))) REDUCED to normal form. ------ 93564/8440617. ------ 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. ------ 93565/8440644. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (a a))) REDUCED to normal form. ------ 93566/8440671. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a b)(a a))) REDUCED to normal form. ------ 93567/8440698. ------ 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)))) 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. ------ 93568/8440725. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 93569/8440779. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 93570/8440869. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a b)(^z.z))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a b)(^z.z))) 5. ==[ beta ]==> ((a a)((a b)(^z.z))) 6. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 93571/8440950. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 93572/8441058. ------ 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. ------ 93573/8441067. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 93574/8441085. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a) a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 93575/8441112. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^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. ------ 93576/8441175. ------ 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. ------ 93577/8441202. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^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. ------ 93578/8441247. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.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)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 93579/8441400. ------ 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. ------ 93580/8441661. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a))(^b.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. ------ 93581/8441697. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c (a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c (a (a a)))) 3. ==[ beta ]==> ((a b)(c (a (a a)))) REDUCED to normal form. ------ 93582/8441976. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1) a)(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a)(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93583/8441985. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.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. ------ 93584/8442012. ------ 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)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 93585/8442030. ------ 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. ------ 93586/8442039. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(^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. ------ 93587/8442057. ------ 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)(^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. ------ 93588/8442066. ------ 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))(^x2.x2))) 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. ------ 93589/8442147. ------ 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))(^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. ------ 93590/8442174. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)(^b.(^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. ------ 93591/8442192. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(^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. ------ 93592/8442309. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 93593/8442336. ------ 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. ------ 93594/8442372. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c c)) 3. ==[ beta ]==> (((a a) b)(c c)) REDUCED to normal form. ------ 93595/8442507. ------ 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. ------ 93596/8442534. ------ 1. ==[ start ]==> (((a b)((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 93597/8442561. ------ 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. ------ 93598/8442588. ------ 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. ------ 93599/8442669. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c b)) 3. ==[ beta ]==> ((b (a a))(c b)) REDUCED to normal form. ------ 93600/8442696. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b c)) REDUCED to normal form. ------ 93601/8442732. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 93602/8442867. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z) c)) 3. ==[ beta ]==> (b ((^z.z) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 93603/8442975. ------ 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. ------ 93604/8443011. ------ 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. ------ 93605/8443038. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 93606/8443056. ------ 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. ------ 93607/8443083. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((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. ------ 93608/8443092. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^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. ------ 93609/8443119. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a (^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 93610/8443136. ------ 1. ==[ start ]==> (^a.((^a.(a a))(b a))) 2. ==[ alpha ]==> (^x.((^y.(y y))(b x))) 3. ==[ beta ]==> (^x.((b x)(b x))) REDUCED to normal form. ------ 93611/8443137. ------ 1. ==[ start ]==> (a ((^a.(a a))(b a))) 2. ==[ alpha ]==> (a ((^x.(x x))(b a))) 3. ==[ beta ]==> (a ((b a)(b a))) REDUCED to normal form. ------ 93612/8450253. ------ 1. ==[ start ]==> (((^a.(a a))(b a)) a) 2. ==[ alpha ]==> (((^x.(x x))(b a)) a) 3. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 93613/8450259. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 3. ==[ beta ]==> ((^y.(y y))(b a)) 4. ==[ alpha ]==> ((^x.(x x))(b a)) 5. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 93614/8450286. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.a)(a (^z.(^x1.x1))))((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.a)(a (^y.(^z.z))))((^x1.a)(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (a ((^x1.a)(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> (a ((^x.a)(a (^y.(^z.z))))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 93615/8450313. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 93616/8450394. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^z.z)(^x1.(^y1.y1)))(^y.y)) 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. ------ 93617/8450583. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^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. ------ 93618/8450703. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^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. ------ 93619/8450754. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 93620/8451204. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)((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. ------ 93621/8451360. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 93622/8451969. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 93623/8452017. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(^b.b))) 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))) REDUCED to normal form. ------ 93624/8452149. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)((^z.z)(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z))) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 93625/8452305. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 93626/8452611. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 93627/8453457. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(a a))) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 93628/8453961. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 93629/8454174. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^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. ------ 93630/8454654. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 93631/8454879. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(^b.(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. ------ 93632/8455482. ------ 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 (^x1.(x1 b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 93633/8455614. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93634/8455662. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.b))) REDUCED to normal form. ------ 93635/8455824. ------ 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. ------ 93636/8455929. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.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. ------ 93637/8456274. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 93638/8456427. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.((^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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 93639/8456661. ------ 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)))) REDUCED to normal form. ------ 93640/8456769. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 93641/8456877. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 93642/8456928. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.(^z.z))(a (^x1.x1)))((^y.(^z.z))(a (^x1.x1))))(((^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))))(((^x2.(^y2.y2))(a (^z2.z2)))((^x3.(^y3.y3))(a (^z3.z3))))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(a (^z1.z1))))(((^x2.(^y2.y2))(a (^z2.z2)))((^x3.(^y3.y3))(a (^z3.z3))))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (^x1.x1))))(((^y1.(^z1.z1))(a (^x2.x2)))((^y2.(^z2.z2))(a (^x3.x3))))) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))(((^y1.(^z1.z1))(a (^x2.x2)))((^y2.(^z2.z2))(a (^x3.x3))))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.(^y1.y1))(a (^z1.z1)))((^x2.(^y2.y2))(a (^z2.z2))))) 9. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(a (^z1.z1)))((^x2.(^y2.y2))(a (^z2.z2))))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2))))) 11. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 12. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 13. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 15. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 16. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93643/8457102. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 93644/8457273. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.b)) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 93645/8457318. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 93646/8457327. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 93647/8457354. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 93648/8457372. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.y)) 3. ==[ beta ]==> (((b a)(b a))(^y.y)) 4. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 93649/8457384. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(b a))) 3. ==[ beta ]==> ((a a)((b a)(b a))) REDUCED to normal form. ------ 93650/8457402. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (a (((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (a (((^x.x) 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. ------ 93651/8457411. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 93652/8457429. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 93653/8457438. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 93654/8457483. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(a a)) a)) 3. ==[ beta ]==> (b (((a a)(a a)) a)) REDUCED to normal form. ------ 93655/8457510. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 93656/8457519. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.b)(^a.(^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. ------ 93657/8457537. ------ 1. ==[ start ]==> (((a a) b)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 93658/8457654. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 93659/8457708. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 93660/8457798. ------ 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))) 7. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 93661/8457825. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(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. ------ 93662/8457861. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^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. ------ 93663/8457879. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 93664/8457987. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.(y y))((a b)((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))((a b)((a a) a))) 5. ==[ beta ]==> (((a b)((a a) a))((a b)((a a) a))) REDUCED to normal form. ------ 93665/8458014. ------ 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. ------ 93666/8458068. ------ 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. ------ 93667/8458095. ------ 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. ------ 93668/8458122. ------ 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 (^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. ------ 93669/8458185. ------ 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. ------ 93670/8458221. ------ 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 (^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. ------ 93671/8458293. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((b b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 93672/8458302. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 93673/8458329. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((a a) a))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 93674/8458455. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)((a (^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. ------ 93675/8458482. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 93676/8458509. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b a)) REDUCED to normal form. ------ 93677/8458536. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (^y.a))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 93678/8458563. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a) c)) REDUCED to normal form. ------ 93679/8458626. ------ 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)(^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. ------ 93680/8458653. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 93681/8458707. ------ 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. ------ 93682/8458797. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (a (^a.(^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. ------ 93683/8458851. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (a ((a (^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 93684/8458932. ------ 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. ------ 93685/8458959. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^y1.y1)(^z1.z1)))) 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. ------ 93686/8459013. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(a b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(a b))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a b))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a b))) 9. ==[ beta ]==> ((a a)((^y.y)(a b))) 10. ==[ alpha ]==> ((a a)((^x.x)(a b))) 11. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 93687/8459094. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(b a))) REDUCED to normal form. ------ 93688/8459112. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 93689/8459139. ------ 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 (^x.x))(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 93690/8459166. ------ 1. ==[ start ]==> ((((^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 a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 93691/8459247. ------ 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. ------ 93692/8459265. ------ 1. ==[ start ]==> (((^a.b) a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 93693/8459274. ------ 1. ==[ start ]==> ((a (a b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 93694/8459427. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 93695/8459454. ------ 1. ==[ start ]==> (((a b) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 93696/8459481. ------ 1. ==[ start ]==> (((a a)(^a.b))((b a) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((b a) b)) REDUCED to normal form. ------ 93697/8459679. ------ 1. ==[ start ]==> (((a a)(a b))((^b.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. ------ 93698/8459733. ------ 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 (^y.y))((^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. ------ 93699/8459877. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 93700/8459904. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^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. ------ 93701/8459958. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 8. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 9. ==[ beta ]==> (a ((^y.y)(a a))) 10. ==[ alpha ]==> (a ((^x.x)(a a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 93702/8460048. ------ 1. ==[ start ]==> (((a b) b)((b a)(^a.a))) 2. ==[ alpha ]==> (((a b) b)((b a)(^x.x))) REDUCED to normal form. ------ 93703/8460075. ------ 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.(^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. ------ 93704/8460102. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 93705/8460129. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b)(^z.(z z)))) REDUCED to normal form. ------ 93706/8460183. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 93707/8460210. ------ 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. ------ 93708/8460237. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)(^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. ------ 93709/8460264. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 93710/8460354. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(^a.a))(^a.(^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. ------ 93711/8460381. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a 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. ------ 93712/8460408. ------ 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. ------ 93713/8460462. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 93714/8460489. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 93715/8460516. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(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. ------ 93716/8460579. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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. ------ 93717/8460714. ------ 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)(^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. ------ 93718/8460795. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 93719/8460822. ------ 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)(^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. ------ 93720/8460858. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 93721/8460912. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b)(^b.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. ------ 93722/8460939. ------ 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.(y y)))) REDUCED to normal form. ------ 93723/8460966. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 93724/8461020. ------ 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))(^y.y))(a (^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.b))) REDUCED to normal form. ------ 93725/8461056. ------ 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)(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. ------ 93726/8461083. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((a a)(^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. ------ 93727/8461110. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 93728/8461137. ------ 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. ------ 93729/8461164. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b)(^b.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. ------ 93730/8461218. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 93731/8461272. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 93732/8461299. ------ 1. ==[ start ]==> ((a (b a))((^a.(^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. ------ 93733/8461389. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a b)(a (^z.z)))) 5. ==[ beta ]==> (b ((a b)(a (^z.z)))) 6. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 93734/8461470. ------ 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. ------ 93735/8461641. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a) a)(^b.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. ------ 93736/8461668. ------ 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. ------ 93737/8461722. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 93738/8461749. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 93739/8461776. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 93740/8461803. ------ 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)(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 93741/8461866. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 93742/8461893. ------ 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))(^y1.(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. ------ 93743/8461920. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a (a a))(^y.y)) 10. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 93744/8461947. ------ 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. ------ 93745/8461974. ------ 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.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. ------ 93746/8462001. ------ 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)(^y.y))((^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. ------ 93747/8462145. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 93748/8462424. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a b) a)) REDUCED to normal form. ------ 93749/8462451. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a) b)) REDUCED to normal form. ------ 93750/8462604. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 93751/8462613. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 93752/8462667. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 93753/8462712. ------ 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 (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. ------ 93754/8462739. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 93755/8462757. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (^z.a))) REDUCED to normal form. ------ 93756/8462784. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.b))) REDUCED to normal form. ------ 93757/8462838. ------ 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. ------ 93758/8462865. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a b)((^y.(y y))((^z.z) a))) 6. ==[ alpha ]==> ((a b)((^x.(x x))((^y.y) a))) 7. ==[ beta ]==> ((a b)(((^y.y) a)((^y.y) a))) 8. ==[ alpha ]==> ((a b)(((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> ((a b)(a ((^y.y) a))) 10. ==[ alpha ]==> ((a b)(a ((^x.x) a))) 11. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 93759/8462892. ------ 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. ------ 93760/8462919. ------ 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)(^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. ------ 93761/8462946. ------ 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. ------ 93762/8463018. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 93763/8463027. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 93764/8463054. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.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. ------ 93765/8463063. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 93766/8463090. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(b ((^z1.z1)(^x2.x2)))) 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. ------ 93767/8463225. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 93768/8463342. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a)(^b.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. ------ 93769/8463369. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) 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. ------ 93770/8463396. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 93771/8463423. ------ 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)(^z1.z1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 93772/8463549. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(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. ------ 93773/8463558. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(^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. ------ 93774/8463585. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z)) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 93775/8463612. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 93776/8463657. ------ 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 (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. ------ 93777/8463693. ------ 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. ------ 93778/8463729. ------ 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) REDUCED to normal form. ------ 93779/8463756. ------ 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.(^y1.y1))((^z1.z1) 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. ------ 93780/8463783. ------ 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. ------ 93781/8463810. ------ 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. ------ 93782/8463837. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 93783/8463864. ------ 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. ------ 93784/8463891. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^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. ------ 93785/8463999. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 93786/8464026. ------ 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) REDUCED to normal form. ------ 93787/8464053. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(^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. ------ 93788/8464224. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((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. ------ 93789/8464332. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.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. ------ 93790/8464368. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z)) a)) 3. ==[ beta ]==> ((b b)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((b b)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 93791/8464395. ------ 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. ------ 93792/8464413. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b a)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(b a)) 3. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 93793/8464440. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 93794/8464449. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 93795/8464476. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.y1) a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.y1) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1) a)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 93796/8464494. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a a)) 3. ==[ beta ]==> (((b a)(b a))(a a)) REDUCED to normal form. ------ 93797/8464596. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 93798/8471619. ------ 1. ==[ start ]==> (((^a.(a a))(b a)) b) 2. ==[ alpha ]==> (((^x.(x x))(b a)) b) 3. ==[ beta ]==> (((b a)(b a)) b) REDUCED to normal form. ------ 93799/8471643. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93800/8471661. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.(^y1.y1))))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.(^z1.(^x2.x2))))) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 93801/8471688. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 93802/8471724. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 93803/8471727. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 93804/8471769. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> ((((^z.z) b) b)(^y.y)) 4. ==[ alpha ]==> ((((^x.x) b) b)(^y.y)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 93805/8471886. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a))(^c.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. ------ 93806/8472078. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 93807/8472087. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) REDUCED to normal form. ------ 93808/8472453. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 93809/8472579. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b)(^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. ------ 93810/8472753. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(^y.y))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 93811/8473344. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (^d.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 93812/8473524. ------ 1. ==[ start ]==> ((^a.(a b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(^y.(^z.z))) b) 4. ==[ alpha ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 93813/8473698. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 93814/8473911. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (^y.(((^z.(z z))(^x1.(a a)))((^z.(z z))(^x1.(a a))))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(^z.(a a)))((^x1.(x1 x1))(^y1.(a a))))) 5. ==[ beta ]==> (^x.(((^z.(a a))(^z.(a a)))((^x1.(x1 x1))(^y1.(a a))))) 6. ==[ alpha ]==> (^x.(((^y.(a a))(^z.(a a)))((^x1.(x1 x1))(^y1.(a a))))) 7. ==[ beta ]==> (^x.((a a)((^x1.(x1 x1))(^y1.(a a))))) 8. ==[ alpha ]==> (^x.((a a)((^y.(y y))(^z.(a a))))) 9. ==[ beta ]==> (^x.((a a)((^z.(a a))(^z.(a a))))) 10. ==[ alpha ]==> (^x.((a a)((^y.(a a))(^z.(a a))))) 11. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 93815/8474292. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 93816/8475084. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 93817/8475831. ------ 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. ------ 93818/8476098. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.b)(^a.(^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. ------ 93819/8476479. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(z z)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(z z)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 93820/8476668. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(a y1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(^x1.x1)) 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. ------ 93821/8476857. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (b (^x1.(^y1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 93822/8476866. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 93823/8476989. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93824/8477667. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(^x2.x2)))) 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. ------ 93825/8477802. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(^b.(^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. ------ 93826/8477811. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 93827/8478036. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 93828/8478144. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.d)) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.d)) REDUCED to normal form. ------ 93829/8478303. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a (^y.y))(^z.(^x1.x1)))((a (^y.y))(^z.(^x1.x1))))(((a (^y.y))(^z.(^x1.x1)))((a (^y.y))(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1))))(((a (^x2.x2))(^y2.(^z2.z2)))((a (^x3.x3))(^y3.(^z3.z3))))) REDUCED to normal form. ------ 93830/8478342. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 93831/8478621. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 93832/8478666. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 93833/8478693. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 93834/8478702. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 93835/8478729. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(y1 y1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(y1 y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 93836/8478747. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 93837/8478777. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(b a))) 3. ==[ beta ]==> ((a (^x.x))((b a)(b a))) REDUCED to normal form. ------ 93838/8478795. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 93839/8478804. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^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 REDUCED to normal form. ------ 93840/8478822. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 93841/8478831. ------ 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 93842/8478858. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 93843/8478876. ------ 1. ==[ start ]==> (((a a)(a a))(((a a)(a a)) a)) REDUCED to normal form. ------ 93844/8478903. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b) b)) 3. ==[ beta ]==> ((a (a (^x.x)))(b b)) REDUCED to normal form. ------ 93845/8478912. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 93846/8478939. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 93847/8479020. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 93848/8479101. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 93849/8479182. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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. ------ 93850/8479191. ------ 1. ==[ start ]==> (((a a)(^b.a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.a))(b ((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.a))(b b)) REDUCED to normal form. ------ 93851/8479218. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((a a)(a a)))) REDUCED to normal form. ------ 93852/8479245. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(a a))) 5. ==[ beta ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 93853/8479353. ------ 1. ==[ start ]==> (((^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)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((a a)((^y.y)(^z.z)))) 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. ------ 93854/8479434. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a b)((^x.x)((^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. ------ 93855/8479461. ------ 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. ------ 93856/8479488. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (b a))) REDUCED to normal form. ------ 93857/8479515. ------ 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 (^x1.(^y1.y1))))) REDUCED to normal form. ------ 93858/8479542. ------ 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))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 93859/8479587. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 93860/8479605. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 93861/8479632. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((b a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((b a)(^y.a))) REDUCED to normal form. ------ 93862/8479659. ------ 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. ------ 93863/8479686. ------ 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)))) 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. ------ 93864/8479713. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 93865/8479722. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 93866/8479803. ------ 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 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. ------ 93867/8479857. ------ 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 (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 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. ------ 93868/8479884. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 93869/8479938. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 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. ------ 93870/8480181. ------ 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))(^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. ------ 93871/8480271. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y) b)((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)((b a)(a (^y.y)))) 5. ==[ beta ]==> (b ((b a)(a (^y.y)))) 6. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 93872/8480298. ------ 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)(^x.x)) a)) REDUCED to normal form. ------ 93873/8480352. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.x1))) REDUCED to normal form. ------ 93874/8480379. ------ 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. ------ 93875/8480406. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(a b))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(a b))) 5. ==[ beta ]==> (((a (a a))(^x.a))(a b)) REDUCED to normal form. ------ 93876/8480433. ------ 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. ------ 93877/8480460. ------ 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)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 93878/8480478. ------ 1. ==[ start ]==> ((a (^a.b))(c (^d.a))) 2. ==[ alpha ]==> ((a (^x.b))(c (^y.a))) REDUCED to normal form. ------ 93879/8480550. ------ 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)))(^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))) REDUCED to normal form. ------ 93880/8480577. ------ 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. ------ 93881/8480604. ------ 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 a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 93882/8480631. ------ 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)))) 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. ------ 93883/8480658. ------ 1. ==[ start ]==> ((a (a b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 93884/8480667. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 93885/8480748. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))((^x1.x1)(a a)))) IRREDUCIBLE: cycle. ------ 93886/8480829. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 93887/8480856. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 93888/8480937. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 93889/8481018. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 93890/8481045. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 93891/8481144. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z))) 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. ------ 93892/8481216. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 93893/8481423. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 93894/8481504. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 93895/8481639. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 93896/8481711. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((b a) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((b a) a)) 3. ==[ beta ]==> (((a a)(a a))((b a) a)) REDUCED to normal form. ------ 93897/8481738. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 93898/8482107. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) c)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b) c)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b) c)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a b) c)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a b) c)(^y.y)) 8. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 93899/8482134. ------ 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. ------ 93900/8482161. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a b))) REDUCED to normal form. ------ 93901/8482206. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(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. ------ 93902/8482215. ------ 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. ------ 93903/8482341. ------ 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. ------ 93904/8482440. ------ 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.(a a)))) REDUCED to normal form. ------ 93905/8482494. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 93906/8482521. ------ 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. ------ 93907/8482548. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b) c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b) c)) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b) c)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b) c)) 7. ==[ beta ]==> ((^y.y)((a b) c)) 8. ==[ alpha ]==> ((^x.x)((a b) c)) 9. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 93908/8482917. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(a b))) REDUCED to normal form. ------ 93909/8482962. ------ 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. ------ 93910/8482989. ------ 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 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. ------ 93911/8483043. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 93912/8483124. ------ 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. ------ 93913/8483232. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.b)(^a.(^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. ------ 93914/8483250. ------ 1. ==[ start ]==> (((a a)(b a))(((a a) a) c)) REDUCED to normal form. ------ 93915/8483412. ------ 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. ------ 93916/8483439. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.b) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.b) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b) b)) 5. ==[ beta ]==> (((a a) a)((^y.b) b)) 6. ==[ alpha ]==> (((a a) a)((^x.b) b)) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 93917/8483511. ------ 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 (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. ------ 93918/8483610. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (^z.(a a)))) 5. ==[ beta ]==> ((a a)(a (^z.(a a)))) 6. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 93919/8483691. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^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. ------ 93920/8483799. ------ 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))((^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. ------ 93921/8483826. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 93922/8483853. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.a)(^a.(^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. ------ 93923/8483907. ------ 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.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(z z)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(y y)))) 9. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^y.(y y)))) 10. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 93924/8483943. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(c ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(c ((^y.y)(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 93925/8483988. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 93926/8483997. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 93927/8484024. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(a a))) REDUCED to normal form. ------ 93928/8484051. ------ 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)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 93929/8484105. ------ 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 (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (a (a a)))) REDUCED to normal form. ------ 93930/8484123. ------ 1. ==[ start ]==> ((a (^b.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 93931/8484195. ------ 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)(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 93932/8484222. ------ 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. ------ 93933/8484249. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (a a))(^b.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. ------ 93934/8484276. ------ 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. ------ 93935/8484303. ------ 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.(^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. ------ 93936/8484357. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a) a) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a) a) a)) REDUCED to normal form. ------ 93937/8484447. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.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. ------ 93938/8484474. ------ 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.(^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. ------ 93939/8484609. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (^z.(z z)))) 3. ==[ beta ]==> (b (c (^z.(z z)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 93940/8484717. ------ 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 (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 93941/8484753. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c d)) 2. ==[ alpha ]==> ((((^x.x) b) a)(c d)) 3. ==[ beta ]==> ((b a)(c d)) REDUCED to normal form. ------ 93942/8484771. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^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. ------ 93943/8484798. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1)(^x2.x2)))) 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. ------ 93944/8484852. ------ 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))(^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. ------ 93945/8484888. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c ((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))(c ((^z.z) a))) 6. ==[ alpha ]==> ((^x.(a a))(c ((^y.y) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 93946/8484915. ------ 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. ------ 93947/8484933. ------ 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 ((^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. ------ 93948/8484942. ------ 1. ==[ start ]==> (((a b)(^c.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 93949/8484969. ------ 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))(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. ------ 93950/8484996. ------ 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. ------ 93951/8485041. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 93952/8485050. ------ 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 (a a)))) REDUCED to normal form. ------ 93953/8485113. ------ 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) 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. ------ 93954/8485140. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 93955/8485167. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(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. ------ 93956/8485194. ------ 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. ------ 93957/8485221. ------ 1. ==[ start ]==> ((((^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) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a) b)) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a) b)) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a) b)) 7. ==[ beta ]==> ((a a)(((^y.y) a) b)) 8. ==[ alpha ]==> ((a a)(((^x.x) a) b)) 9. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 93958/8485248. ------ 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. ------ 93959/8485302. ------ 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.(x1 x1)) a)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z)) a)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z)) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) a)) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 93960/8485329. ------ 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. ------ 93961/8485410. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(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))) 5. ==[ beta ]==> ((b (a a))(a (^y.y))) 6. ==[ alpha ]==> ((b (a a))(a (^x.x))) REDUCED to normal form. ------ 93962/8485437. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 93963/8485473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 93964/8485608. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 93965/8485716. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^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. ------ 93966/8485752. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 93967/8485779. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a)(a a))) REDUCED to normal form. ------ 93968/8485797. ------ 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. ------ 93969/8485824. ------ 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)((^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. ------ 93970/8485833. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 93971/8485860. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a (a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 93972/8485878. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 93973/8493012. ------ 1. ==[ start ]==> (((^a.(a a))(b a)) c) 2. ==[ alpha ]==> (((^x.(x x))(b a)) c) 3. ==[ beta ]==> (((b a)(b a)) c) REDUCED to normal form. ------ 93974/8493138. ------ 1. ==[ start ]==> (((^a.a) b)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 93975/8493489. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 93976/8493531. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.b) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 93977/8493630. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^z.z)(^x1.x1)))((((^y.y)(a a))((^z.z)(^x1.x1)))(((^y.y)(a a))((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((((^x1.x1)(a a))((^y1.y1)(^z1.z1)))(((^x2.x2)(a a))((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((((^x1.x1)(a a))((^y1.y1)(^z1.z1)))(((^x2.x2)(a a))((^y2.y2)(^z2.z2))))) 6. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((((^z.z)(a a))((^x1.x1)(^y1.y1)))(((^z1.z1)(a a))((^x2.x2)(^y2.y2))))) 7. ==[ beta ]==> (((a a)(^y.y))((((^z.z)(a a))((^x1.x1)(^y1.y1)))(((^z1.z1)(a a))((^x2.x2)(^y2.y2))))) 8. ==[ alpha ]==> (((a a)(^x.x))((((^y.y)(a a))((^z.z)(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2))))) 9. ==[ beta ]==> (((a a)(^x.x))(((a a)((^z.z)(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2))))) 10. ==[ alpha ]==> (((a a)(^x.x))(((a a)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1))))) 11. ==[ beta ]==> (((a a)(^x.x))(((a a)(^z.z))(((^x1.x1)(a a))((^y1.y1)(^z1.z1))))) 12. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1))))) 13. ==[ beta ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)((^x1.x1)(^y1.y1))))) 14. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)((^z.z)(^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. ------ 93978/8493855. ------ 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. ------ 93979/8494164. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 93980/8495100. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 93981/8495109. ------ 1. ==[ start ]==> (((a b) a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 93982/8495415. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 93983/8495520. ------ 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. ------ 93984/8495703. ------ 1. ==[ start ]==> (((a b) b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 93985/8496951. ------ 1. ==[ start ]==> ((^a.(b a))(c (a b))) 2. ==[ alpha ]==> ((^x.(b x))(c (a b))) 3. ==[ eta ]==> (b (c (a b))) REDUCED to normal form. ------ 93986/8497458. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 93987/8497500. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a b) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a b) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 93988/8497683. ------ 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. ------ 93989/8497788. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a))(a (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. ------ 93990/8498079. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(a z))) 3. ==[ eta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 93991/8498268. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 93992/8498439. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((a a) a))) REDUCED to normal form. ------ 93993/8499078. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 93994/8499213. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 93995/8499348. ------ 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. ------ 93996/8499573. ------ 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.(x1 (x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 93997/8499744. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 93998/8500023. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 93999/8500068. ------ 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. ------ 94000/8500095. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 94001/8500104. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 94002/8500131. ------ 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))) REDUCED to normal form. ------ 94003/8500149. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.a)) 3. ==[ beta ]==> (((b a)(b a))(^y.a)) 4. ==[ alpha ]==> (((b a)(b a))(^x.a)) REDUCED to normal form. ------ 94004/8500197. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(b a))) 3. ==[ beta ]==> (a ((^y.(y y))(b a))) 4. ==[ alpha ]==> (a ((^x.(x x))(b a))) 5. ==[ beta ]==> (a ((b a)(b a))) REDUCED to normal form. ------ 94005/8500215. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 94006/8500224. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 94007/8500242. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(^b.b))) 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. ------ 94008/8500251. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 94009/8500278. ------ 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. ------ 94010/8500323. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94011/8500332. ------ 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. ------ 94012/8500359. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 94013/8500467. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 94014/8500575. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 94015/8500602. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 94016/8500674. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.b) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) b)) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 94017/8500692. ------ 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 (^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. ------ 94018/8500719. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((b a) a)) REDUCED to normal form. ------ 94019/8500746. ------ 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. ------ 94020/8500773. ------ 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.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. ------ 94021/8500926. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 94022/8500953. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (^b.b))) 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))) REDUCED to normal form. ------ 94023/8500998. ------ 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. ------ 94024/8501088. ------ 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. ------ 94025/8501133. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 94026/8501160. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((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. ------ 94027/8501223. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) b)(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 94028/8501250. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)(b a))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(b a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(b a))) 5. ==[ beta ]==> (a ((^y.a)(b a))) 6. ==[ alpha ]==> (a ((^x.a)(b a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 94029/8501268. ------ 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))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 94030/8501277. ------ 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 (^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. ------ 94031/8501295. ------ 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)(^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. ------ 94032/8501304. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 94033/8501331. ------ 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))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 94034/8501349. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 94035/8501358. ------ 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.(^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. ------ 94036/8501646. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z) a)) 5. ==[ beta ]==> (a ((^z.z) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 94037/8501907. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(b a))) REDUCED to normal form. ------ 94038/8501934. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 94039/8502060. ------ 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. ------ 94040/8502078. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 94041/8502159. ------ 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. ------ 94042/8502222. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^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. ------ 94043/8502240. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 94044/8502249. ------ 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. ------ 94045/8502267. ------ 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)) REDUCED to normal form. ------ 94046/8502276. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 94047/8502294. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((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. ------ 94048/8502330. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a))(^b.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. ------ 94049/8502357. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 94050/8502384. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 94051/8502438. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 94052/8502528. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b (b a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b (b a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (b a))) 5. ==[ beta ]==> ((a (^y.y))(b (b a))) 6. ==[ alpha ]==> ((a (^x.x))(b (b a))) REDUCED to normal form. ------ 94053/8502555. ------ 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. ------ 94054/8502582. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) 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. ------ 94055/8502609. ------ 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 (^z.z)))) REDUCED to normal form. ------ 94056/8502636. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(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. ------ 94057/8502663. ------ 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. ------ 94058/8502843. ------ 1. ==[ start ]==> (((a b) b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 94059/8502888. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^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)))) REDUCED to normal form. ------ 94060/8502897. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 94061/8502915. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 94062/8502924. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 94063/8502969. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 11. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 12. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 94064/8502978. ------ 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. ------ 94065/8503005. ------ 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.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> (((^y.(^z.z))((a a) a))((^y.(^z.z))((a a) a))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 11. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94066/8503032. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a b)(a b))) REDUCED to normal form. ------ 94067/8503050. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(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. ------ 94068/8503059. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 94069/8503086. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 94070/8503275. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 94071/8503626. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 94072/8503671. ------ 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.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))) REDUCED to normal form. ------ 94073/8503707. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94074/8503734. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 94075/8503752. ------ 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) a)(^z.(z z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 94076/8503761. ------ 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. ------ 94077/8503788. ------ 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)(^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. ------ 94078/8503815. ------ 1. ==[ start ]==> ((((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) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(((a a) a)((a a) a))) REDUCED to normal form. ------ 94079/8504094. ------ 1. ==[ start ]==> ((a (b a))(c (a b))) REDUCED to normal form. ------ 94080/8504184. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a)) b)) 5. ==[ beta ]==> (b ((^z.(a a)) b)) 6. ==[ alpha ]==> (b ((^x.(a a)) b)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 94081/8504328. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (^y.b))) REDUCED to normal form. ------ 94082/8504400. ------ 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 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. ------ 94083/8504436. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 94084/8504454. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a)(^b.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. ------ 94085/8504463. ------ 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. ------ 94086/8504517. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 10. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 94087/8504535. ------ 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. ------ 94088/8504544. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.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. ------ 94089/8504571. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^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. ------ 94090/8504598. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 94091/8504643. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a b) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b) b)) REDUCED to normal form. ------ 94092/8504796. ------ 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. ------ 94093/8504823. ------ 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. ------ 94094/8504850. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a b)(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a b)(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a b)(a a))) 5. ==[ beta ]==> (((a a) a)((a b)(a a))) REDUCED to normal form. ------ 94095/8504877. ------ 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) a)(a (^z.z)))) REDUCED to normal form. ------ 94096/8504931. ------ 1. ==[ start ]==> ((a (a (^a.(^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. ------ 94097/8505102. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(^a.a))(^b.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. ------ 94098/8505210. ------ 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 a)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94099/8505219. ------ 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 (^x.(^y.y))) a)(a b)) REDUCED to normal form. ------ 94100/8505237. ------ 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. ------ 94101/8505246. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 94102/8505264. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 94103/8505327. ------ 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. ------ 94104/8505354. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.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. ------ 94105/8505408. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.b)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 94106/8505552. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 94107/8505579. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)((a a) a))) REDUCED to normal form. ------ 94108/8505813. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^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. ------ 94109/8506020. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.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. ------ 94110/8506128. ------ 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.(^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. ------ 94111/8506137. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 94112/8506164. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.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. ------ 94113/8506182. ------ 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)))) REDUCED to normal form. ------ 94114/8506191. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^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. ------ 94115/8506209. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.z1)))) 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. ------ 94116/8506218. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 94117/8506263. ------ 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)(^y.y))((a a)(^y.y)))((a (a a)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 94118/8506299. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.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. ------ 94119/8506326. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^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. ------ 94120/8506353. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(^b.(^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. ------ 94121/8506461. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (^y1.(y1 y1)))) REDUCED to normal form. ------ 94122/8506488. ------ 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. ------ 94123/8506659. ------ 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. ------ 94124/8506686. ------ 1. ==[ start ]==> (((a b)((a a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))(b ((^x.x) a))) 3. ==[ beta ]==> (((a b)((a a) a))(b a)) REDUCED to normal form. ------ 94125/8506713. ------ 1. ==[ start ]==> ((((^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)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a (a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 94126/8506740. ------ 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. ------ 94127/8506794. ------ 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 (^z.z)))((a a) a)) REDUCED to normal form. ------ 94128/8506884. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 94129/8507019. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 94130/8507127. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94131/8507163. ------ 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)))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 94132/8507190. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(b (^x.x))) REDUCED to normal form. ------ 94133/8507208. ------ 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)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 94134/8507235. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((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. ------ 94135/8507244. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^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. ------ 94136/8507271. ------ 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 (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 94137/8507289. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y) a)) 3. ==[ beta ]==> (((b a)(b a))((^y.y) a)) 4. ==[ alpha ]==> (((b a)(b a))((^x.x) a)) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 94138/8507315. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))((x x)(^x1.x1)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 94139/8507316. ------ 1. ==[ start ]==> (a ((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 94140/8514465. ------ 1. ==[ start ]==> ((^a.a)((^b.(^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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94141/8514492. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(b a))) 3. ==[ beta ]==> (((^y.(y y))(b a))((^y.(y y))(b a))) 4. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))(b a))) 5. ==[ beta ]==> (((b a)(b a))((^y.(y y))(b a))) 6. ==[ alpha ]==> (((b a)(b a))((^x.(x x))(b a))) 7. ==[ beta ]==> (((b a)(b a))((b a)(b a))) REDUCED to normal form. ------ 94142/8514519. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 94143/8514567. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 94144/8514576. ------ 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. ------ 94145/8514960. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 94146/8515410. ------ 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)(^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. ------ 94147/8515935. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((^x1.x1) b))) 5. ==[ beta ]==> (a (^z.((^x1.x1) b))) 6. ==[ alpha ]==> (a (^x.((^y.y) b))) 7. ==[ beta ]==> (a (^x.b)) REDUCED to normal form. ------ 94148/8516175. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 94149/8516250. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.(^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. ------ 94150/8516355. ------ 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. ------ 94151/8516538. ------ 1. ==[ start ]==> (((a b) a)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 94152/8516844. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 94153/8517123. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 94154/8517411. ------ 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)(a a))(^y.(y a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x a))) REDUCED to normal form. ------ 94155/8517624. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((((^z.a)(^x1.(a a)))((^z.a)(^x1.(a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(^y.(a a)))((^z.a)(^x1.(a a))))(^y1.y1)) 5. ==[ beta ]==> ((a ((^z.a)(^x1.(a a))))(^y1.y1)) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(a a))))(^z.z)) 7. ==[ beta ]==> ((a a)(^z.z)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 94156/8518194. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 94157/8518380. ------ 1. ==[ start ]==> ((^a.(b a))((^b.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. ------ 94158/8518662. ------ 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. ------ 94159/8519112. ------ 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. ------ 94160/8519310. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(a b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(a b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(a b))) 5. ==[ beta ]==> ((a a)(^z.(a b))) 6. ==[ alpha ]==> ((a a)(^x.(a b))) REDUCED to normal form. ------ 94161/8519820. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94162/8519895. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 94163/8520057. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((a a) a))) REDUCED to normal form. ------ 94164/8520135. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a))(^b.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. ------ 94165/8520894. ------ 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. ------ 94166/8521002. ------ 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.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 94167/8521110. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 94168/8521134. ------ 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 ((^y.a)(a a)))(((^z.a)(a a))((^x1.a)(a a)))) 6. ==[ alpha ]==> ((a ((^x.a)(a a)))(((^y.a)(a a))((^z.a)(a a)))) 7. ==[ beta ]==> ((a a)(((^y.a)(a a))((^z.a)(a a)))) 8. ==[ alpha ]==> ((a a)(((^x.a)(a a))((^y.a)(a a)))) 9. ==[ beta ]==> ((a a)(a ((^y.a)(a a)))) 10. ==[ alpha ]==> ((a a)(a ((^x.a)(a a)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 94169/8521416. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94170/8521452. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.b)) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.b)) 3. ==[ beta ]==> ((b b)(^y.b)) 4. ==[ alpha ]==> ((b b)(^x.b)) REDUCED to normal form. ------ 94171/8521533. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 94172/8521578. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(y y))) 3. ==[ beta ]==> (((b a)(b a))(^y.(y y))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(x x))) REDUCED to normal form. ------ 94173/8521617. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 94174/8521644. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(b a))) 3. ==[ beta ]==> ((a (a a))((b a)(b a))) REDUCED to normal form. ------ 94175/8521662. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 94176/8521671. ------ 1. ==[ start ]==> ((a b)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 94177/8521689. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 94178/8521716. ------ 1. ==[ start ]==> (((^a.a) b)((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 94179/8521725. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 94180/8521743. ------ 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. ------ 94181/8521770. ------ 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. ------ 94182/8521887. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 94183/8521914. ------ 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 (^x.x))(a a)) b) REDUCED to normal form. ------ 94184/8522058. ------ 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)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 94185/8522112. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a (^x.(x x)))(b (a a))) REDUCED to normal form. ------ 94186/8522220. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((^y.y)(a a))((^z.z)(^x1.x1)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 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. ------ 94187/8522247. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 94188/8522301. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(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. ------ 94189/8522328. ------ 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. ------ 94190/8522355. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 94191/8522409. ------ 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)((^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. ------ 94192/8522454. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 94193/8522481. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 94194/8522526. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((b b)(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 94195/8522562. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 94196/8522661. ------ 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. ------ 94197/8522715. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 94198/8522742. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.z))) REDUCED to normal form. ------ 94199/8522769. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) b) a)) 3. ==[ beta ]==> ((a (^y.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. ------ 94200/8522796. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 94201/8522823. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((b a) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a) c)) 5. ==[ beta ]==> ((^y.y)((b a) c)) 6. ==[ alpha ]==> ((^x.x)((b a) c)) 7. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 94202/8522886. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a))(^b.(^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 a)) REDUCED to normal form. ------ 94203/8522913. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 94204/8522967. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 94205/8523030. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 94206/8523084. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a ((^z.z) b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a ((^z.z) b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a ((^z.z) b))) 5. ==[ beta ]==> (a (a ((^z.z) b))) 6. ==[ alpha ]==> (a (a ((^x.x) b))) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 94207/8523120. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) 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. ------ 94208/8523165. ------ 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)(^x.x)) a)) REDUCED to normal form. ------ 94209/8523192. ------ 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. ------ 94210/8523246. ------ 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. ------ 94211/8523327. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.b))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 94212/8523372. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 94213/8523399. ------ 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. ------ 94214/8523426. ------ 1. ==[ start ]==> (((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 a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 94215/8523498. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 94216/8523507. ------ 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. ------ 94217/8523687. ------ 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. ------ 94218/8523714. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 94219/8523768. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) c)) REDUCED to normal form. ------ 94220/8523912. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a b))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 94221/8523939. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 94222/8523993. ------ 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.(^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. ------ 94223/8524065. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) 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. ------ 94224/8524110. ------ 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. ------ 94225/8524137. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((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. ------ 94226/8524191. ------ 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. ------ 94227/8524272. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 94228/8524308. ------ 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. ------ 94229/8524335. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 94230/8524362. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.a))) REDUCED to normal form. ------ 94231/8524416. ------ 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. ------ 94232/8524470. ------ 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. ------ 94233/8524497. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 94234/8524560. ------ 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. ------ 94235/8524641. ------ 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. ------ 94236/8524668. ------ 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. ------ 94237/8524722. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 94238/8524749. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.b))) 5. ==[ beta ]==> (((a a)(a a))((^y.b)(^y.b))) 6. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.b))) 7. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 94239/8524776. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(^b.(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. ------ 94240/8524812. ------ 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. ------ 94241/8524947. ------ 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. ------ 94242/8525028. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a b))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a b))) REDUCED to normal form. ------ 94243/8525055. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1)(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. ------ 94244/8525145. ------ 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.(^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. ------ 94245/8525172. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b)(^y.a))) REDUCED to normal form. ------ 94246/8525199. ------ 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. ------ 94247/8525226. ------ 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.(^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. ------ 94248/8525289. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)(a b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 94249/8525316. ------ 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.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. ------ 94250/8525343. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 94251/8525397. ------ 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.(^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. ------ 94252/8525424. ------ 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. ------ 94253/8525451. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 94254/8525478. ------ 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. ------ 94255/8525532. ------ 1. ==[ start ]==> ((a (b a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.b))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 94256/8525622. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (b (((^z.z)(a a))(a a))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(a a))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 94257/8525703. ------ 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. ------ 94258/8525811. ------ 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. ------ 94259/8525874. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a b)(^a.(^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. ------ 94260/8525901. ------ 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. ------ 94261/8525955. ------ 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. ------ 94262/8525982. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 94263/8526009. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 94264/8526036. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.(a a)))) REDUCED to normal form. ------ 94265/8526099. ------ 1. ==[ start ]==> (((a a)(b a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 94266/8526153. ------ 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))(^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)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 94267/8526180. ------ 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. ------ 94268/8526207. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 94269/8526234. ------ 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.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. ------ 94270/8526261. ------ 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. ------ 94271/8526378. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 94272/8526459. ------ 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 a))(^y.(a a)))((a a)(a b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(a b))) 5. ==[ beta ]==> ((a a)((a a)(a b))) REDUCED to normal form. ------ 94273/8526657. ------ 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. ------ 94274/8526684. ------ 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. ------ 94275/8526837. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b ((a a) a))) 3. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 94276/8526873. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.b) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.b) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b) a)) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 94277/8526900. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 94278/8526945. ------ 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 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. ------ 94279/8526972. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.x))(a (a (a a)))) REDUCED to normal form. ------ 94280/8527017. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b (^y.a))) REDUCED to normal form. ------ 94281/8527044. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a (^z.b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a (^z.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.b))) REDUCED to normal form. ------ 94282/8527098. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 94283/8527125. ------ 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. ------ 94284/8527152. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.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. ------ 94285/8527179. ------ 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. ------ 94286/8527206. ------ 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)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a) a)) REDUCED to normal form. ------ 94287/8527251. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94288/8527260. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a))(^a.(^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. ------ 94289/8527287. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a))(^b.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. ------ 94290/8527458. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 94291/8527575. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 94292/8527602. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a)(^b.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. ------ 94293/8527620. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c d)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c d)) 3. ==[ beta ]==> (((^y.y) b)(c d)) 4. ==[ alpha ]==> (((^x.x) b)(c d)) 5. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 94294/8527629. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 94295/8527656. ------ 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.(^z1.z1)))) REDUCED to normal form. ------ 94296/8527737. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1) a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1) a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a) c)) 5. ==[ beta ]==> ((^y.(a a))(((^z.z) a) c)) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y) a) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 94297/8527782. ------ 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. ------ 94298/8527818. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(^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. ------ 94299/8527845. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(b b)) REDUCED to normal form. ------ 94300/8527890. ------ 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 (^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. ------ 94301/8527962. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(a a))) 5. ==[ beta ]==> (((a a) b)((a a)(a a))) REDUCED to normal form. ------ 94302/8527989. ------ 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) REDUCED to normal form. ------ 94303/8528016. ------ 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))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 94304/8528043. ------ 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. ------ 94305/8528070. ------ 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))) 9. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 94306/8528097. ------ 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. ------ 94307/8528124. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^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. ------ 94308/8528151. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(z z))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 94309/8528232. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (^x1.a))) REDUCED to normal form. ------ 94310/8528259. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) 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. ------ 94311/8528286. ------ 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) REDUCED to normal form. ------ 94312/8528322. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 94313/8528457. ------ 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))) REDUCED to normal form. ------ 94314/8528565. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(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. ------ 94315/8528601. ------ 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. ------ 94316/8528628. ------ 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. ------ 94317/8528646. ------ 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. ------ 94318/8528673. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 94319/8528682. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 94320/8528709. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a a) a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 94321/8528727. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a (a a))) 3. ==[ beta ]==> (((b a)(b a))(a (a a))) REDUCED to normal form. ------ 94322/8529585. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 94323/8535930. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^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. ------ 94324/8535975. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 94325/8536011. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 94326/8536056. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a 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. ------ 94327/8536173. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^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 ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 94328/8536401. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((y y)(y y)))) REDUCED to normal form. ------ 94329/8536740. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 94330/8536743. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 94331/8536866. ------ 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.(^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. ------ 94332/8537391. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 94333/8537811. ------ 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 ]==> ((((^y.y)(a a))(^z.(z z))) b) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y))) b) 5. ==[ beta ]==> (((a a)(^y.(y y))) b) 6. ==[ alpha ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 94334/8538012. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 94335/8538198. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.b))((^z.(^x1.x1))(^y1.b)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.b))((^y1.(^z1.z1))(^x2.b)))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(^x2.b)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.b)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.b))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.b))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 94336/8538588. ------ 1. ==[ start ]==> (((a b) b)(^c.(b a))) 2. ==[ alpha ]==> (((a b) b)(^x.(b a))) REDUCED to normal form. ------ 94337/8539398. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 94338/8539650. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 94339/8540385. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(a a))(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 94340/8540982. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.x)(a (^y.(^z.z)))) a) 4. ==[ beta ]==> ((a (^y.(^z.z))) a) 5. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 94341/8541180. ------ 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))) REDUCED to normal form. ------ 94342/8541591. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (a a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (a a)) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 94343/8542098. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 94344/8542125. ------ 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)(^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)))(^z.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 94345/8542233. ------ 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. ------ 94346/8542590. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.((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))(((^y.y) a)(^z.z)))) 4. ==[ alpha ]==> (((((^x.x) a)(^y.y))(((^z.z) a)(^x1.x1)))((((^y1.y1) a)(^z1.z1))(((^x2.x2) a)(^y2.y2)))) 5. ==[ beta ]==> (((a (^y.y))(((^z.z) a)(^x1.x1)))((((^y1.y1) a)(^z1.z1))(((^x2.x2) a)(^y2.y2)))) 6. ==[ alpha ]==> (((a (^x.x))(((^y.y) a)(^z.z)))((((^x1.x1) a)(^y1.y1))(((^z1.z1) a)(^x2.x2)))) 7. ==[ beta ]==> (((a (^x.x))(a (^z.z)))((((^x1.x1) a)(^y1.y1))(((^z1.z1) a)(^x2.x2)))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((((^z.z) a)(^x1.x1))(((^y1.y1) a)(^z1.z1)))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^x1.x1))(((^y1.y1) a)(^z1.z1)))) 10. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(((^x1.x1) a)(^y1.y1)))) 11. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^y1.y1)))) 12. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 94347/8542872. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94348/8542935. ------ 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. ------ 94349/8542980. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 94350/8543016. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.b)) REDUCED to normal form. ------ 94351/8543034. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 94352/8543091. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^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. ------ 94353/8543118. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 94354/8543136. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(((^x.x) 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. ------ 94355/8543145. ------ 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))))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 94356/8543172. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 94357/8543217. ------ 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. ------ 94358/8543253. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 94359/8543280. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 94360/8543334. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 94361/8543415. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(^b.(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. ------ 94362/8543442. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 94363/8543496. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((^y.a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 94364/8543505. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 94365/8543523. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 94366/8543532. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b b)) REDUCED to normal form. ------ 94367/8543559. ------ 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)))) REDUCED to normal form. ------ 94368/8543595. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.b) b)) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 94369/8543667. ------ 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. ------ 94370/8543748. ------ 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. ------ 94371/8543775. ------ 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)((^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. ------ 94372/8543802. ------ 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. ------ 94373/8543829. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (b a))) REDUCED to normal form. ------ 94374/8543856. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 94375/8543874. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(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. ------ 94376/8543883. ------ 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. ------ 94377/8543901. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 94378/8543919. ------ 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. ------ 94379/8543946. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 94380/8543973. ------ 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. ------ 94381/8544000. ------ 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. ------ 94382/8544027. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 94383/8544036. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94384/8544063. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^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. ------ 94385/8544117. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 94386/8544171. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(b a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 7. ==[ beta ]==> ((^y.a)(b a)) 8. ==[ alpha ]==> ((^x.a)(b a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 94387/8544198. ------ 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 (^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. ------ 94388/8544252. ------ 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))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 94389/8544549. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(^b.b))) 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))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 94390/8544585. ------ 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))) REDUCED to normal form. ------ 94391/8544612. ------ 1. ==[ start ]==> ((((a a) a) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 94392/8544666. ------ 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. ------ 94393/8544693. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a b)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 94394/8544720. ------ 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. ------ 94395/8544747. ------ 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.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. ------ 94396/8544774. ------ 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. ------ 94397/8544891. ------ 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)))(^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))) REDUCED to normal form. ------ 94398/8544918. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((b a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 94399/8544945. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 94400/8544972. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a (a b))((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a b))((a a)(^x.(x x)))) REDUCED to normal form. ------ 94401/8544981. ------ 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. ------ 94402/8545062. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a b))) IRREDUCIBLE: cycle. ------ 94403/8545143. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 94404/8545170. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 94405/8545197. ------ 1. ==[ start ]==> (((^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))) 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. ------ 94406/8545332. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 94407/8545359. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 94408/8545485. ------ 1. ==[ start ]==> ((((^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)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1))) a)) 7. ==[ beta ]==> (a ((^y.(^z.(^x1.x1))) a)) 8. ==[ alpha ]==> (a ((^x.(^y.(^z.z))) a)) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 94409/8545530. ------ 1. ==[ start ]==> (((^a.b) b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((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. ------ 94410/8545539. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 94411/8545746. ------ 1. ==[ start ]==> (((a b) b)((a a)(b a))) REDUCED to normal form. ------ 94412/8545818. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 94413/8545872. ------ 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. ------ 94414/8545953. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (b ((^z.(z z))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 94415/8546052. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((b a) a)) REDUCED to normal form. ------ 94416/8546079. ------ 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)) REDUCED to normal form. ------ 94417/8546277. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 94418/8546421. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 94419/8546448. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) b)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) b)(^y.y)) 10. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 94420/8546475. ------ 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. ------ 94421/8546529. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(a a))) REDUCED to normal form. ------ 94422/8546556. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.b))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 94423/8546655. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 94424/8546754. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (^z.b))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.b))) REDUCED to normal form. ------ 94425/8546781. ------ 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 (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 94426/8546808. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 94427/8546835. ------ 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. ------ 94428/8546862. ------ 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)(a a)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a)) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) b)) 7. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) b)) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 9. ==[ beta ]==> (((^y.y)(a a)) b) 10. ==[ alpha ]==> (((^x.x)(a a)) b) 11. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 94429/8546889. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a b) c)) REDUCED to normal form. ------ 94430/8547231. ------ 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)(^x.x)) b)(a ((a a) a))) REDUCED to normal form. ------ 94431/8547276. ------ 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. ------ 94432/8547357. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 94433/8547438. ------ 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. ------ 94434/8547546. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 94435/8547564. ------ 1. ==[ start ]==> (((a a)(b a))((a b) b)) REDUCED to normal form. ------ 94436/8547753. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(a a)) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(a a)) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a)) a)) 5. ==[ beta ]==> (((a a) a)((^y.(a a)) a)) 6. ==[ alpha ]==> (((a a) a)((^x.(a a)) a)) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 94437/8547780. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.b) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 94438/8547825. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1) 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. ------ 94439/8547924. ------ 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 a))(^y.(a a)))(b (^z.b))) 4. ==[ alpha ]==> (((^x.(a 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. ------ 94440/8548005. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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) REDUCED to normal form. ------ 94441/8548113. ------ 1. ==[ start ]==> (((^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) 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. ------ 94442/8548140. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(a b))) 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. ------ 94443/8548167. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 94444/8548221. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(^a.a))(^b.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. ------ 94445/8548302. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^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. ------ 94446/8548311. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 94447/8548338. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a (a b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a (a b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (a b))) REDUCED to normal form. ------ 94448/8548365. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a) a)(a a))) REDUCED to normal form. ------ 94449/8548419. ------ 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) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a (a a)) a)) REDUCED to normal form. ------ 94450/8548536. ------ 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. ------ 94451/8548563. ------ 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)(^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. ------ 94452/8548590. ------ 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. ------ 94453/8548617. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((a b)(^x.x))(a (^z.(z z)))) 6. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 94454/8548644. ------ 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. ------ 94455/8548725. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 94456/8548752. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a)) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (a a)) c)) 3. ==[ beta ]==> ((a b)((a (a a)) c)) REDUCED to normal form. ------ 94457/8548761. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a))(^b.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. ------ 94458/8548788. ------ 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)(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((^z1.a)(^x2.(x2 x2)))) 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. ------ 94459/8548923. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d (^b.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. ------ 94460/8549031. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(^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. ------ 94461/8549085. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.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. ------ 94462/8549094. ------ 1. ==[ start ]==> (((a a)(^b.b))(c d)) 2. ==[ alpha ]==> (((a a)(^x.x))(c d)) REDUCED to normal form. ------ 94463/8549112. ------ 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.(^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. ------ 94464/8549166. ------ 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))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^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. ------ 94465/8549229. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(c a)) REDUCED to normal form. ------ 94466/8549247. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^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. ------ 94467/8549256. ------ 1. ==[ start ]==> (((a b)(^c.a))(b (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (a (a a)))) REDUCED to normal form. ------ 94468/8549283. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 94469/8549310. ------ 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))(a a))) REDUCED to normal form. ------ 94470/8549364. ------ 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 (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1)) a)) REDUCED to normal form. ------ 94471/8549391. ------ 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. ------ 94472/8549427. ------ 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. ------ 94473/8549454. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 94474/8549481. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a))(^b.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. ------ 94475/8549508. ------ 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. ------ 94476/8549535. ------ 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. ------ 94477/8549562. ------ 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. ------ 94478/8549589. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x)) c)) REDUCED to normal form. ------ 94479/8549643. ------ 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. ------ 94480/8549751. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a) 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. ------ 94481/8549787. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 94482/8549922. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.z))) 3. ==[ beta ]==> (b (c (^z.z))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 94483/8550030. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94484/8550066. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b (a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(b (a a))) 3. ==[ beta ]==> ((b b)(b (a a))) REDUCED to normal form. ------ 94485/8550093. ------ 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. ------ 94486/8550111. ------ 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. ------ 94487/8550138. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(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. ------ 94488/8550147. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 94489/8550174. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a b)) REDUCED to normal form. ------ 94490/8550192. ------ 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)(b a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 94491/8557494. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))(^b.b))) 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. ------ 94492/8557533. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 94493/8557884. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 94494/8557998. ------ 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. ------ 94495/8558559. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.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. ------ 94496/8559495. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 94497/8559504. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 94498/8559810. ------ 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 (^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))))) REDUCED to normal form. ------ 94499/8559888. ------ 1. ==[ start ]==> ((^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) a))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(a a))((^x1.x1) a))(((^z.z)(a a))((^x1.x1) a)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(a a))((^z.z) a))(((^x1.x1)(a a))((^y1.y1) a)))) 5. ==[ beta ]==> ((((^y.y)(a a))((^z.z) a))(((^x1.x1)(a a))((^y1.y1) a))) 6. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 7. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 8. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))((^z.z) a))) 9. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^z.z) a))) 10. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y) a))) 11. ==[ beta ]==> (((a a) a)((a a)((^y.y) a))) 12. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 13. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 94500/8560098. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 94501/8561868. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(a a)) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 94502/8562078. ------ 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)(z z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.((^z.z)(y y)))) 6. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(x x)))) 7. ==[ beta ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 94503/8562156. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1))((^z1.z1) a))(^y.(^z.z))) 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. ------ 94504/8562474. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(a x1))) 3. ==[ eta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 94505/8562663. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 94506/8563608. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.(^b.(^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. ------ 94507/8563968. ------ 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. ------ 94508/8564049. ------ 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))(^x.a)) REDUCED to normal form. ------ 94509/8564355. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^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. ------ 94510/8564418. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 94511/8564463. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 94512/8564472. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 94513/8564499. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(a a))) REDUCED to normal form. ------ 94514/8564517. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.a)) 3. ==[ beta ]==> (((b a)(b a))(^y.a)) 4. ==[ alpha ]==> (((b a)(b a))(^x.a)) REDUCED to normal form. ------ 94515/8564592. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 94516/8564619. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(b a))) 3. ==[ beta ]==> (((a a) a)((b a)(b a))) REDUCED to normal form. ------ 94517/8564637. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)(((^x.x) 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. ------ 94518/8564646. ------ 1. ==[ start ]==> (((a a)(^a.a))((^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) REDUCED to normal form. ------ 94519/8564664. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 94520/8564673. ------ 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))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 94521/8564700. ------ 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. ------ 94522/8564718. ------ 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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94523/8564727. ------ 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. ------ 94524/8564745. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^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. ------ 94525/8564754. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 94526/8564781. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.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. ------ 94527/8564862. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))(^c.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. ------ 94528/8564943. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 94529/8564997. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 94530/8565024. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^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. ------ 94531/8565087. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 94532/8565114. ------ 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 (^y1.y1)))) REDUCED to normal form. ------ 94533/8565141. ------ 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. ------ 94534/8565168. ------ 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. ------ 94535/8565375. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.y))) REDUCED to normal form. ------ 94536/8565528. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^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. ------ 94537/8565555. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((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. ------ 94538/8565609. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 94539/8565618. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 94540/8565645. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> (a ((^y.(y y))((a a)(^z.z)))) 6. ==[ alpha ]==> (a ((^x.(x x))((a a)(^y.y)))) 7. ==[ beta ]==> (a (((a a)(^y.y))((a a)(^y.y)))) 8. ==[ alpha ]==> (a (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 94541/8565672. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 94542/8565690. ------ 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.(^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. ------ 94543/8565699. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 94544/8565726. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.a))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.a))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 94545/8565744. ------ 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 (^y.y))(a (^y.y)))(((^z.z) 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. ------ 94546/8565753. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 94547/8565780. ------ 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.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 94548/8566302. ------ 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)))) 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. ------ 94549/8566329. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(b a))) REDUCED to normal form. ------ 94550/8566356. ------ 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. ------ 94551/8566455. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 94552/8566473. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 94553/8566554. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.b))) IRREDUCIBLE: cycle. ------ 94554/8566617. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.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. ------ 94555/8566644. ------ 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. ------ 94556/8566662. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))((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. ------ 94557/8566671. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 94558/8566689. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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) REDUCED to normal form. ------ 94559/8566779. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.(z z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 94560/8566806. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 94561/8566833. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 94562/8566950. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b (b a))) REDUCED to normal form. ------ 94563/8566977. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(a (a (^x1.(^y1.y1))))) 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. ------ 94564/8567004. ------ 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. ------ 94565/8567031. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 94566/8567058. ------ 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.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))) 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. ------ 94567/8567265. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 94568/8567283. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((b a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a a))((b a)(^y.y))) 5. ==[ beta ]==> ((a a)((b a)(^y.y))) 6. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 94569/8567310. ------ 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.(^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. ------ 94570/8567319. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 94571/8567364. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(z z)))) 9. ==[ beta ]==> ((^y.y)((a b)(^z.(z z)))) 10. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 11. ==[ beta ]==> ((a b)(^y.(y y))) 12. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 94572/8567373. ------ 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. ------ 94573/8567427. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^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. ------ 94574/8567445. ------ 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. ------ 94575/8567454. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 94576/8567481. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 94577/8567670. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)(^b.(^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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 94578/8568021. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (^z.(a a)))) REDUCED to normal form. ------ 94579/8568048. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 94580/8568102. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94581/8568129. ------ 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 a)) REDUCED to normal form. ------ 94582/8568147. ------ 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 ((a b)(^z.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 94583/8568156. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 94584/8568210. ------ 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)(^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. ------ 94585/8568579. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 94586/8568660. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a) d)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a) d)) 3. ==[ beta ]==> (b ((^z.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 94587/8568831. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(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 a)) REDUCED to normal form. ------ 94588/8568849. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a b)(^a.(^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. ------ 94589/8568858. ------ 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. ------ 94590/8568912. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^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. ------ 94591/8568930. ------ 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. ------ 94592/8568939. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 10. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 94593/8568966. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.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. ------ 94594/8568993. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^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. ------ 94595/8569038. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 94596/8569218. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (a b))) REDUCED to normal form. ------ 94597/8569245. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a ((^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. ------ 94598/8569272. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a b)(a a))) REDUCED to normal form. ------ 94599/8569326. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^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. ------ 94600/8569497. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a) a)(^a.(^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. ------ 94601/8569614. ------ 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))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 94602/8569632. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 94603/8569641. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a b)) REDUCED to normal form. ------ 94604/8569659. ------ 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. ------ 94605/8569722. ------ 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. ------ 94606/8569749. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 94607/8569803. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^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. ------ 94608/8569830. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 94609/8569902. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94610/8569947. ------ 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. ------ 94611/8569974. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 94612/8570001. ------ 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))) REDUCED to normal form. ------ 94613/8570208. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 94614/8570253. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 94615/8570415. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 94616/8570523. ------ 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))(^y2.y2))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(^x2.x2))(^y2.y2))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94617/8570532. ------ 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)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 94618/8570559. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((b a)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((b a)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 94619/8570577. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) a)(^b.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. ------ 94620/8570586. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.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. ------ 94621/8570604. ------ 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 (^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(z1 z1)))) 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. ------ 94622/8570613. ------ 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.(^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. ------ 94623/8570658. ------ 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)(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 94624/8570694. ------ 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))(^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. ------ 94625/8570721. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.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. ------ 94626/8570748. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^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. ------ 94627/8570775. ------ 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.(^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. ------ 94628/8570847. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 94629/8570883. ------ 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. ------ 94630/8570973. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c c)) 3. ==[ beta ]==> ((a (b a))(c c)) REDUCED to normal form. ------ 94631/8571081. ------ 1. ==[ start ]==> (((a b)((a a) a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(c (a (^x.x)))) REDUCED to normal form. ------ 94632/8571108. ------ 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)(^y.y))(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. ------ 94633/8571135. ------ 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. ------ 94634/8571189. ------ 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 (^y1.y1)))) REDUCED to normal form. ------ 94635/8571216. ------ 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. ------ 94636/8571279. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 94637/8571414. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 94638/8571522. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((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. ------ 94639/8571558. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 94640/8571585. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a)(^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. ------ 94641/8571603. ------ 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. ------ 94642/8571630. ------ 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) 7. ==[ beta ]==> b REDUCED to normal form. ------ 94643/8571639. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 94644/8571666. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.y1)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.y1)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 94645/8571684. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a) a)) 3. ==[ beta ]==> (((b a)(b a))((a a) a)) REDUCED to normal form. ------ 94646/8571876. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((^z.((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((^x.((a a)(a a)))(^y.y)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 94647/8572236. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((z z)(z z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 94648/8572560. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 94649/8578410. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((^y.(^z.(z z)))(^y.(^z.(z z))))((^y.(^z.(z z)))(^y.(^z.(z z))))) 4. ==[ alpha ]==> (((^x.(^y.(y y)))(^z.(^x1.(x1 x1))))((^y1.(^z1.(z1 z1)))(^x2.(^y2.(y2 y2))))) 5. ==[ beta ]==> ((^y.(y y))((^y1.(^z1.(z1 z1)))(^x2.(^y2.(y2 y2))))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(z z)))(^x1.(^y1.(y1 y1))))) 7. ==[ beta ]==> (((^y.(^z.(z z)))(^x1.(^y1.(y1 y1))))((^y.(^z.(z z)))(^x1.(^y1.(y1 y1))))) 8. ==[ alpha ]==> (((^x.(^y.(y y)))(^z.(^x1.(x1 x1))))((^y1.(^z1.(z1 z1)))(^x2.(^y2.(y2 y2))))) IRREDUCIBLE: cycle. ------ 94650/8578941. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1)))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 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. ------ 94651/8578968. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 94652/8579049. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((^z.z)((a a)(a a)))(^y.y)) 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. ------ 94653/8579052. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((a a)(a a)))) REDUCED to normal form. ------ 94654/8579238. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)(^x1.b))) 3. ==[ eta ]==> ((^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. ------ 94655/8579409. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a ((a a)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 94656/8579412. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((y y)(y y)))) REDUCED to normal form. ------ 94657/8579733. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 94658/8579736. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 94659/8580069. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 94660/8580291. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.(a a)))((^y.(^z.z))(^x1.(a a))))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a))))((^x2.(^y2.y2))(^z2.(a a)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.(a a))))((^x2.(^y2.y2))(^z2.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(a a))))((^y1.(^z1.z1))(^x2.(a a)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a)))((^y1.(^z1.z1))(^x2.(a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94661/8580624. ------ 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. ------ 94662/8580726. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(^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. ------ 94663/8580804. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a)) b) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 94664/8581014. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 94665/8581320. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 94666/8581887. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(y a))) REDUCED to normal form. ------ 94667/8582073. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((((^z.(z z))(^x1.b))((^z.(z z))(^x1.b)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))(^y.b))((^z.(z z))(^x1.b)))(^y1.y1)) 5. ==[ beta ]==> ((((^y.b)(^y.b))((^z.(z z))(^x1.b)))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.b)(^y.b))((^z.(z z))(^x1.b)))(^y1.y1)) 7. ==[ beta ]==> ((b ((^z.(z z))(^x1.b)))(^y1.y1)) 8. ==[ alpha ]==> ((b ((^x.(x x))(^y.b)))(^z.z)) 9. ==[ beta ]==> ((b ((^y.b)(^y.b)))(^z.z)) 10. ==[ alpha ]==> ((b ((^x.b)(^y.b)))(^z.z)) 11. ==[ beta ]==> ((b b)(^z.z)) 12. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 94668/8582670. ------ 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. ------ 94669/8582829. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))(^z.a))) 3. ==[ eta ]==> (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. ------ 94670/8582922. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (b (^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 94671/8583588. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 94672/8584269. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94673/8584371. ------ 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. ------ 94674/8584584. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^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. ------ 94675/8585262. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.(^b.(^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. ------ 94676/8585370. ------ 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)))) REDUCED to normal form. ------ 94677/8585478. ------ 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. ------ 94678/8585583. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a (^y.(y y)))) 3. ==[ beta ]==> (((a (^y.(y y)))(a (^y.(y y))))((a (^y.(y y)))(a (^y.(y y))))) 4. ==[ alpha ]==> (((a (^x.(x x)))(a (^y.(y y))))((a (^z.(z z)))(a (^x1.(x1 x1))))) REDUCED to normal form. ------ 94679/8585586. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 94680/8585757. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.b)(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 94681/8585946. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.(a (^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)))) REDUCED to normal form. ------ 94682/8585973. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 94683/8585982. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 94684/8586027. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.b)) 3. ==[ beta ]==> (((b a)(b a))(^y.b)) 4. ==[ alpha ]==> (((b a)(b a))(^x.b)) REDUCED to normal form. ------ 94685/8586120. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 94686/8586147. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(b a))) 3. ==[ beta ]==> ((a b)((b a)(b a))) REDUCED to normal form. ------ 94687/8586165. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(^a.(^a.(^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. ------ 94688/8586192. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.a))(^b.b))) 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. ------ 94689/8586201. ------ 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))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 94690/8586228. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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. ------ 94691/8586246. ------ 1. ==[ start ]==> (((a a) b)(((a a)(a a)) a)) REDUCED to normal form. ------ 94692/8586273. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b) b)) 3. ==[ beta ]==> (((a (^x.x)) a)(b b)) REDUCED to normal form. ------ 94693/8586390. ------ 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 (^x.x))(a a))(a a)) REDUCED to normal form. ------ 94694/8586417. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.b))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 94695/8586588. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a ((a a)(a a)))) REDUCED to normal form. ------ 94696/8586696. ------ 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. ------ 94697/8586723. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 94698/8586777. ------ 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. ------ 94699/8586804. ------ 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. ------ 94700/8586831. ------ 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. ------ 94701/8586885. ------ 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 (^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. ------ 94702/8586912. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 94703/8586957. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 94704/8586984. ------ 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. ------ 94705/8587002. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((b a)(^y.a))) 3. ==[ beta ]==> ((b b)((b a)(^y.a))) 4. ==[ alpha ]==> ((b b)((b a)(^x.a))) REDUCED to normal form. ------ 94706/8587137. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^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. ------ 94707/8587218. ------ 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))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 94708/8587245. ------ 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. ------ 94709/8587272. ------ 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. ------ 94710/8587299. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) b)) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 7. ==[ beta ]==> ((a (^y.(^z.z))) b) 8. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 94711/8587389. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) 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 a)) REDUCED to normal form. ------ 94712/8587416. ------ 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. ------ 94713/8587470. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 94714/8587560. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a (b (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (a (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 94715/8587596. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.b) 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. ------ 94716/8587623. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 94717/8587641. ------ 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. ------ 94718/8587668. ------ 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)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))((^z1.z1) 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. ------ 94719/8587677. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) d)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 94720/8587722. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((a b)((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)((a b)((^x.x)(^y.y)))) 9. ==[ beta ]==> ((a a)((a b)(^y.y))) 10. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 94721/8587803. ------ 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. ------ 94722/8587875. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b (^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. ------ 94723/8587902. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 94724/8587929. ------ 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.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a a))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 94725/8587974. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 94726/8587983. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 94727/8588136. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) 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. ------ 94728/8588190. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 94729/8588244. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a) b)) REDUCED to normal form. ------ 94730/8588388. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 94731/8588415. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 94732/8588442. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 94733/8588496. ------ 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)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (a ((^y.y)(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 94734/8588586. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 94735/8588613. ------ 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. ------ 94736/8588667. ------ 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)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 9. ==[ beta ]==> ((^y.y)((a a) a)) 10. ==[ alpha ]==> ((^x.x)((a a) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 94737/8588748. ------ 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 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. ------ 94738/8588811. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((b a)(^y.y))) REDUCED to normal form. ------ 94739/8588838. ------ 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.(^y1.y1)))) REDUCED to normal form. ------ 94740/8588892. ------ 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. ------ 94741/8588919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((((a a) a)(^y.(^z.z)))(((a a) a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 94742/8588946. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(^z.a)) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.a)) REDUCED to normal form. ------ 94743/8588973. ------ 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. ------ 94744/8589000. ------ 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)(^x.x))(a (^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 94745/8589036. ------ 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 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. ------ 94746/8589063. ------ 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. ------ 94747/8589144. ------ 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. ------ 94748/8589171. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 94749/8589198. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 94750/8589225. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))(^c.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. ------ 94751/8589252. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.b)(^z.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 94752/8589288. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(c ((^x1.x1)(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. ------ 94753/8589423. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 94754/8589432. ------ 1. ==[ start ]==> (((a b) c)((^a.b) d)) 2. ==[ alpha ]==> (((a b) c)((^x.b) d)) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 94755/8589504. ------ 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. ------ 94756/8589531. ------ 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) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) 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. ------ 94757/8589585. ------ 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. ------ 94758/8589621. ------ 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)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94759/8589648. ------ 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. ------ 94760/8589675. ------ 1. ==[ start ]==> (((a b)(^b.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 94761/8589702. ------ 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. ------ 94762/8589729. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 94763/8589765. ------ 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. ------ 94764/8589792. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(a b))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 94765/8589819. ------ 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.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. ------ 94766/8589846. ------ 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. ------ 94767/8589900. ------ 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. ------ 94768/8589927. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b)(^b.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. ------ 94769/8589981. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 94770/8590008. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((a (b a))((^y.a)(^y.a))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 94771/8590098. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (b (a ((a a)(^z.z)))) 6. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 94772/8590179. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((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. ------ 94773/8590287. ------ 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. ------ 94774/8590314. ------ 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.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. ------ 94775/8590350. ------ 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))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(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. ------ 94776/8590377. ------ 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. ------ 94777/8590431. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 94778/8590458. ------ 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. ------ 94779/8590485. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a))(a (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 94780/8590512. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.b))) REDUCED to normal form. ------ 94781/8590575. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 94782/8590602. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 94783/8590656. ------ 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. ------ 94784/8590683. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 94785/8590710. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 94786/8590737. ------ 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. ------ 94787/8590764. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^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. ------ 94788/8590854. ------ 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))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 94789/8590935. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))((a a) a))) 5. ==[ beta ]==> ((a a)((a (^z.z))((a a) a))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 94790/8591160. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.b))) REDUCED to normal form. ------ 94791/8591241. ------ 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. ------ 94792/8591313. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 94793/8591376. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.b) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 94794/8591421. ------ 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)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 94795/8591430. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 94796/8591448. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 94797/8591493. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 94798/8591520. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b (^c.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))) REDUCED to normal form. ------ 94799/8591547. ------ 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. ------ 94800/8591574. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 94801/8591601. ------ 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. ------ 94802/8591628. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.x))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a b)(^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> (((a b)(^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 94803/8591655. ------ 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. ------ 94804/8591682. ------ 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)(^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. ------ 94805/8591727. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((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. ------ 94806/8591763. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^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. ------ 94807/8591934. ------ 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. ------ 94808/8592051. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 94809/8592078. ------ 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. ------ 94810/8592105. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a)(^b.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. ------ 94811/8592132. ------ 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 (^y1.y1))(^z1.(z1 z1)))) REDUCED to normal form. ------ 94812/8592213. ------ 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 a) REDUCED to normal form. ------ 94813/8592240. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a c)) REDUCED to normal form. ------ 94814/8592258. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c ((^y.y) a))) 3. ==[ beta ]==> (b (c ((^y.y) a))) 4. ==[ alpha ]==> (b (c ((^x.x) a))) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 94815/8592267. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a)) d)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y)) d)) REDUCED to normal form. ------ 94816/8592321. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1)) 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. ------ 94817/8592366. ------ 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. ------ 94818/8592375. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 94819/8592438. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a (^b.(^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. ------ 94820/8592465. ------ 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))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 94821/8592492. ------ 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) REDUCED to normal form. ------ 94822/8592519. ------ 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. ------ 94823/8592546. ------ 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. ------ 94824/8592573. ------ 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. ------ 94825/8592600. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a)(^a.(^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. ------ 94826/8592627. ------ 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)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 94827/8592654. ------ 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. ------ 94828/8592735. ------ 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. ------ 94829/8592762. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(a (^x.(x x)))) REDUCED to normal form. ------ 94830/8592798. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c b)) 3. ==[ beta ]==> ((^y.y)(c b)) 4. ==[ alpha ]==> ((^x.x)(c b)) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 94831/8592933. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(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. ------ 94832/8593041. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(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. ------ 94833/8593077. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (^y.y)) a)) 3. ==[ beta ]==> ((b b)((a (^y.y)) a)) 4. ==[ alpha ]==> ((b b)((a (^x.x)) a)) REDUCED to normal form. ------ 94834/8593104. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a) b)) REDUCED to normal form. ------ 94835/8593122. ------ 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. ------ 94836/8593149. ------ 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)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 94837/8593158. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 94838/8593185. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a a)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 94839/8593203. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a b)) 3. ==[ beta ]==> (((b a)(b a))(a b)) REDUCED to normal form. ------ 94840/8593265. ------ 1. ==[ start ]==> (^a.(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (^x.(((x x) x)(^y.(x x)))) REDUCED to normal form. ------ 94841/8593266. ------ 1. ==[ start ]==> (a (((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (a (((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 94842/8593764. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 94843/8597733. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 94844/8600445. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a))) a) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 94845/8600451. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)(((a 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. ------ 94846/8600541. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.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. ------ 94847/8600598. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 94848/8600949. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 94849/8601270. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 94850/8601396. ------ 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))(^y1.(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. ------ 94851/8601624. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(x x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.z)) 5. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 94852/8601957. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((^x1.x1) b))) 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))) 7. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 94853/8602341. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.a)) b) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 94854/8602569. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((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)))) REDUCED to normal form. ------ 94855/8602728. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.a))((^z.a)(^x1.a)))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.a))((^x1.a)(^y1.a)))) 5. ==[ beta ]==> (^x.(a ((^x1.a)(^y1.a)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.a)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 94856/8603163. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 94857/8603424. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(^d.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.a))) REDUCED to normal form. ------ 94858/8604459. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 94859/8604915. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1)(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 94860/8604918. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^x1.(a a))) REDUCED to normal form. ------ 94861/8605539. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(a z))) 3. ==[ eta ]==> (((^x.(^y.y))(b a)) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 94862/8605737. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(z b))) REDUCED to normal form. ------ 94863/8606121. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 94864/8606538. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 94865/8606682. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 94866/8607294. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 94867/8607438. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.c)) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.c)) 3. ==[ beta ]==> ((b b)(^y.c)) 4. ==[ alpha ]==> ((b b)(^x.c)) REDUCED to normal form. ------ 94868/8607483. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 94869/8607519. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 94870/8607564. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(a a))) 3. ==[ beta ]==> (((b a)(b a))(^y.(a a))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(a a))) REDUCED to normal form. ------ 94871/8607627. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 94872/8607639. ------ 1. ==[ start ]==> ((a a)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 94873/8607675. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))((a a)(^a.a)))) 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. ------ 94874/8607702. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(b a))) 3. ==[ beta ]==> ((a a)((^y.(y y))(b a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(b a))) 5. ==[ beta ]==> ((a a)((b a)(b a))) REDUCED to normal form. ------ 94875/8607729. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 94876/8607747. ------ 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. ------ 94877/8607783. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 94878/8607837. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.b)(^a.(^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. ------ 94879/8607864. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 94880/8607972. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((^y.a)((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((^x.a)((^y.b)(^z.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 94881/8608080. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 94882/8608116. ------ 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 (^x.x))(b b)) REDUCED to normal form. ------ 94883/8608179. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 94884/8608224. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((b a)((^y.y) a))) 3. ==[ beta ]==> ((a a)((b a)((^y.y) a))) 4. ==[ alpha ]==> ((a a)((b a)((^x.x) a))) 5. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 94885/8608305. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a b)((a a) a))) 3. ==[ beta ]==> ((a b)((a b)((a a) a))) REDUCED to normal form. ------ 94886/8608332. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a) a)(a b))) REDUCED to normal form. ------ 94887/8608359. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 94888/8608386. ------ 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. ------ 94889/8608413. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(b a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 94890/8608440. ------ 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. ------ 94891/8608458. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 94892/8608503. ------ 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. ------ 94893/8608530. ------ 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. ------ 94894/8608557. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((b a)(^x.a))) REDUCED to normal form. ------ 94895/8608584. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 94896/8608593. ------ 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. ------ 94897/8608620. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^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. ------ 94898/8608728. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((a a)(^x1.x1)))) 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. ------ 94899/8608755. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^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. ------ 94900/8608809. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^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. ------ 94901/8608881. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 94902/8609052. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 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. ------ 94903/8609106. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 94904/8609142. ------ 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. ------ 94905/8609169. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 94906/8609223. ------ 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)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1)) a)) REDUCED to normal form. ------ 94907/8609250. ------ 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. ------ 94908/8609277. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a b)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((a b)(^y.y))) REDUCED to normal form. ------ 94909/8609304. ------ 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. ------ 94910/8609331. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a b))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a b)) REDUCED to normal form. ------ 94911/8609475. ------ 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 (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 94912/8609502. ------ 1. ==[ start ]==> ((((a a) a)(a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 94913/8609529. ------ 1. ==[ start ]==> ((a (a b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 94914/8609538. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 94915/8609700. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 94916/8609727. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^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. ------ 94917/8609754. ------ 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 (^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. ------ 94918/8609889. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 94919/8609916. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 94920/8610069. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.(^x1.x1))) 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. ------ 94921/8610087. ------ 1. ==[ start ]==> (((^a.b) b)((b a)(a a))) 2. ==[ alpha ]==> (((^x.b) b)((b a)(a a))) 3. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 94922/8610294. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 94923/8610303. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 94924/8610330. ------ 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. ------ 94925/8610348. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(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. ------ 94926/8610429. ------ 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 a))((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))((^y1.y1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))((^y1.y1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((^x1.x1) a))) 9. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 11. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 12. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 94927/8610510. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^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. ------ 94928/8610636. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((b a) a)) 3. ==[ beta ]==> ((a ((a a) a))((b a) a)) REDUCED to normal form. ------ 94929/8610663. ------ 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. ------ 94930/8610834. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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. ------ 94931/8610978. ------ 1. ==[ start ]==> (((a b) c)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((a b)((^x.x) a))) 3. ==[ beta ]==> (((a b) c)((a b) a)) REDUCED to normal form. ------ 94932/8611005. ------ 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. ------ 94933/8611032. ------ 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.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.z))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 94934/8611086. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (a b))) REDUCED to normal form. ------ 94935/8611113. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.b))((a (^y.y))(a a))) REDUCED to normal form. ------ 94936/8611131. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(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. ------ 94937/8611212. ------ 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 a)) REDUCED to normal form. ------ 94938/8611338. ------ 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) a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) 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. ------ 94939/8611365. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 94940/8611419. ------ 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)(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1)) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z)) a)) 7. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) a)) 8. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 9. ==[ beta ]==> (((a a)(^y.y)) a) 10. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 94941/8611446. ------ 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. ------ 94942/8611473. ------ 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. ------ 94943/8611644. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(^c.(^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)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 94944/8611788. ------ 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. ------ 94945/8611833. ------ 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. ------ 94946/8611860. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 94947/8611914. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(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 a)) REDUCED to normal form. ------ 94948/8611995. ------ 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. ------ 94949/8612103. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 94950/8612121. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(a a)) a)) 3. ==[ beta ]==> (((a a)(b a))((a a) a)) REDUCED to normal form. ------ 94951/8612148. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a b) b)) REDUCED to normal form. ------ 94952/8612337. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 94953/8612382. ------ 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))(((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. ------ 94954/8612481. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (^z.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (^z.a))) 5. ==[ beta ]==> ((a a)(c (^z.a))) 6. ==[ alpha ]==> ((a a)(c (^x.a))) REDUCED to normal form. ------ 94955/8612562. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (b ((^x1.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 94956/8612670. ------ 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)(^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. ------ 94957/8612697. ------ 1. ==[ start ]==> (((^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))) 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. ------ 94958/8612724. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 94959/8612859. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.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. ------ 94960/8612868. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(c (^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 94961/8612895. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b ((a a) a))) REDUCED to normal form. ------ 94962/8612922. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (a b))) REDUCED to normal form. ------ 94963/8612976. ------ 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)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.x1))) REDUCED to normal form. ------ 94964/8613120. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(a b))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 94965/8613147. ------ 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. ------ 94966/8613174. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (a a))(^b.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. ------ 94967/8613201. ------ 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. ------ 94968/8613228. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 94969/8613282. ------ 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. ------ 94970/8613309. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((a b)(((^x.x)(^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. ------ 94971/8613318. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^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. ------ 94972/8613345. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(z1 z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^z1.(z1 z1))(^x2.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. ------ 94973/8613642. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> (b ((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 94974/8613669. ------ 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)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1) 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. ------ 94975/8613723. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.x1))) 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. ------ 94976/8613804. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.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. ------ 94977/8613813. ------ 1. ==[ start ]==> (((a b)(^c.a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.a))(c a)) REDUCED to normal form. ------ 94978/8613840. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 94979/8613867. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.z))) REDUCED to normal form. ------ 94980/8613921. ------ 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. ------ 94981/8613948. ------ 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. ------ 94982/8614011. ------ 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. ------ 94983/8614038. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b 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. ------ 94984/8614065. ------ 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. ------ 94985/8614092. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.(z z)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.(y y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 94986/8614119. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (a a)) a)) REDUCED to normal form. ------ 94987/8614146. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x) a) b)) 3. ==[ beta ]==> (((a b)((a a) a))(a b)) REDUCED to normal form. ------ 94988/8614254. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 94989/8614281. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y)) c)) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 94990/8614344. ------ 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 REDUCED to normal form. ------ 94991/8614479. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 94992/8614587. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^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. ------ 94993/8614623. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a c)) 2. ==[ alpha ]==> ((((^x.x) b) b)(a c)) 3. ==[ beta ]==> ((b b)(a c)) REDUCED to normal form. ------ 94994/8614650. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b (a a))) REDUCED to normal form. ------ 94995/8614668. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)(^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. ------ 94996/8614695. ------ 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 (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 94997/8614704. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 94998/8614731. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b a)) REDUCED to normal form. ------ 94999/8614749. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)(a a))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)(a a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)(a a))) 5. ==[ beta ]==> (((b a)(b a))(a a)) REDUCED to normal form. ------ 95000/8614812. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 95001/8622000. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a))) b) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a))) b) REDUCED to normal form. ------ 95002/8622024. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95003/8622105. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 95004/8622171. ------ 1. ==[ start ]==> (((a a) b)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 95005/8622531. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 95006/8622609. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((b a)((^y.y) a))) 3. ==[ beta ]==> (((b a)((^y.y) a))(((b a)((^y.y) a))((b a)((^y.y) a)))) 4. ==[ alpha ]==> (((b a)((^x.x) a))(((b a)((^y.y) a))((b a)((^z.z) a)))) 5. ==[ beta ]==> (((b a) a)(((b a)((^y.y) a))((b a)((^z.z) a)))) 6. ==[ alpha ]==> (((b a) a)(((b a)((^x.x) a))((b a)((^y.y) a)))) 7. ==[ beta ]==> (((b a) a)(((b a) a)((b a)((^y.y) a)))) 8. ==[ alpha ]==> (((b a) a)(((b a) a)((b a)((^x.x) a)))) 9. ==[ beta ]==> (((b a) a)(((b a) a)((b a) a))) REDUCED to normal form. ------ 95007/8623197. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 95008/8623521. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(^b.b))) 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. ------ 95009/8624448. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 95010/8624499. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((((a a)(^z.z))(a (^x1.x1)))(((a a)(^z.z))(a (^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((((a a)(^y.y))(a (^z.z)))(((a a)(^x1.x1))(a (^y1.y1))))) 5. ==[ beta ]==> ((((a a)(^y.y))(a (^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 95011/8624736. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 95012/8626275. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 95013/8626479. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 95014/8626716. ------ 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.x1)(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 95015/8626767. ------ 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 ]==> ((((a a) a)(a (^x1.x1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 95016/8627103. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 95017/8627301. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.z))) REDUCED to normal form. ------ 95018/8627370. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95019/8627652. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 95020/8627976. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.z))) REDUCED to normal form. ------ 95021/8628246. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 95022/8628363. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.(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)))) REDUCED to normal form. ------ 95023/8628684. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a)((^y.y) a))) 3. ==[ beta ]==> ((((a a)((^y.y) a))((a a)((^y.y) a)))(((a a)((^y.y) a))((a a)((^y.y) a)))) 4. ==[ alpha ]==> ((((a a)((^x.x) a))((a a)((^y.y) a)))(((a a)((^z.z) a))((a a)((^x1.x1) a)))) 5. ==[ beta ]==> ((((a a) a)((a a)((^y.y) a)))(((a a)((^z.z) a))((a a)((^x1.x1) a)))) 6. ==[ alpha ]==> ((((a a) a)((a a)((^x.x) a)))(((a a)((^y.y) a))((a a)((^z.z) a)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(((a a)((^y.y) a))((a a)((^z.z) a)))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)((^x.x) a))((a a)((^y.y) a)))) 9. ==[ beta ]==> ((((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)((^x.x) a)))) 11. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 95024/8628858. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 95025/8629002. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(a (^z.z)))) 3. ==[ beta ]==> ((b b)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((b b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 95026/8629110. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 95027/8629128. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 95028/8629191. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 95029/8629221. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 95030/8629257. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 95031/8629284. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a a)(^x.x))((b a)(b a))) REDUCED to normal form. ------ 95032/8629302. ------ 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))))) 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. ------ 95033/8629311. ------ 1. ==[ start ]==> (((^a.a) b)((^b.a)(a (^a.(^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))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 95034/8629338. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 95035/8629365. ------ 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. ------ 95036/8629383. ------ 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)(((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. ------ 95037/8629410. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b) 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. ------ 95038/8629419. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 95039/8629446. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 95040/8629500. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 95041/8629581. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 95042/8629608. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))(^c.(^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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 95043/8629662. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 95044/8629689. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))(^b.b))) 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. ------ 95045/8629725. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a ((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)(a ((a a)(a a)))) REDUCED to normal form. ------ 95046/8629752. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (a a))) REDUCED to normal form. ------ 95047/8629779. ------ 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. ------ 95048/8629806. ------ 1. ==[ start ]==> ((a (a (a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((b a)((^x.x) a))) 3. ==[ beta ]==> ((a (a (a a)))((b a) a)) REDUCED to normal form. ------ 95049/8630049. ------ 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. ------ 95050/8630121. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 95051/8630166. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95052/8630193. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^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. ------ 95053/8630247. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 95054/8630256. ------ 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) REDUCED to normal form. ------ 95055/8630283. ------ 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.y1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 95056/8630310. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 95057/8630337. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 95058/8630364. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 95059/8630382. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 95060/8630391. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 95061/8630418. ------ 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)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95062/8630715. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(^b.b))) 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))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 95063/8630760. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 95064/8630940. ------ 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. ------ 95065/8630967. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 95066/8630994. ------ 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))) REDUCED to normal form. ------ 95067/8631021. ------ 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))))) 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. ------ 95068/8631111. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.b)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 95069/8631255. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a) b)((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((((a a) a) b)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((((a a) a) b)((a a)(a a))) REDUCED to normal form. ------ 95070/8631273. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 95071/8631282. ------ 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. ------ 95072/8631309. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 95073/8631327. ------ 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.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.(^y1.y1))))) 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. ------ 95074/8631363. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 95075/8631381. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((b a) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((b a) b)) REDUCED to normal form. ------ 95076/8631417. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 95077/8631444. ------ 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 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 95078/8631471. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 95079/8631615. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (b a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (b a))) 5. ==[ beta ]==> (((^y.y) a)(b (b a))) 6. ==[ alpha ]==> (((^x.x) a)(b (b a))) 7. ==[ beta ]==> (a (b (b a))) REDUCED to normal form. ------ 95080/8631642. ------ 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))))) REDUCED to normal form. ------ 95081/8631669. ------ 1. ==[ start ]==> (((a b)(a a))((b a)(a a))) REDUCED to normal form. ------ 95082/8631696. ------ 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 (a a))(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 95083/8631705. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z)) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 95084/8631876. ------ 1. ==[ start ]==> (((a b) b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 95085/8631930. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 95086/8631948. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 95087/8632002. ------ 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.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.a))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.a))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 11. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 12. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 13. ==[ beta ]==> ((a a)(^y.a)) 14. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 95088/8632011. ------ 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. ------ 95089/8632038. ------ 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. ------ 95090/8632065. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 95091/8632083. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^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. ------ 95092/8632092. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 95093/8632119. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a b))) 5. ==[ beta ]==> (((a a)(^x.x))((a b)(a b))) REDUCED to normal form. ------ 95094/8632308. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 95095/8632542. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 95096/8632686. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.b))(c (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(c (^y.(a a)))) REDUCED to normal form. ------ 95097/8632785. ------ 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.(^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. ------ 95098/8632794. ------ 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 a)) REDUCED to normal form. ------ 95099/8632821. ------ 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)((^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. ------ 95100/8633298. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.b) c)) 3. ==[ beta ]==> (b ((^z.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 95101/8633469. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 95102/8633487. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (((a b)(a b))((a a)(^y.y))) 6. ==[ alpha ]==> (((a b)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 95103/8633496. ------ 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. ------ 95104/8633550. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 95105/8633568. ------ 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. ------ 95106/8633577. ------ 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. ------ 95107/8633604. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 11. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 12. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 95108/8633631. ------ 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)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 95109/8633676. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.(a a)))) REDUCED to normal form. ------ 95110/8633856. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c ((a a) a))) REDUCED to normal form. ------ 95111/8633883. ------ 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. ------ 95112/8633910. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 95113/8633964. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 95114/8634135. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (b ((a b)(^x1.x1))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 95115/8634243. ------ 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.(^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. ------ 95116/8634252. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 95117/8634279. ------ 1. ==[ start ]==> (((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) 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. ------ 95118/8634297. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a)(^z.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.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. ------ 95119/8634351. ------ 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 a))((^y.y)(a a)))(((a a) a) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a) a) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a) a) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a) b)) 7. ==[ beta ]==> (((a a)(a a))(((a a) a) b)) REDUCED to normal form. ------ 95120/8634360. ------ 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. ------ 95121/8634387. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(^a.a))(^b.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. ------ 95122/8634441. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.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. ------ 95123/8634495. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.b)) REDUCED to normal form. ------ 95124/8634567. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 95125/8634585. ------ 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) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a (a a)) a)) REDUCED to normal form. ------ 95126/8634612. ------ 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)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a (a (a a)))) REDUCED to normal form. ------ 95127/8634639. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 95128/8634666. ------ 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. ------ 95129/8634846. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 95130/8634891. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 95131/8635053. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^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. ------ 95132/8635170. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.a))) REDUCED to normal form. ------ 95133/8635197. ------ 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)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 95134/8635215. ------ 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. ------ 95135/8635224. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 95136/8635242. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.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. ------ 95137/8635251. ------ 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)((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 95138/8635296. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 95139/8635332. ------ 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))(^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. ------ 95140/8635359. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a))(^a.(^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. ------ 95141/8635377. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^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. ------ 95142/8635386. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 95143/8635413. ------ 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.(^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. ------ 95144/8635440. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 95145/8635485. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 95146/8635521. ------ 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. ------ 95147/8635557. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a) b)((a a)(a (a a)))) REDUCED to normal form. ------ 95148/8635773. ------ 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. ------ 95149/8635827. ------ 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. ------ 95150/8635854. ------ 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. ------ 95151/8635881. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a a)((^x.x) a))) 3. ==[ beta ]==> ((a ((a a)(a a)))((a a) a)) REDUCED to normal form. ------ 95152/8635917. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 95153/8636052. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 95154/8636160. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((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. ------ 95155/8636196. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 95156/8636223. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 95157/8636241. ------ 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. ------ 95158/8636268. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^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. ------ 95159/8636277. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 95160/8636304. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 95161/8636322. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)(^y.y))) 3. ==[ beta ]==> (((b a)(b a))((a a)(^y.y))) 4. ==[ alpha ]==> (((b a)(b a))((a a)(^x.x))) REDUCED to normal form. ------ 95162/8636385. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 95163/8636402. ------ 1. ==[ start ]==> (^a.((^a.b)(a b))) 2. ==[ alpha ]==> (^x.((^y.b)(x b))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 95164/8636403. ------ 1. ==[ start ]==> (a ((^a.b)(a b))) 2. ==[ alpha ]==> (a ((^x.b)(a b))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 95165/8643582. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a))) c) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a))) c) REDUCED to normal form. ------ 95166/8643600. ------ 1. ==[ start ]==> (((^a.b)(a b)) a) 2. ==[ alpha ]==> (((^x.b)(a b)) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 95167/8643606. ------ 1. ==[ start ]==> ((^a.a)((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.x)((^y.b)(a b))) 3. ==[ beta ]==> ((^y.b)(a b)) 4. ==[ alpha ]==> ((^x.b)(a b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 95168/8643660. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 95169/8643741. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^z.(^x1.x1))((^y1.y1) b))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 95170/8643762. ------ 1. ==[ start ]==> (((a a) b)(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 95171/8643930. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))(^x1.a))) 3. ==[ eta ]==> ((^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. ------ 95172/8644101. ------ 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. ------ 95173/8644122. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 95174/8644425. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 95175/8645316. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 95176/8645445. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(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. ------ 95177/8646039. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 95178/8646606. ------ 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))) REDUCED to normal form. ------ 95179/8646765. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(^y1.a))((^z.(^x1.x1))(^y1.a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a)))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.a)))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.a)))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.a))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 95180/8647389. ------ 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 a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((a a)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 9. ==[ beta ]==> (^y.((a a)(^z.z))) 10. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 95181/8647521. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ eta ]==> (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. ------ 95182/8648091. ------ 1. ==[ start ]==> (((a a)(b a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(b a))(^x.(a a))) REDUCED to normal form. ------ 95183/8648307. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 95184/8648961. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95185/8649090. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.b))) 5. ==[ beta ]==> ((a b)(^y.(^z.b))) 6. ==[ alpha ]==> ((a b)(^x.(^y.b))) REDUCED to normal form. ------ 95186/8649243. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 95187/8649252. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.((a a) a))) REDUCED to normal form. ------ 95188/8649276. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 95189/8649981. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 95190/8650089. ------ 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. ------ 95191/8650275. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b (^y.a))) 3. ==[ beta ]==> (((b (^y.a))(b (^y.a)))((b (^y.a))(b (^y.a)))) 4. ==[ alpha ]==> (((b (^x.a))(b (^y.a)))((b (^z.a))(b (^x1.a)))) REDUCED to normal form. ------ 95192/8650593. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 95193/8650665. ------ 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)(^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. ------ 95194/8650701. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.y1)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 95195/8650782. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 95196/8650800. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.a)) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 95197/8650812. ------ 1. ==[ start ]==> ((a a)((^a.b)(a b))) 2. ==[ alpha ]==> ((a a)((^x.b)(a b))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 95198/8650830. ------ 1. ==[ start ]==> (((^a.a) a)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((a 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. ------ 95199/8650866. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 95200/8650911. ------ 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. ------ 95201/8650920. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 95202/8650938. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(^b.b))) 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. ------ 95203/8650947. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 95204/8650965. ------ 1. ==[ start ]==> (((a a) b)((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a) b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 95205/8650992. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(a a)) a)) REDUCED to normal form. ------ 95206/8651019. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 95207/8651136. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 95208/8651307. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b ((^y.y) b))) 3. ==[ beta ]==> ((a (^x.(x x)))(b b)) REDUCED to normal form. ------ 95209/8651415. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)((^z.z) a))) 3. ==[ beta ]==> ((^y.(y y))((b a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.(x x))((b a)((^y.y) a))) 5. ==[ beta ]==> (((b a)((^y.y) a))((b a)((^y.y) 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. ------ 95210/8651442. ------ 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. ------ 95211/8651496. ------ 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 ]==> (((^y.y)(^y.y))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 95212/8651523. ------ 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. ------ 95213/8651550. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 95214/8651604. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(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. ------ 95215/8651631. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 95216/8651649. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (^b.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 95217/8651703. ------ 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. ------ 95218/8651721. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b b)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b b)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 95219/8651730. ------ 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 (^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. ------ 95220/8651856. ------ 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. ------ 95221/8651883. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(a a)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(a a)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(a a)))) 9. ==[ beta ]==> (a (^y.(a a))) 10. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 95222/8651910. ------ 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. ------ 95223/8651964. ------ 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))))) REDUCED to normal form. ------ 95224/8651991. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 95225/8652018. ------ 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. ------ 95226/8652054. ------ 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)(^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. ------ 95227/8652135. ------ 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. ------ 95228/8652162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 95229/8652279. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (b a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (b a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (b a))) 5. ==[ beta ]==> (a (c (b a))) REDUCED to normal form. ------ 95230/8652342. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.b) a)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x) a)) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 95231/8652360. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.(^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))) REDUCED to normal form. ------ 95232/8652387. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^y1.y1)))) 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. ------ 95233/8652441. ------ 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. ------ 95234/8652522. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(a b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(a b))) 5. ==[ beta ]==> ((a (^x.b))(a b)) REDUCED to normal form. ------ 95235/8652621. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b (^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. ------ 95236/8652648. ------ 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))) REDUCED to normal form. ------ 95237/8652675. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.(^z.z)))(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. ------ 95238/8652693. ------ 1. ==[ start ]==> (((^a.b) a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 95239/8652855. ------ 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. ------ 95240/8652882. ------ 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. ------ 95241/8652963. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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)) REDUCED to normal form. ------ 95242/8652990. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((b a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((b a) b)) REDUCED to normal form. ------ 95243/8653017. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a)(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z)) c)) 5. ==[ beta ]==> ((^y.a)(((a a)(^z.z)) c)) 6. ==[ alpha ]==> ((^x.a)(((a a)(^y.y)) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 95244/8653107. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 95245/8653134. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^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. ------ 95246/8653161. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x))((^z.(a a))(^z.(a a)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(a a)))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 95247/8653188. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.a)(^c.(^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. ------ 95248/8653242. ------ 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 (^x.x)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 95249/8653260. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b) 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 (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 95250/8653305. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 95251/8653332. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^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. ------ 95252/8653386. ------ 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)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 95253/8653467. ------ 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.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. ------ 95254/8653521. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)(b a))) 5. ==[ beta ]==> ((a a)((a a)(b a))) REDUCED to normal form. ------ 95255/8653557. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((b a)(^z.z))) REDUCED to normal form. ------ 95256/8653611. ------ 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. ------ 95257/8653638. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))((a b)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.(x x))((a b)(^y.(y y)))) 7. ==[ beta ]==> (((a b)(^y.(y y)))((a b)(^y.(y y)))) 8. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 95258/8653665. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 95259/8653692. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 95260/8653719. ------ 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. ------ 95261/8653755. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 95262/8653782. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 95263/8653809. ------ 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. ------ 95264/8653890. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(a a))(^b.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. ------ 95265/8653908. ------ 1. ==[ start ]==> (((^a.b) c)((a b) d)) 2. ==[ alpha ]==> (((^x.b) c)((a b) d)) 3. ==[ beta ]==> (b ((a b) d)) REDUCED to normal form. ------ 95266/8653917. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 95267/8653971. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 95268/8654142. ------ 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. ------ 95269/8654151. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a)) c)) 2. ==[ alpha ]==> (((a b) c)((^x.(a a)) c)) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 95270/8654223. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^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))((^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. ------ 95271/8654250. ------ 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. ------ 95272/8654304. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a (^x.x))(a a))) REDUCED to normal form. ------ 95273/8654367. ------ 1. ==[ start ]==> ((((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))) REDUCED to normal form. ------ 95274/8654394. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 95275/8654421. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^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. ------ 95276/8654448. ------ 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 z)))) REDUCED to normal form. ------ 95277/8654484. ------ 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)(^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. ------ 95278/8654511. ------ 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 z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 95279/8654538. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.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. ------ 95280/8654565. ------ 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. ------ 95281/8654592. ------ 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. ------ 95282/8654646. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(a a))(^a.(^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. ------ 95283/8654673. ------ 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. ------ 95284/8654727. ------ 1. ==[ start ]==> ((a (b a))((^b.(^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. ------ 95285/8654817. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (b (b ((^z.z)(a a)))) 6. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 7. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 95286/8654898. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((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. ------ 95287/8655006. ------ 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. ------ 95288/8655033. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 95289/8655096. ------ 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. ------ 95290/8655150. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 95291/8655177. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(^z.(z z))) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 95292/8655204. ------ 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. ------ 95293/8655294. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)((^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. ------ 95294/8655321. ------ 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 a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 95295/8655348. ------ 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)(^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. ------ 95296/8655375. ------ 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. ------ 95297/8655402. ------ 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))(^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)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 95298/8655429. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 95299/8655456. ------ 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. ------ 95300/8655483. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^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. ------ 95301/8655510. ------ 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 (^y.y)))(^x1.(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(a a))) REDUCED to normal form. ------ 95302/8655555. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95303/8655573. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 95304/8655654. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(a ((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 9. ==[ beta ]==> ((a a)(a (^y.y))) 10. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 95305/8655852. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 95306/8655960. ------ 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. ------ 95307/8655987. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z)) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 95308/8656140. ------ 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 a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95309/8656167. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))((^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. ------ 95310/8656266. ------ 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. ------ 95311/8656293. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (^z.b))) 3. ==[ beta ]==> (((^y.y)(a b))(a (^z.b))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (^y.b))) 5. ==[ beta ]==> ((a b)(a (^y.b))) 6. ==[ alpha ]==> ((a b)(a (^x.b))) REDUCED to normal form. ------ 95312/8656347. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 95313/8656374. ------ 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. ------ 95314/8656401. ------ 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 (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 95315/8656446. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 95316/8656455. ------ 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))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a a) a)) REDUCED to normal form. ------ 95317/8656482. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.y))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 95318/8656653. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 95319/8656761. ------ 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. ------ 95320/8656797. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) 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)((^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. ------ 95321/8656824. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 95322/8656851. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^z1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.a))) REDUCED to normal form. ------ 95323/8656932. ------ 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)(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z)) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 95324/8656959. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a)) b)) REDUCED to normal form. ------ 95325/8656986. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a) c)) 3. ==[ beta ]==> (((a b)(^x.a))(a c)) REDUCED to normal form. ------ 95326/8657085. ------ 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))(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. ------ 95327/8657094. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b b)) REDUCED to normal form. ------ 95328/8657121. ------ 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. ------ 95329/8657157. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(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. ------ 95330/8657184. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 95331/8657211. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a (b a))((^y.(y y))(a a))) 4. ==[ alpha ]==> ((a (b a))((^x.(x x))(a a))) 5. ==[ beta ]==> ((a (b a))((a a)(a a))) REDUCED to normal form. ------ 95332/8657238. ------ 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. ------ 95333/8657265. ------ 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.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 95334/8657292. ------ 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. ------ 95335/8657319. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y)(^y.y))) 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. ------ 95336/8657346. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 95337/8657373. ------ 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. ------ 95338/8657454. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((b (a a))(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((b (a a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 95339/8657481. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(b (^x.a))) REDUCED to normal form. ------ 95340/8657652. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b (a (^z.z)))) 3. ==[ beta ]==> (b (b (a (^z.z)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 95341/8657760. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(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. ------ 95342/8657796. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 95343/8657823. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (^x.x)) a)) REDUCED to normal form. ------ 95344/8657841. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(b (a a))) 3. ==[ beta ]==> (((a a)(a a))(b (a a))) REDUCED to normal form. ------ 95345/8657868. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(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. ------ 95346/8657877. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 95347/8657904. ------ 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)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 95348/8657922. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b a)) 3. ==[ beta ]==> (((b a)(b a))(b a)) REDUCED to normal form. ------ 95349/8657985. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 95350/8658003. ------ 1. ==[ start ]==> (((^a.b)(a b))(a a)) 2. ==[ alpha ]==> (((^x.b)(a b))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 95351/8658011. ------ 1. ==[ start ]==> (^a.((a b)(^a.b))) 2. ==[ alpha ]==> (^x.((x b)(^y.b))) REDUCED to normal form. ------ 95352/8658012. ------ 1. ==[ start ]==> (a ((a b)(^a.b))) 2. ==[ alpha ]==> (a ((a b)(^x.b))) REDUCED to normal form. ------ 95353/8665209. ------ 1. ==[ start ]==> (((^a.b)(a b)) b) 2. ==[ alpha ]==> (((^x.b)(a b)) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 95354/8665218. ------ 1. ==[ start ]==> (((a b)(^a.b)) a) 2. ==[ alpha ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 95355/8665224. ------ 1. ==[ start ]==> ((^a.a)((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.x)((a b)(^y.b))) 3. ==[ beta ]==> ((a b)(^y.b)) 4. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 95356/8665233. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95357/8665251. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.(a a)))(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 95358/8665278. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 95359/8665314. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 95360/8665359. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^z.z))(^x1.x1))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 95361/8665398. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^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))) REDUCED to normal form. ------ 95362/8665476. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 95363/8665719. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 95364/8666043. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 95365/8666169. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b a)(^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. ------ 95366/8666757. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.((^y.y) b))) 3. ==[ beta ]==> ((((a a) a) a)(^x.b)) REDUCED to normal form. ------ 95367/8667114. ------ 1. ==[ start ]==> ((^a.(a b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(^y.(^z.z))) b) 4. ==[ alpha ]==> (((b a)(^x.(^y.y))) b) REDUCED to normal form. ------ 95368/8667501. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.b)(^x1.(^y1.y1)))((^z.b)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.b)(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(b ((^y1.b)(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.(b ((^y.b)(^z.(^x1.x1))))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 95369/8667675. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(a (^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))))) REDUCED to normal form. ------ 95370/8667945. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(b a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(b a))) REDUCED to normal form. ------ 95371/8667963. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 95372/8668755. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95373/8669484. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 95374/8669502. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 95375/8669688. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^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. ------ 95376/8669709. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 95377/8669976. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.b) b)) 3. ==[ beta ]==> (((^x1.b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.b) b)(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 95378/8670150. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(^b.(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. ------ 95379/8670894. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a) a) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 95380/8671185. ------ 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)(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.x1))) REDUCED to normal form. ------ 95381/8671707. ------ 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. ------ 95382/8671932. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 95383/8672175. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.(^b.a))) 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. ------ 95384/8672283. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 95385/8672292. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 95386/8672337. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 95387/8672400. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 95388/8672418. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 95389/8672427. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.a)) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 95390/8672439. ------ 1. ==[ start ]==> ((a a)((a b)(^a.b))) 2. ==[ alpha ]==> ((a a)((a b)(^x.b))) REDUCED to normal form. ------ 95391/8672448. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)(a b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(a b))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 95392/8672466. ------ 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. ------ 95393/8672493. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^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. ------ 95394/8672502. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))((a a)(^a.a)))) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 95395/8672529. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((b a)(b a))) REDUCED to normal form. ------ 95396/8672547. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 95397/8672574. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 95398/8672583. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95399/8672610. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^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. ------ 95400/8672664. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 95401/8672691. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 95402/8672772. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))(^c.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. ------ 95403/8672799. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.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. ------ 95404/8672853. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(^c.(^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)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 95405/8672934. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 95406/8673006. ------ 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. ------ 95407/8673024. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 95408/8673105. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^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)))) 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. ------ 95409/8673132. ------ 1. ==[ start ]==> (((a (a a)) a)((a b)((a a) a))) REDUCED to normal form. ------ 95410/8673159. ------ 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. ------ 95411/8673186. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(a a))) 7. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 95412/8673213. ------ 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. ------ 95413/8673240. ------ 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. ------ 95414/8673258. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 95415/8673330. ------ 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. ------ 95416/8673357. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 95417/8673384. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 95418/8673474. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 95419/8673528. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(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. ------ 95420/8673555. ------ 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 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. ------ 95421/8673609. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 95422/8673681. ------ 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)) 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. ------ 95423/8673708. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b a) c)) REDUCED to normal form. ------ 95424/8673852. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))(^b.(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. ------ 95425/8673942. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y) b)(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x) b)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (b (a (^y.(^z.z))))) 6. ==[ alpha ]==> (b (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 95426/8673969. ------ 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. ------ 95427/8674023. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(a (^x1.x1)))) REDUCED to normal form. ------ 95428/8674050. ------ 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)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 95429/8674077. ------ 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. ------ 95430/8674104. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 95431/8674131. ------ 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. ------ 95432/8674302. ------ 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))) REDUCED to normal form. ------ 95433/8674329. ------ 1. ==[ start ]==> ((a (a b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 95434/8674419. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)((^x1.x1)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 95435/8674500. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 95436/8674527. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.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. ------ 95437/8674554. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^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. ------ 95438/8674608. ------ 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)))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z)))(^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. ------ 95439/8674689. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 95440/8674716. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 95441/8674887. ------ 1. ==[ start ]==> (((^a.b) b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 95442/8674896. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 95443/8675103. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) b)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b) b)(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a b) b)(a (a a))) REDUCED to normal form. ------ 95444/8675130. ------ 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)(^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)))) REDUCED to normal form. ------ 95445/8675157. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(b a))) REDUCED to normal form. ------ 95446/8675175. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 95447/8675310. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 95448/8675382. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(a a)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 95449/8675409. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 95450/8675463. ------ 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. ------ 95451/8675490. ------ 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. ------ 95452/8675634. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.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. ------ 95453/8675778. ------ 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. ------ 95454/8675805. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a b)((^y.y) a))) 3. ==[ beta ]==> (((a a) b)((a b)((^y.y) a))) 4. ==[ alpha ]==> (((a a) b)((a b)((^x.x) a))) 5. ==[ beta ]==> (((a a) b)((a b) a)) REDUCED to normal form. ------ 95455/8675832. ------ 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. ------ 95456/8675886. ------ 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. ------ 95457/8675913. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a (^x.b))(a (a b))) REDUCED to normal form. ------ 95458/8675967. ------ 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)(^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. ------ 95459/8676012. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 95460/8676111. ------ 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.(^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. ------ 95461/8676165. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 95462/8676192. ------ 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. ------ 95463/8676246. ------ 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. ------ 95464/8676273. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 95465/8676300. ------ 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. ------ 95466/8676444. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^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. ------ 95467/8676588. ------ 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. ------ 95468/8676696. ------ 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. ------ 95469/8676714. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 95470/8676795. ------ 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. ------ 95471/8676903. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^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. ------ 95472/8676921. ------ 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. ------ 95473/8676948. ------ 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)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a) a)) REDUCED to normal form. ------ 95474/8676975. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a b) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a b) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b) b)) 5. ==[ beta ]==> ((a (a a))((a b) b)) REDUCED to normal form. ------ 95475/8677002. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a) a) c)) REDUCED to normal form. ------ 95476/8677182. ------ 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))((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. ------ 95477/8677191. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b) b)) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 95478/8677362. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (^b.(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. ------ 95479/8677470. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 95480/8677497. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 95481/8677524. ------ 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)((^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. ------ 95482/8677578. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.b)(^x1.x1))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(^z.z))) 7. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.y))) 9. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 95483/8677659. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.(y1 y1)))) 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. ------ 95484/8677722. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b ((a a) a))) REDUCED to normal form. ------ 95485/8677776. ------ 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))) REDUCED to normal form. ------ 95486/8677812. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(^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. ------ 95487/8677947. ------ 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. ------ 95488/8677974. ------ 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)(^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. ------ 95489/8678001. ------ 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. ------ 95490/8678028. ------ 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)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) 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. ------ 95491/8678109. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a) a) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))(((a a) a) a)) 3. ==[ beta ]==> ((a b)(((a a) a) a)) REDUCED to normal form. ------ 95492/8678118. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 95493/8678145. ------ 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.(^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. ------ 95494/8678388. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b (^b.(^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. ------ 95495/8678397. ------ 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)))) 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. ------ 95496/8678442. ------ 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 (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 95497/8678469. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (^z1.z1)))) 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. ------ 95498/8678523. ------ 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.(^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. ------ 95499/8678604. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a))(^a.(^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. ------ 95500/8678613. ------ 1. ==[ start ]==> (((a b)(^c.a))(d (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(d (a (^y.y)))) REDUCED to normal form. ------ 95501/8678640. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c ((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c ((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c ((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(c a)) REDUCED to normal form. ------ 95502/8678667. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (a (a a)))) REDUCED to normal form. ------ 95503/8678721. ------ 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))(a a))) REDUCED to normal form. ------ 95504/8678748. ------ 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. ------ 95505/8678838. ------ 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. ------ 95506/8678865. ------ 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. ------ 95507/8678892. ------ 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 (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.a))) 7. ==[ beta ]==> ((a a)((a (^y.y))(^z.a))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 95508/8678919. ------ 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. ------ 95509/8678946. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 95510/8678973. ------ 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)(^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. ------ 95511/8679054. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a a)) REDUCED to normal form. ------ 95512/8679081. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.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)) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 95513/8679144. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 95514/8679279. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 95515/8679387. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(a (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95516/8679423. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b b)) 2. ==[ alpha ]==> ((((^x.x) b) b)(b b)) 3. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 95517/8679468. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(^a.a))(^a.a))) 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. ------ 95518/8679495. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 95519/8679504. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a (^z.z)))) REDUCED to normal form. ------ 95520/8679531. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 95521/8679549. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 95522/8679612. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 95523/8679630. ------ 1. ==[ start ]==> (((^a.b)(a b))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(a (^y.y))) 3. ==[ beta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 95524/8679639. ------ 1. ==[ start ]==> (((a b)(^a.b))(a a)) 2. ==[ alpha ]==> (((a b)(^x.b))(a a)) REDUCED to normal form. ------ 95525/8686845. ------ 1. ==[ start ]==> (((^a.b)(a b)) c) 2. ==[ alpha ]==> (((^x.b)(a b)) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 95526/8686854. ------ 1. ==[ start ]==> (((a b)(^a.b)) b) 2. ==[ alpha ]==> (((a b)(^x.b)) b) REDUCED to normal form. ------ 95527/8686878. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95528/8687052. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((a a)(a a)))) REDUCED to normal form. ------ 95529/8687121. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.(^x1.x1))) c)) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1))) c)) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z))) c)) REDUCED to normal form. ------ 95530/8687412. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((z z)(z z)))) REDUCED to normal form. ------ 95531/8687463. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^x1.x1)))(((a (^y.(^z.z)))(a (^x1.x1)))((a (^y.(^z.z)))(a (^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((a (^x1.(^y1.y1)))(a (^z1.z1)))((a (^x2.(^y2.y2)))(a (^z2.z2))))) REDUCED to normal form. ------ 95532/8688078. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.z))(^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. ------ 95533/8688402. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 95534/8689023. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 95535/8689320. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)(^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. ------ 95536/8689329. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 95537/8689353. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((b a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)(((b a)(a a))((b a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((b a)(a a))((b a)(a a)))) 5. ==[ beta ]==> (((b a)(a a))((b a)(a a))) REDUCED to normal form. ------ 95538/8689617. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 95539/8691156. ------ 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. ------ 95540/8691333. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 95541/8691621. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a b)(a a))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 95542/8692224. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95543/8692353. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 95544/8692857. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.y))) 3. ==[ beta ]==> ((b a)(^y.(^z.y))) 4. ==[ alpha ]==> ((b a)(^x.(^y.x))) REDUCED to normal form. ------ 95545/8692992. ------ 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)(^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. ------ 95546/8693487. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(x1 (x1 x1)))) REDUCED to normal form. ------ 95547/8693538. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a (^y.y))(a (^z.z)))((a (^y.y))(a (^z.z))))(((a (^y.y))(a (^z.z)))((a (^y.y))(a (^z.z))))) 4. ==[ alpha ]==> ((((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1))))(((a (^y1.y1))(a (^z1.z1)))((a (^x2.x2))(a (^y2.y2))))) REDUCED to normal form. ------ 95548/8693820. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95549/8693883. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 95550/8693928. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 95551/8693937. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 95552/8693982. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.y)) 3. ==[ beta ]==> (((b a)(b a))(^y.y)) 4. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 95553/8694045. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 95554/8694063. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.a)) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 95555/8694072. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 95556/8694102. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.b))) REDUCED to normal form. ------ 95557/8694111. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)(a b))) 3. ==[ beta ]==> (a ((^y.b)(a b))) 4. ==[ alpha ]==> (a ((^x.b)(a b))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 95558/8694129. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((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. ------ 95559/8694165. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 95560/8694192. ------ 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))) 5. ==[ beta ]==> (b ((b a)(b a))) REDUCED to normal form. ------ 95561/8694219. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 95562/8694237. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(^b.b))) 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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95563/8694246. ------ 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. ------ 95564/8694273. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 95565/8694291. ------ 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)) REDUCED to normal form. ------ 95566/8694318. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 95567/8694327. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 95568/8694345. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z))) c)) REDUCED to normal form. ------ 95569/8694462. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 95570/8694516. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 95571/8694570. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 95572/8694606. ------ 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))) 5. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 95573/8694633. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((a a)(a a)))) REDUCED to normal form. ------ 95574/8694660. ------ 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. ------ 95575/8694687. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 95576/8694930. ------ 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))))) REDUCED to normal form. ------ 95577/8694957. ------ 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. ------ 95578/8695002. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 95579/8695047. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b a)(^b.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. ------ 95580/8695074. ------ 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))(^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. ------ 95581/8695128. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 95582/8695137. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)((a a) a))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 95583/8695182. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(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. ------ 95584/8695191. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.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. ------ 95585/8695218. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 95586/8695245. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(b a))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(b a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(b a))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 95587/8695263. ------ 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))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 95588/8695272. ------ 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 (^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. ------ 95589/8695299. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 7. ==[ beta ]==> ((^y.y)((^z.z) b)) 8. ==[ alpha ]==> ((^x.x)((^y.y) b)) 9. ==[ beta ]==> ((^y.y) b) 10. ==[ alpha ]==> ((^x.x) b) 11. ==[ beta ]==> b REDUCED to normal form. ------ 95590/8695596. ------ 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.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 95591/8695623. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.y))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 95592/8695641. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y) 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. ------ 95593/8695668. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2))) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2))) 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. ------ 95594/8695821. ------ 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))((^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. ------ 95595/8695848. ------ 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. ------ 95596/8695875. ------ 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)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) 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. ------ 95597/8695902. ------ 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))) REDUCED to normal form. ------ 95598/8695929. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 95599/8695974. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 95600/8695992. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 95601/8696073. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.(^x1.x1)))) IRREDUCIBLE: cycle. ------ 95602/8696136. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 95603/8696154. ------ 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. ------ 95604/8696163. ------ 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. ------ 95605/8696181. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 95606/8696190. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 95607/8696244. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 95608/8696262. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 95609/8696271. ------ 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)))(^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. ------ 95610/8696352. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 95611/8696523. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (b a))) REDUCED to normal form. ------ 95612/8696541. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) 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))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 95613/8696550. ------ 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. ------ 95614/8696577. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((b a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a)(a a))) 3. ==[ beta ]==> ((a (a a))((b a)(a a))) REDUCED to normal form. ------ 95615/8696613. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 95616/8696838. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 95617/8696883. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 11. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 12. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 95618/8696892. ------ 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. ------ 95619/8696919. ------ 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 a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> (((^y.(a a))((^z.z) a))((^y.(a a))((^z.z) a))) 8. ==[ alpha ]==> (((^x.(a a))((^y.y) a))((^z.(a a))((^x1.x1) a))) 9. ==[ beta ]==> ((a a)((^z.(a a))((^x1.x1) a))) 10. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 95620/8696946. ------ 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. ------ 95621/8696964. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a)(^b.(^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. ------ 95622/8696973. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 95623/8697000. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 95624/8697189. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 95625/8697423. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 95626/8697621. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95627/8697666. ------ 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 a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 95628/8697675. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 95629/8697702. ------ 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 a)) REDUCED to normal form. ------ 95630/8697729. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 95631/8698179. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 95632/8698350. ------ 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. ------ 95633/8698377. ------ 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. ------ 95634/8698431. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 95635/8698449. ------ 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. ------ 95636/8698458. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 95637/8698485. ------ 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. ------ 95638/8698512. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^y1.y1)(^z1.z1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 9. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 10. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 95639/8698557. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.b))) REDUCED to normal form. ------ 95640/8698791. ------ 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. ------ 95641/8698845. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b)(a a))) REDUCED to normal form. ------ 95642/8698854. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.b) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.b) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 95643/8699124. ------ 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))(^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. ------ 95644/8699133. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 95645/8699151. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 95646/8699160. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 95647/8699178. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 95648/8699232. ------ 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. ------ 95649/8699241. ------ 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. ------ 95650/8699268. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.a)(^a.(^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. ------ 95651/8699322. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 95652/8699349. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 95653/8699376. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^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. ------ 95654/8699421. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95655/8699448. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.a) b)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 95656/8699466. ------ 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)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 95657/8699493. ------ 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) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a (a a)) a)) REDUCED to normal form. ------ 95658/8699520. ------ 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 (a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 95659/8699547. ------ 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. ------ 95660/8699574. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a a)((a a) a))) 5. ==[ beta ]==> ((a b)((a a)((a a) a))) REDUCED to normal form. ------ 95661/8699727. ------ 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)(^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. ------ 95662/8699772. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((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. ------ 95663/8699799. ------ 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)(^x2.x2)) b)) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(^x2.x2)) 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. ------ 95664/8699934. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.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. ------ 95665/8700051. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 95666/8700078. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a (^y.a))) 3. ==[ beta ]==> ((b a)(a (^y.a))) 4. ==[ alpha ]==> ((b a)(a (^x.a))) REDUCED to normal form. ------ 95667/8700096. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) b)(((^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. ------ 95668/8700105. ------ 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))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 95669/8700123. ------ 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.(^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. ------ 95670/8700132. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^z1.z1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(a (^z1.z1)))) REDUCED to normal form. ------ 95671/8700177. ------ 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 (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 95672/8700213. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 95673/8700240. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(^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. ------ 95674/8700258. ------ 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)) b)) REDUCED to normal form. ------ 95675/8700267. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a))(^a.(^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. ------ 95676/8700294. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.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. ------ 95677/8700321. ------ 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.(^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. ------ 95678/8700366. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 95679/8700438. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a a) b)((a (^x.x)) a)) REDUCED to normal form. ------ 95680/8700465. ------ 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 (a a)))) REDUCED to normal form. ------ 95681/8700708. ------ 1. ==[ start ]==> (((a (^a.(^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. ------ 95682/8700735. ------ 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. ------ 95683/8700762. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 95684/8700933. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z)) b)) 3. ==[ beta ]==> (b ((a (^z.z)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 95685/8701041. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.y1) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95686/8701077. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^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)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 95687/8701104. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a)(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. ------ 95688/8701122. ------ 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)) REDUCED to normal form. ------ 95689/8701149. ------ 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. ------ 95690/8701158. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 95691/8701185. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b (^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b (^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.x1))) REDUCED to normal form. ------ 95692/8701203. ------ 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)) 5. ==[ beta ]==> (((b a)(b a)) b) REDUCED to normal form. ------ 95693/8701266. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(^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. ------ 95694/8701284. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.y) a)) 3. ==[ beta ]==> (b ((^y.y) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 95695/8701293. ------ 1. ==[ start ]==> (((a b)(^a.b))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 95696/8701310. ------ 1. ==[ start ]==> (^a.((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (^x.((^y.(x x))((x x) x))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 95697/8701311. ------ 1. ==[ start ]==> (a ((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (a ((^x.(a a))((a a) a))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 95698/8706984. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 95699/8708517. ------ 1. ==[ start ]==> (((a b)(^a.b)) c) 2. ==[ alpha ]==> (((a b)(^x.b)) c) REDUCED to normal form. ------ 95700/8708541. ------ 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 a) REDUCED to normal form. ------ 95701/8708568. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)(a b))) 3. ==[ beta ]==> (((^y.b)(a b))((^y.b)(a b))) 4. ==[ alpha ]==> (((^x.b)(a 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. ------ 95702/8708595. ------ 1. ==[ start ]==> ((^a.b)((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 95703/8708676. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^z.a)(a (^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(a (^y.(^z.z))))(^x1.x1)) 5. ==[ beta ]==> (a (^x1.x1)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 95704/8709084. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 95705/8709360. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 95706/8709486. ------ 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 (^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. ------ 95707/8709918. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((^y.b)(^z.a))((^y.b)(^z.a)))((^y.b)(^z.a))) 4. ==[ alpha ]==> ((((^x.b)(^y.a))((^z.b)(^x1.a)))((^y1.b)(^z1.a))) 5. ==[ beta ]==> ((b ((^z.b)(^x1.a)))((^y1.b)(^z1.a))) 6. ==[ alpha ]==> ((b ((^x.b)(^y.a)))((^z.b)(^x1.a))) 7. ==[ beta ]==> ((b b)((^z.b)(^x1.a))) 8. ==[ alpha ]==> ((b b)((^x.b)(^y.a))) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 95708/8710092. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.z) b))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y) b))) 5. ==[ beta ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 95709/8710251. ------ 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. ------ 95710/8710407. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 95711/8710431. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a a)) b) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 95712/8710695. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(^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. ------ 95713/8711001. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 95714/8711280. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^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. ------ 95715/8711568. ------ 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. ------ 95716/8712351. ------ 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. ------ 95717/8712456. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(^z.(z z)))) 3. ==[ eta ]==> (b ((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 95718/8712819. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a b))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(a b))(^x.(a a))) REDUCED to normal form. ------ 95719/8713053. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 95720/8713467. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a b))) 3. ==[ beta ]==> (b (^x1.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 95721/8713872. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(x1 b))) 3. ==[ beta ]==> ((^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. ------ 95722/8713896. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95723/8714052. ------ 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. ------ 95724/8714211. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 95725/8714214. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.((a a) a))) 3. ==[ beta ]==> ((a b)(^y.((a a) a))) 4. ==[ alpha ]==> ((a b)(^x.((a a) a))) REDUCED to normal form. ------ 95726/8714385. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((z z) z))) 3. ==[ beta ]==> (b (^z.((z z) z))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 95727/8714664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.(^b.(^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. ------ 95728/8714817. ------ 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)(^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. ------ 95729/8714943. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.(^b.(^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. ------ 95730/8715051. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(a (a a)))) REDUCED to normal form. ------ 95731/8715159. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 95732/8715249. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 95733/8715492. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95734/8715609. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 95735/8715654. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(a a))) 3. ==[ beta ]==> (((b a)(b a))(^y.(a a))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(a a))) REDUCED to normal form. ------ 95736/8715717. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 95737/8715735. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(y y))) 3. ==[ beta ]==> (b (^y.(y y))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 95738/8715744. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.a)) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.a)) REDUCED to normal form. ------ 95739/8715774. ------ 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 a)) REDUCED to normal form. ------ 95740/8715792. ------ 1. ==[ start ]==> (((^a.a) a)((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)((a b)(^y.b))) 3. ==[ beta ]==> (a ((a b)(^y.b))) 4. ==[ alpha ]==> (a ((a b)(^x.b))) REDUCED to normal form. ------ 95741/8715801. ------ 1. ==[ start ]==> ((a (a a))((^a.b)(a b))) 2. ==[ alpha ]==> ((a (a a))((^x.b)(a b))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 95742/8715819. ------ 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. ------ 95743/8715828. ------ 1. ==[ start ]==> ((a b)((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 95744/8715882. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(b a))) 3. ==[ beta ]==> (((a a)(a a))((b a)(b a))) REDUCED to normal form. ------ 95745/8715900. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 95746/8715909. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^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) REDUCED to normal form. ------ 95747/8715927. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 95748/8715981. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(a a)) a)) REDUCED to normal form. ------ 95749/8716008. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b b)) REDUCED to normal form. ------ 95750/8716044. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1)))(^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. ------ 95751/8716287. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 95752/8716359. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.b) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y) b)) 3. ==[ beta ]==> ((a a)((^y.y) b)) 4. ==[ alpha ]==> ((a a)((^x.x) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 95753/8716377. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(a (^x1.x1)))((a (^y.(^z.z)))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) REDUCED to normal form. ------ 95754/8716404. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 95755/8716458. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 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. ------ 95756/8716485. ------ 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. ------ 95757/8716512. ------ 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. ------ 95758/8716566. ------ 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. ------ 95759/8716593. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 95760/8716638. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.y))) REDUCED to normal form. ------ 95761/8716683. ------ 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. ------ 95762/8716692. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(a a))) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 95763/8716719. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 95764/8716818. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)((a b)(^x.a))) REDUCED to normal form. ------ 95765/8716845. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a) a)(^z.b))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.b))) 5. ==[ beta ]==> (a (((a a) a)(^y.b))) 6. ==[ alpha ]==> (a (((a a) a)(^x.b))) REDUCED to normal form. ------ 95766/8716872. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 95767/8716953. ------ 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.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 95768/8716980. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a)(^b.b))) 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. ------ 95769/8717016. ------ 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))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 95770/8717043. ------ 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.(^z1.z1)))) 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. ------ 95771/8717124. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a))(^b.(^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 a)) REDUCED to normal form. ------ 95772/8717151. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.a))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 95773/8717322. ------ 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))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 95774/8717349. ------ 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 (^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(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. ------ 95775/8717358. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 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. ------ 95776/8717403. ------ 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)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a a)(((a a)(^y.y))((^z.z) a))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y) a))) 9. ==[ beta ]==> ((a a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 95777/8717412. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 95778/8717484. ------ 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. ------ 95779/8717610. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 95780/8717637. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a (^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.x))) REDUCED to normal form. ------ 95781/8717655. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 95782/8717664. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 95783/8717817. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.b))) 5. ==[ beta ]==> ((((a a) a) b)(^y.b)) 6. ==[ alpha ]==> ((((a a) a) b)(^x.b)) REDUCED to normal form. ------ 95784/8717844. ------ 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. ------ 95785/8717871. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 95786/8717925. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 95787/8717952. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 95788/8717979. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((b a) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))((b a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((b a) b)) 5. ==[ beta ]==> ((^y.a)((b a) b)) 6. ==[ alpha ]==> ((^x.a)((b a) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 95789/8718069. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 95790/8718123. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 95791/8718150. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 95792/8718177. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 95793/8718231. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^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. ------ 95794/8718267. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((b a)(a a))) 3. ==[ beta ]==> ((^y.(a a))((b a)(a a))) 4. ==[ alpha ]==> ((^x.(a a))((b a)(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 95795/8718294. ------ 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 (^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. ------ 95796/8718348. ------ 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. ------ 95797/8718429. ------ 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. ------ 95798/8718483. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^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)))) REDUCED to normal form. ------ 95799/8718510. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 95800/8718573. ------ 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. ------ 95801/8718600. ------ 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.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> ((((^y.y)(a a))(^z.a))(((^y.y)(a a))(^z.a))) 8. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(a a))(^x1.a))) 9. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a))(^x1.a))) 10. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.a))) 11. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.a))) 12. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 95802/8718627. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b)(^y.(y y)))) REDUCED to normal form. ------ 95803/8718654. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 95804/8718717. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a b))) 5. ==[ beta ]==> (((a a)(a a))((a b)(a b))) REDUCED to normal form. ------ 95805/8718744. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 95806/8718771. ------ 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 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. ------ 95807/8718798. ------ 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. ------ 95808/8718870. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 95809/8718879. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 95810/8718906. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 95811/8719104. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 95812/8719113. ------ 1. ==[ start ]==> (((a b) c)((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 95813/8719140. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(a a)) c)) 3. ==[ beta ]==> (((a a) b)((^y.(a a)) c)) 4. ==[ alpha ]==> (((a a) b)((^x.(a a)) c)) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 95814/8719185. ------ 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. ------ 95815/8719212. ------ 1. ==[ start ]==> (((^a.(^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)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 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. ------ 95816/8719266. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(a b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (a b))) REDUCED to normal form. ------ 95817/8719356. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 95818/8719383. ------ 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.(^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. ------ 95819/8719410. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b)(^z.a))) REDUCED to normal form. ------ 95820/8719473. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))((^x1.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. ------ 95821/8719500. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((a (a b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 95822/8719527. ------ 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. ------ 95823/8719554. ------ 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.x2)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95824/8719581. ------ 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. ------ 95825/8719608. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 95826/8719635. ------ 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. ------ 95827/8719662. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.b)(^b.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. ------ 95828/8719689. ------ 1. ==[ start ]==> ((a (b a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 95829/8719779. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (a b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (a b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (a b))) 5. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 95830/8719860. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 95831/8719923. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a) d)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a) d)) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 95832/8719968. ------ 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. ------ 95833/8719995. ------ 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)((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. ------ 95834/8720049. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a b))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a b)(a b))((a a)(a a))) REDUCED to normal form. ------ 95835/8720112. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 95836/8720139. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 95837/8720166. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^x.a))(^z.(z z))) 8. ==[ alpha ]==> (((a a)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 95838/8720193. ------ 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. ------ 95839/8720256. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^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. ------ 95840/8720283. ------ 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 (^x.x))((a a)(^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 95841/8720310. ------ 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 a))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.y))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 95842/8720337. ------ 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. ------ 95843/8720391. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 95844/8720418. ------ 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. ------ 95845/8720445. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 95846/8720472. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^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. ------ 95847/8720517. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 95848/8720535. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a b)(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 95849/8720616. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))(a (a a)))) 5. ==[ beta ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 95850/8720697. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 95851/8720814. ------ 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. ------ 95852/8720841. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 95853/8720922. ------ 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. ------ 95854/8720949. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a) a) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a) b)) 5. ==[ beta ]==> ((^y.b)(((a a) a) b)) 6. ==[ alpha ]==> ((^x.b)(((a a) a) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 95855/8721102. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 95856/8721111. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.b) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 95857/8721129. ------ 1. ==[ start ]==> ((a (^b.b))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 95858/8721255. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b (^z.a))) 3. ==[ beta ]==> (((^y.y)(a b))(b (^z.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(b (^y.a))) 5. ==[ beta ]==> ((a b)(b (^y.a))) 6. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 95859/8721282. ------ 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. ------ 95860/8721309. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(a a))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 95861/8721336. ------ 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. ------ 95862/8721363. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((^z.z) a))) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((^y.y) a))) 9. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 95863/8721408. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 95864/8721417. ------ 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)(^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. ------ 95865/8721444. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a b)((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.x)((a a) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 95866/8721615. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 95867/8721723. ------ 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 (^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(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. ------ 95868/8721786. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^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. ------ 95869/8721813. ------ 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.(^z1.z1)))) REDUCED to normal form. ------ 95870/8721894. ------ 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.(^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. ------ 95871/8721921. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 95872/8721948. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a)) b)) REDUCED to normal form. ------ 95873/8721975. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a) c)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a c)) REDUCED to normal form. ------ 95874/8722047. ------ 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)(^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. ------ 95875/8722056. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(^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. ------ 95876/8722083. ------ 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. ------ 95877/8722119. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c (^b.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. ------ 95878/8722146. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 95879/8722173. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a (^b.(^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. ------ 95880/8722200. ------ 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. ------ 95881/8722227. ------ 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) REDUCED to normal form. ------ 95882/8722254. ------ 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. ------ 95883/8722281. ------ 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. ------ 95884/8722308. ------ 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))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^z.z))) 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. ------ 95885/8722335. ------ 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. ------ 95886/8722389. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.(y1 y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 95887/8722479. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1) 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. ------ 95888/8722614. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 95889/8722722. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 95890/8722758. ------ 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))) REDUCED to normal form. ------ 95891/8722785. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 95892/8722830. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(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. ------ 95893/8722839. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a) b)) REDUCED to normal form. ------ 95894/8722866. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1)) a)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 95895/8722884. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)(a a))) 3. ==[ beta ]==> (((b a)(b a))((a a)(a a))) REDUCED to normal form. ------ 95896/8722947. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 95897/8722965. ------ 1. ==[ start ]==> (((^a.b)(a b))(a (a a))) 2. ==[ alpha ]==> (((^x.b)(a b))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 95898/8722974. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a) a)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y) a)) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 95899/8728674. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 95900/8730249. ------ 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. ------ 95901/8730267. ------ 1. ==[ start ]==> ((^a.(a a))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))((a b)(^y.b))) 3. ==[ beta ]==> (((a b)(^y.b))((a b)(^y.b))) 4. ==[ alpha ]==> (((a b)(^x.b))((a b)(^y.b))) REDUCED to normal form. ------ 95902/8730294. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 95903/8730330. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 95904/8730375. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^z.z) a)(^x1.(^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 95905/8730441. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^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)))) REDUCED to normal form. ------ 95906/8730492. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 95907/8730735. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 95908/8730834. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.b) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y) b)) 3. ==[ beta ]==> (((^y.y) b)(((^y.y) b)((^y.y) 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. ------ 95909/8731185. ------ 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.(^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. ------ 95910/8731791. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 95911/8732130. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.x1)) b) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 95912/8732412. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 95913/8732517. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(((^z.(a a))(^x1.(x1 x1)))((^z.(a a))(^x1.(x1 x1))))) 4. ==[ alpha ]==> (^x.(((^y.(a a))(^z.(z z)))((^x1.(a a))(^y1.(y1 y1))))) 5. ==[ beta ]==> (^x.((a a)((^x1.(a a))(^y1.(y1 y1))))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a))(^z.(z z))))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 95914/8732724. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.(^y1.y1))) a)((^z.(^x1.(^y1.y1))) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.(^x1.x1))) a)((^y1.(^z1.(^x2.x2))) a))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1))) a)((^y1.(^z1.(^x2.x2))) a)) 6. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.(^z1.z1))) a)) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95915/8732988. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(b a))) REDUCED to normal form. ------ 95916/8734527. ------ 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. ------ 95917/8734704. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)((a a) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 95918/8734986. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95919/8734992. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^x1.(a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(a a)) a)(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 95920/8735382. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(a z))) 3. ==[ eta ]==> (((^x.(x x))((^y.y)(a a))) a) 4. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a))) a) 5. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a))) a) 6. ==[ beta ]==> (((a a)((^y.y)(a a))) a) 7. ==[ alpha ]==> (((a a)((^x.x)(a a))) a) 8. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 95921/8735571. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^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. ------ 95922/8735580. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(x1 b))) REDUCED to normal form. ------ 95923/8735910. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 95924/8735913. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.a))) 4. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 95925/8735922. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 95926/8736084. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(^c.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. ------ 95927/8736228. ------ 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)(^x.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 95928/8736246. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.y))) 5. ==[ beta ]==> (b (^y.(^z.y))) 6. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 95929/8736516. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.(^b.(^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. ------ 95930/8736525. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.z1))) REDUCED to normal form. ------ 95931/8736750. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 95932/8736909. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a) b)) 3. ==[ beta ]==> ((((^y.a) b)((^y.a) b))(((^y.a) b)((^y.a) b))) 4. ==[ alpha ]==> ((((^x.a) b)((^y.a) b))(((^z.a) b)((^x1.a) b))) 5. ==[ beta ]==> ((a ((^y.a) b))(((^z.a) b)((^x1.a) b))) 6. ==[ alpha ]==> ((a ((^x.a) b))(((^y.a) b)((^z.a) b))) 7. ==[ beta ]==> ((a a)(((^y.a) b)((^z.a) b))) 8. ==[ alpha ]==> ((a a)(((^x.a) b)((^y.a) b))) 9. ==[ beta ]==> ((a a)(a ((^y.a) b))) 10. ==[ alpha ]==> ((a a)(a ((^x.a) b))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 95933/8737272. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.(a (^a.a)))) 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)))) REDUCED to normal form. ------ 95934/8737335. ------ 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)))) REDUCED to normal form. ------ 95935/8737416. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 95936/8737434. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 95937/8737443. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 95938/8737491. ------ 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 a)) REDUCED to normal form. ------ 95939/8737509. ------ 1. ==[ start ]==> ((a (a a))((a b)(^a.b))) 2. ==[ alpha ]==> ((a (a a))((a b)(^x.b))) REDUCED to normal form. ------ 95940/8737518. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 95941/8737536. ------ 1. ==[ start ]==> ((a b)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a b)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 95942/8737572. ------ 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)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 95943/8737617. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(^a.(^a.(^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. ------ 95944/8737626. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.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. ------ 95945/8737653. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 95946/8737680. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 95947/8737734. ------ 1. ==[ start ]==> ((a (^b.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 95948/8737815. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 95949/8737842. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.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. ------ 95950/8737923. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 95951/8737977. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 95952/8738067. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(a a))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(a a))) 5. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 95953/8738076. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.b) b)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x) b)) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 95954/8738148. ------ 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. ------ 95955/8738175. ------ 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.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. ------ 95956/8738202. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)((a a) a))) REDUCED to normal form. ------ 95957/8738229. ------ 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. ------ 95958/8738256. ------ 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)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a a))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 95959/8738283. ------ 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. ------ 95960/8738400. ------ 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. ------ 95961/8738427. ------ 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.(^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. ------ 95962/8738436. ------ 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 (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 95963/8738517. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 95964/8738598. ------ 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))((^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. ------ 95965/8738652. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(b a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 95966/8738724. ------ 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)(^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. ------ 95967/8738751. ------ 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)) REDUCED to normal form. ------ 95968/8738778. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b a) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a) c)) 3. ==[ beta ]==> ((a ((^y.y) a))((b a) c)) 4. ==[ alpha ]==> ((a ((^x.x) a))((b a) c)) 5. ==[ beta ]==> ((a a)((b a) c)) REDUCED to normal form. ------ 95969/8738895. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 95970/8738949. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 95971/8738985. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (b a))) 3. ==[ beta ]==> (((^y.y) b)(c (b a))) 4. ==[ alpha ]==> (((^x.x) b)(c (b a))) 5. ==[ beta ]==> (b (c (b a))) REDUCED to normal form. ------ 95972/8739012. ------ 1. ==[ start ]==> ((((a a) a) a)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 95973/8739030. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(^b.b))) 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. ------ 95974/8739066. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) REDUCED to normal form. ------ 95975/8739093. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.(y y)))((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 95976/8739120. ------ 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) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 95977/8739147. ------ 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. ------ 95978/8739174. ------ 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. ------ 95979/8739372. ------ 1. ==[ start ]==> ((a (a b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (a b))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 95980/8739381. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 95981/8739462. ------ 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. ------ 95982/8739543. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 95983/8739570. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((a b)(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a b)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((a b)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 95984/8739597. ------ 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)(^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 REDUCED to normal form. ------ 95985/8739651. ------ 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 (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(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. ------ 95986/8739732. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 95987/8739759. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 95988/8739930. ------ 1. ==[ start ]==> (((^a.b) b)(b (b a))) 2. ==[ alpha ]==> (((^x.b) b)(b (b a))) 3. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 95989/8739966. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 95990/8740146. ------ 1. ==[ start ]==> (((a b) b)((a (a a))(a b))) REDUCED to normal form. ------ 95991/8740173. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^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. ------ 95992/8740200. ------ 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 a)(^z.z)))) REDUCED to normal form. ------ 95993/8740227. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(b a))) REDUCED to normal form. ------ 95994/8740353. ------ 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. ------ 95995/8740425. ------ 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. ------ 95996/8740452. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.(a a)))) REDUCED to normal form. ------ 95997/8740533. ------ 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. ------ 95998/8740560. ------ 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)) REDUCED to normal form. ------ 95999/8740587. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a) c)) REDUCED to normal form. ------ 96000/8740677. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 96001/8740821. ------ 1. ==[ start ]==> (((a b) c)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b) c)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 96002/8740848. ------ 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. ------ 96003/8740875. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a b) a)) REDUCED to normal form. ------ 96004/8740929. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 96005/8740956. ------ 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. ------ 96006/8741010. ------ 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.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96007/8741037. ------ 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. ------ 96008/8741154. ------ 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. ------ 96009/8741181. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^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. ------ 96010/8741208. ------ 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. ------ 96011/8741235. ------ 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. ------ 96012/8741262. ------ 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 (^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(a a)))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 9. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 96013/8741316. ------ 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. ------ 96014/8741343. ------ 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. ------ 96015/8741370. ------ 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. ------ 96016/8741487. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.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. ------ 96017/8741631. ------ 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)(^x.x)) b)(((a a) a) a)) REDUCED to normal form. ------ 96018/8741739. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(a b))) REDUCED to normal form. ------ 96019/8741757. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (^y.(a a)))) 3. ==[ beta ]==> (((a b)(a b))(b (^y.(a a)))) 4. ==[ alpha ]==> (((a b)(a b))(b (^x.(a a)))) REDUCED to normal form. ------ 96020/8741766. ------ 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. ------ 96021/8741838. ------ 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. ------ 96022/8741946. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 96023/8741964. ------ 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. ------ 96024/8741991. ------ 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)))) REDUCED to normal form. ------ 96025/8742018. ------ 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)) 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. ------ 96026/8742045. ------ 1. ==[ start ]==> (((a (a a))(a b))((a b) b)) REDUCED to normal form. ------ 96027/8742225. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 96028/8742234. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(a a)) a)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 96029/8742405. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (b (b (^x1.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 96030/8742513. ------ 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))((^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. ------ 96031/8742540. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 96032/8742567. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.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. ------ 96033/8742621. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)(a b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)(a b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(a b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(a b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(a b))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(a b))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(a b))) 9. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 96034/8742702. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(^a.a))(^b.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. ------ 96035/8742765. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(c (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (^z.z))) REDUCED to normal form. ------ 96036/8742810. ------ 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))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96037/8742819. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (a b))) REDUCED to normal form. ------ 96038/8742882. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 96039/8743017. ------ 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. ------ 96040/8743044. ------ 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. ------ 96041/8743071. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (a a))(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (a a))(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))(^y.a))) REDUCED to normal form. ------ 96042/8743125. ------ 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)))) REDUCED to normal form. ------ 96043/8743152. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)(^y.a))) 3. ==[ beta ]==> ((a b)((a a)(^y.a))) 4. ==[ alpha ]==> ((a b)((a a)(^x.a))) REDUCED to normal form. ------ 96044/8743161. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)((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. ------ 96045/8743323. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(^c.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. ------ 96046/8743440. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 96047/8743467. ------ 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)))) 5. ==[ beta ]==> ((b a)((a a)(^y.y))) 6. ==[ alpha ]==> ((b a)((a a)(^x.x))) REDUCED to normal form. ------ 96048/8743485. ------ 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. ------ 96049/8743512. ------ 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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96050/8743566. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 96051/8743647. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(^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. ------ 96052/8743755. ------ 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.(^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. ------ 96053/8743764. ------ 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)(^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. ------ 96054/8743791. ------ 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. ------ 96055/8743827. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.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. ------ 96056/8743908. ------ 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. ------ 96057/8743935. ------ 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)))) 9. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 10. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 96058/8743962. ------ 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. ------ 96059/8743989. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 96060/8744016. ------ 1. ==[ start ]==> ((((^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)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (a a)) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 96061/8744043. ------ 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. ------ 96062/8744124. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(y y)) a)) 3. ==[ beta ]==> ((b (a a))((^y.(y y)) a)) 4. ==[ alpha ]==> ((b (a a))((^x.(x x)) a)) 5. ==[ beta ]==> ((b (a a))(a a)) REDUCED to normal form. ------ 96063/8744151. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a) b)) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 96064/8744187. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(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. ------ 96065/8744322. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 96066/8744430. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(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. ------ 96067/8744466. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c a)) 2. ==[ alpha ]==> ((((^x.x) b) b)(c a)) 3. ==[ beta ]==> ((b b)(c a)) REDUCED to normal form. ------ 96068/8744493. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b b)) REDUCED to normal form. ------ 96069/8744511. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)(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. ------ 96070/8744538. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 96071/8744547. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a a))) REDUCED to normal form. ------ 96072/8744574. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a (a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (a (^x1.x1)))) REDUCED to normal form. ------ 96073/8744592. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b (^y.y))) 3. ==[ beta ]==> (((b a)(b a))(b (^y.y))) 4. ==[ alpha ]==> (((b a)(b a))(b (^x.x))) REDUCED to normal form. ------ 96074/8744655. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a b)) REDUCED to normal form. ------ 96075/8744673. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^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. ------ 96076/8744682. ------ 1. ==[ start ]==> (((a b)(^a.b))(a (a a))) 2. ==[ alpha ]==> (((a b)(^x.b))(a (a a))) REDUCED to normal form. ------ 96077/8747205. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(a (^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 ]==> ((^x1.(x1 (^y1.(^z1.z1))))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.y1))) 9. ==[ beta ]==> ((^x1.(^y1.y1))(^y.(^z.z))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96078/8749473. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((^x1.((^y1.y1)(x1 x1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 96079/8752176. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 96080/8752218. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) b) b)) 3. ==[ beta ]==> (^y.(((^z.z) b) b)) 4. ==[ alpha ]==> (^x.(((^y.y) b) b)) 5. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 96081/8752536. ------ 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. ------ 96082/8752560. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((((^y.y) b)(a a))((((^y.y) b)(a a))(((^y.y) b)(a a)))) 4. ==[ alpha ]==> ((((^x.x) b)(a a))((((^y.y) b)(a a))(((^z.z) b)(a a)))) 5. ==[ beta ]==> ((b (a a))((((^y.y) b)(a a))(((^z.z) b)(a a)))) 6. ==[ alpha ]==> ((b (a a))((((^x.x) b)(a a))(((^y.y) b)(a a)))) 7. ==[ beta ]==> ((b (a a))((b (a a))(((^y.y) b)(a a)))) 8. ==[ alpha ]==> ((b (a a))((b (a a))(((^x.x) b)(a a)))) 9. ==[ beta ]==> ((b (a a))((b (a a))(b (a a)))) REDUCED to normal form. ------ 96083/8752878. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 96084/8753850. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 96085/8754147. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 96086/8754450. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)((a (a (^z.(^x1.x1))))(a (a (^z.(^x1.x1)))))) 4. ==[ alpha ]==> ((^x.x)((a (a (^y.(^z.z))))(a (a (^x1.(^y1.y1)))))) 5. ==[ beta ]==> ((a (a (^y.(^z.z))))(a (a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 96087/8754453. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(a (^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))))) REDUCED to normal form. ------ 96088/8756712. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96089/8756718. ------ 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 ]==> ((a ((^x1.x1)(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x)(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. ------ 96090/8756721. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^z.(z z))) REDUCED to normal form. ------ 96091/8757117. ------ 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. ------ 96092/8757306. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.x1))) REDUCED to normal form. ------ 96093/8757321. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96094/8757648. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 96095/8757981. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 96096/8758116. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 96097/8758251. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 96098/8758368. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.(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)))) REDUCED to normal form. ------ 96099/8758611. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(y (y y)))) 3. ==[ beta ]==> ((b (a a))(^y.(y (y y)))) 4. ==[ alpha ]==> ((b (a a))(^x.(x (x x)))) REDUCED to normal form. ------ 96100/8758635. ------ 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. ------ 96101/8758953. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.(^b.a))) 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. ------ 96102/8759061. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 96103/8759142. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 96104/8759160. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.a)) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 96105/8759169. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 96106/8759235. ------ 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 a)) REDUCED to normal form. ------ 96107/8759253. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 96108/8759262. ------ 1. ==[ start ]==> (((a a) a)((^a.b)(a b))) 2. ==[ alpha ]==> (((a a) a)((^x.b)(a b))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 96109/8759280. ------ 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. ------ 96110/8759316. ------ 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 ]==> (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. ------ 96111/8759343. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 96112/8759361. ------ 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.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96113/8759370. ------ 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. ------ 96114/8759388. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 96115/8759397. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 96116/8759424. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 96117/8759442. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 96118/8759469. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) b) b)) 3. ==[ beta ]==> ((a (^x.a))(b b)) REDUCED to normal form. ------ 96119/8759505. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 96120/8759586. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 96121/8759613. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)(^z.b))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 96122/8759640. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 96123/8759667. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^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. ------ 96124/8759757. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b b)) REDUCED to normal form. ------ 96125/8759784. ------ 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. ------ 96126/8759811. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) b)(a a))) 3. ==[ beta ]==> ((a (a (a a)))(b (a a))) REDUCED to normal form. ------ 96127/8759820. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.b) 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. ------ 96128/8759847. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 96129/8760054. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (b a))) REDUCED to normal form. ------ 96130/8760081. ------ 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))))) REDUCED to normal form. ------ 96131/8760108. ------ 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. ------ 96132/8760126. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 96133/8760171. ------ 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.(^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. ------ 96134/8760198. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 96135/8760252. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 96136/8760261. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 96137/8760288. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)((a a) a))) 5. ==[ beta ]==> (a ((^y.b)((a a) a))) 6. ==[ alpha ]==> (a ((^x.b)((a a) a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 96138/8760306. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.b))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^z.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. ------ 96139/8760315. ------ 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) REDUCED to normal form. ------ 96140/8760333. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^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. ------ 96141/8760342. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(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. ------ 96142/8760369. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a))(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 96143/8760396. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 96144/8760423. ------ 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 (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 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. ------ 96145/8760747. ------ 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))))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 96146/8760792. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1) a)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) 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. ------ 96147/8760945. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 96148/8760972. ------ 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.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(a b))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a b))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 96149/8760999. ------ 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. ------ 96150/8761026. ------ 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)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) 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. ------ 96151/8761053. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(b a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(b a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 96152/8761080. ------ 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. ------ 96153/8761098. ------ 1. ==[ start ]==> (((^a.b) a)(a (^b.b))) 2. ==[ alpha ]==> (((^x.b) a)(a (^y.y))) 3. ==[ beta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 96154/8761116. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((^y.b)((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 96155/8761197. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 96156/8761260. ------ 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) REDUCED to normal form. ------ 96157/8761278. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 96158/8761287. ------ 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. ------ 96159/8761305. ------ 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. ------ 96160/8761314. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.b))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.b))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 96161/8761368. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^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. ------ 96162/8761386. ------ 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 a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 96163/8761395. ------ 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 (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 96164/8761422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))(^z1.z1))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))(^y1.y1))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 96165/8761467. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 96166/8761476. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^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. ------ 96167/8761674. ------ 1. ==[ start ]==> (((a b)(a a))(b (b a))) REDUCED to normal form. ------ 96168/8761701. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 96169/8761710. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 96170/8761935. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 96171/8762007. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((b a)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a)(^y1.y1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((b a)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.z))) 9. ==[ beta ]==> ((^y.y)((b a)(^z.z))) 10. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 11. ==[ beta ]==> ((b a)(^y.y)) 12. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 96172/8762070. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 96173/8762088. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (b ((a b)(^z.(z z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(x x)))) REDUCED to normal form. ------ 96174/8762097. ------ 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. ------ 96175/8762313. ------ 1. ==[ start ]==> (((^a.b) c)((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 96176/8762745. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96177/8762772. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 96178/8762853. ------ 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 a)) REDUCED to normal form. ------ 96179/8763303. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 96180/8763474. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c (^z.b))) 3. ==[ beta ]==> ((a (^y.(a a)))(c (^z.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.b))) REDUCED to normal form. ------ 96181/8763501. ------ 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. ------ 96182/8763555. ------ 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))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 96183/8763573. ------ 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. ------ 96184/8763582. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 96185/8763609. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 96186/8763636. ------ 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. ------ 96187/8763960. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96188/8763969. ------ 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 (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 96189/8763978. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a)) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 96190/8764248. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^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. ------ 96191/8764257. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 96192/8764275. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 96193/8764284. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 96194/8764302. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 96195/8764356. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a)(^z.b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)(^z.b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)(^z.b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)(^z.b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(^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. ------ 96196/8764365. ------ 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. ------ 96197/8764392. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((^y.b)((^z.b)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.b)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 96198/8764437. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1)) 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. ------ 96199/8764446. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^a.a))(^b.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. ------ 96200/8764473. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 96201/8764500. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.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. ------ 96202/8764554. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.b)) REDUCED to normal form. ------ 96203/8764572. ------ 1. ==[ start ]==> ((a (^b.b))((^a.b) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.b) a)) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 96204/8764590. ------ 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. ------ 96205/8764617. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(a (^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. ------ 96206/8764644. ------ 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) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 96207/8764671. ------ 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. ------ 96208/8764698. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)((a (^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b)((a (^x.x))(^z.z))) 8. ==[ alpha ]==> ((a b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 96209/8764725. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 96210/8764851. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.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. ------ 96211/8764896. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 96212/8764923. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((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. ------ 96213/8765175. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (^z.(z z)))) REDUCED to normal form. ------ 96214/8765202. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (^b.(^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. ------ 96215/8765229. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 96216/8765247. ------ 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))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.x2))) 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. ------ 96217/8765256. ------ 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))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 96218/8765301. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^x1.a))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 96219/8765337. ------ 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 (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. ------ 96220/8765364. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 96221/8765382. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) 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. ------ 96222/8765391. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(^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. ------ 96223/8765418. ------ 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))(^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. ------ 96224/8765445. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.a)(^b.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. ------ 96225/8765499. ------ 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.(^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. ------ 96226/8765562. ------ 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. ------ 96227/8765589. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1)) a)) REDUCED to normal form. ------ 96228/8765616. ------ 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. ------ 96229/8765697. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c c)) REDUCED to normal form. ------ 96230/8765832. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(b a)) REDUCED to normal form. ------ 96231/8765859. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(a (a (a a)))) 3. ==[ beta ]==> ((b (a a))(a (a (a a)))) REDUCED to normal form. ------ 96232/8765886. ------ 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. ------ 96233/8765922. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 96234/8766057. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^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. ------ 96235/8766165. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^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. ------ 96236/8766201. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a (^b.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. ------ 96237/8766228. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 96238/8766246. ------ 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. ------ 96239/8766273. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((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. ------ 96240/8766282. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 96241/8766309. ------ 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)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 96242/8766327. ------ 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 a)(b a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 96243/8766390. ------ 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)(^x.(a a)))(a a)) REDUCED to normal form. ------ 96244/8766408. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a) a)) 2. ==[ alpha ]==> (((^x.b)(a b))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 96245/8766417. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 96246/8768355. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.z))) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96247/8768949. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.(^z1.z1))))(^z.(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.(^z2.z2)))))) 5. ==[ beta ]==> ((^y.(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.(^z2.z2))))) 6. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 96248/8771217. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^x1.(^y1.(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 96249/8771820. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(z b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96250/8773746. ------ 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 a)((^y.(a a))((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((a a) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 96251/8773773. ------ 1. ==[ start ]==> ((^a.b)((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.b)((^y.b)(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 96252/8773854. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(b a))) 3. ==[ beta ]==> (((^z.(z z))(b a))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))(b a))(^y.y)) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 96253/8774289. ------ 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. ------ 96254/8774538. ------ 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. ------ 96255/8774664. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.b)(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)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96256/8774964. ------ 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)) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 96257/8775096. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.(a a))(^z.(^x1.x1)))((^y.(a a))(^z.(^x1.x1))))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.(a a))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1))))((^x2.(a a))(^y2.(^z2.z2)))) 5. ==[ beta ]==> (((a a)((^x1.(a a))(^y1.(^z1.z1))))((^x2.(a a))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> (((a a)((^x.(a a))(^y.(^z.z))))((^x1.(a a))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((a a)(a a))((^x1.(a a))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 96258/8775297. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) 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. ------ 96259/8775429. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 96260/8775609. ------ 1. ==[ start ]==> ((^a.(a b))(a (^b.b))) 2. ==[ alpha ]==> ((^x.(x b))(a (^y.y))) 3. ==[ beta ]==> ((a (^y.y)) b) 4. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 96261/8775612. ------ 1. ==[ start ]==> ((a (a b))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 96262/8776203. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.(^y1.(^z1.z1))))((^z.z)(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.(^y2.(^z2.z2)))))) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 96263/8776206. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 96264/8776215. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(a (^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. ------ 96265/8776773. ------ 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. ------ 96266/8776878. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^z.b)(^x1.(x1 x1)))((^z.b)(^x1.(x1 x1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.b)(^y.(y y)))((^z.b)(^x1.(x1 x1))))(^y1.y1)) 5. ==[ beta ]==> ((b ((^z.b)(^x1.(x1 x1))))(^y1.y1)) 6. ==[ alpha ]==> ((b ((^x.b)(^y.(y y))))(^z.z)) 7. ==[ beta ]==> ((b b)(^z.z)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 96267/8777052. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 96268/8777295. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 96269/8777556. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 96270/8777634. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b)(^b.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. ------ 96271/8777808. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^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. ------ 96272/8778258. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 96273/8778471. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((^x1.x1)(^y1.(a a)))(^y.(^z.z))) 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. ------ 96274/8778474. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 96275/8778483. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.((^z1.z1)(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 96276/8778870. ------ 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. ------ 96277/8779074. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96278/8779077. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(a b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(y b))) REDUCED to normal form. ------ 96279/8779257. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 96280/8779389. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^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. ------ 96281/8779563. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.((^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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 96282/8779725. ------ 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 (^x.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 96283/8779869. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 96284/8780148. ------ 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. ------ 96285/8780256. ------ 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)))) REDUCED to normal form. ------ 96286/8780364. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 96287/8780706. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.c)) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.c)) 3. ==[ beta ]==> ((b b)(^y.c)) 4. ==[ alpha ]==> ((b b)(^x.c)) REDUCED to normal form. ------ 96288/8780778. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 96289/8780832. ------ 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)(b a))(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 96290/8780895. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 96291/8780913. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.b)) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 96292/8780922. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.a)) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.a)) REDUCED to normal form. ------ 96293/8781006. ------ 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 a)) REDUCED to normal form. ------ 96294/8781024. ------ 1. ==[ start ]==> (((a a) a)((a b)(^a.b))) 2. ==[ alpha ]==> (((a a) a)((a b)(^x.b))) REDUCED to normal form. ------ 96295/8781033. ------ 1. ==[ start ]==> ((a b)((^a.b)(a b))) 2. ==[ alpha ]==> ((a b)((^x.b)(a b))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 96296/8781051. ------ 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. ------ 96297/8781078. ------ 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 ((^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. ------ 96298/8781087. ------ 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. ------ 96299/8781114. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(b a))) 3. ==[ beta ]==> ((a (a (^x.x)))((b a)(b a))) REDUCED to normal form. ------ 96300/8781132. ------ 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. ------ 96301/8781159. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 96302/8781213. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(a a)) a)) REDUCED to normal form. ------ 96303/8781249. ------ 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. ------ 96304/8781267. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 96305/8781276. ------ 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 (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 96306/8781492. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 96307/8781519. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 96308/8781582. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) b)(a a))) 5. ==[ beta ]==> ((((^y.y) b)(a a))(((^y.y) 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. ------ 96309/8781609. ------ 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 (^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. ------ 96310/8781663. ------ 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. ------ 96311/8781690. ------ 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. ------ 96312/8781717. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 96313/8781771. ------ 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)(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. ------ 96314/8781798. ------ 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. ------ 96315/8781870. ------ 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. ------ 96316/8781924. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^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. ------ 96317/8782023. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a))(^b.(^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. ------ 96318/8782050. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b)(^z.a))) 3. ==[ beta ]==> (((^y.y) a)((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(^y.a))) 5. ==[ beta ]==> (a ((a b)(^y.a))) 6. ==[ alpha ]==> (a ((a b)(^x.a))) REDUCED to normal form. ------ 96319/8782077. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.b))) REDUCED to normal form. ------ 96320/8782104. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(a a))) REDUCED to normal form. ------ 96321/8782131. ------ 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. ------ 96322/8782185. ------ 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))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 96323/8782221. ------ 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)(^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. ------ 96324/8782248. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^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. ------ 96325/8782275. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 96326/8782356. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 96327/8782527. ------ 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. ------ 96328/8782554. ------ 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)(a ((^y1.y1) 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. ------ 96329/8782563. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 96330/8782590. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 96331/8782608. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)(a (^z.z)))) 5. ==[ beta ]==> ((a ((^y.y) a))((b a)(a (^z.z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((b a)(a (^y.y)))) 7. ==[ beta ]==> ((a a)((b a)(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 96332/8782689. ------ 1. ==[ start ]==> ((a (^a.b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.b))((a b)(^z.z))) 4. ==[ alpha ]==> ((a (^x.b))((a b)(^y.y))) REDUCED to normal form. ------ 96333/8782842. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 96334/8782869. ------ 1. ==[ start ]==> ((a (a b))(a (^b.b))) 2. ==[ alpha ]==> ((a (a b))(a (^x.x))) REDUCED to normal form. ------ 96335/8783022. ------ 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. ------ 96336/8783049. ------ 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. ------ 96337/8783076. ------ 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. ------ 96338/8783157. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 96339/8783184. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.(^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 REDUCED to normal form. ------ 96340/8783211. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a) b)) REDUCED to normal form. ------ 96341/8783238. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 96342/8783274. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 96343/8783301. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 96344/8783355. ------ 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. ------ 96345/8783382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(a a)))) 7. ==[ beta ]==> (a ((^y.(y y))(^z.(a a)))) 8. ==[ alpha ]==> (a ((^x.(x x))(^y.(a a)))) 9. ==[ beta ]==> (a ((^y.(a a))(^y.(a a)))) 10. ==[ alpha ]==> (a ((^x.(a a))(^y.(a a)))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 96346/8783409. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)(^c.(^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. ------ 96347/8783463. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^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. ------ 96348/8783472. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(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))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 96349/8783499. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 96350/8783553. ------ 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 a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 9. ==[ beta ]==> ((a a)((^y.y) a)) 10. ==[ alpha ]==> ((a a)((^x.x) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 96351/8783634. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 96352/8783688. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^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)(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. ------ 96353/8783715. ------ 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 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. ------ 96354/8783778. ------ 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. ------ 96355/8783805. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^y.y))(^z.(^x1.x1)))(((a a)(^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 96356/8783832. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(a a))(^b.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. ------ 96357/8783859. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 96358/8783886. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a) a)(^b.(^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. ------ 96359/8783922. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^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))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 96360/8783949. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a b)(a b))) REDUCED to normal form. ------ 96361/8783976. ------ 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)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 96362/8784003. ------ 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. ------ 96363/8784030. ------ 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. ------ 96364/8784075. ------ 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)) REDUCED to normal form. ------ 96365/8784084. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^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. ------ 96366/8784111. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(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. ------ 96367/8784138. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 96368/8784309. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 96369/8784318. ------ 1. ==[ start ]==> (((a b) c)((^d.a) a)) 2. ==[ alpha ]==> (((a b) c)((^x.a) a)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 96370/8784345. ------ 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)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 96371/8784372. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a)) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 96372/8784390. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a b) a)) REDUCED to normal form. ------ 96373/8784417. ------ 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. ------ 96374/8784471. ------ 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. ------ 96375/8784552. ------ 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 a)(^z.z)))) 4. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 96376/8784588. ------ 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))) REDUCED to normal form. ------ 96377/8784615. ------ 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)(^x.x))(^y.y))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 96378/8784651. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 96379/8784705. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 96380/8784732. ------ 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. ------ 96381/8784759. ------ 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.a)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a b))) 7. ==[ beta ]==> ((^y.y)((^z.a)(a b))) 8. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 9. ==[ beta ]==> ((^y.a)(a b)) 10. ==[ alpha ]==> ((^x.a)(a b)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 96382/8784786. ------ 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. ------ 96383/8784813. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 96384/8784867. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 96385/8784894. ------ 1. ==[ start ]==> ((a (b a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (b a))((^x.b)(^y.a))) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 96386/8785065. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 96387/8785128. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.b) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 96388/8785173. ------ 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. ------ 96389/8785200. ------ 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. ------ 96390/8785254. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))(a b))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(a b))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(a b))) REDUCED to normal form. ------ 96391/8785317. ------ 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))(^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. ------ 96392/8785344. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 96393/8785371. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a) a)(^b.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. ------ 96394/8785398. ------ 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))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 96395/8785461. ------ 1. ==[ start ]==> (((a a)(b a))((^b.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. ------ 96396/8785488. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^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. ------ 96397/8785515. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^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. ------ 96398/8785542. ------ 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. ------ 96399/8785569. ------ 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.(^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. ------ 96400/8785623. ------ 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. ------ 96401/8785650. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 96402/8785677. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 96403/8785731. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(a a))) REDUCED to normal form. ------ 96404/8785740. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 96405/8785821. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a a)(((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 8. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 9. ==[ beta ]==> ((a a)((^y.y) a)) 10. ==[ alpha ]==> ((a a)((^x.x) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 96406/8785902. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> (b ((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 96407/8786019. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.a)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.a)) REDUCED to normal form. ------ 96408/8786046. ------ 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))(^x1.(x1 x1)))) REDUCED to normal form. ------ 96409/8786127. ------ 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. ------ 96410/8786154. ------ 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. ------ 96411/8786208. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1) c)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) c)) 5. ==[ beta ]==> (((a b)(^x.(^y.y))) c) REDUCED to normal form. ------ 96412/8786307. ------ 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))(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. ------ 96413/8786334. ------ 1. ==[ start ]==> ((a (^b.b))(a (a b))) 2. ==[ alpha ]==> ((a (^x.x))(a (a b))) REDUCED to normal form. ------ 96414/8786460. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 96415/8786487. ------ 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. ------ 96416/8786514. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a (^z.b))) 3. ==[ beta ]==> (((a b)(^y.y))(a (^z.b))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 96417/8786568. ------ 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.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(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. ------ 96418/8786613. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96419/8786622. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 96420/8786649. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^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. ------ 96421/8786820. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 96422/8786928. ------ 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)((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a)((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96423/8786982. ------ 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. ------ 96424/8787018. ------ 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))(^x2.x2))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 96425/8787099. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.(z z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 96426/8787126. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 96427/8787153. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z) a)) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y) a)) 5. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 96428/8787180. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 96429/8787252. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 96430/8787288. ------ 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. ------ 96431/8787378. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b (^y.(y y)))) 3. ==[ beta ]==> ((a (b a))(b (^y.(y y)))) 4. ==[ alpha ]==> ((a (b a))(b (^x.(x x)))) REDUCED to normal form. ------ 96432/8787405. ------ 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. ------ 96433/8787432. ------ 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))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a a))) 7. ==[ beta ]==> ((a a)((^y.(y y))(a a))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(a a))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 96434/8787459. ------ 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. ------ 96435/8787486. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^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. ------ 96436/8787513. ------ 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. ------ 96437/8787540. ------ 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. ------ 96438/8787594. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(^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. ------ 96439/8787621. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) 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)))) 5. ==[ beta ]==> ((b (a a))(^y.(y y))) 6. ==[ alpha ]==> ((b (a a))(^x.(x x))) REDUCED to normal form. ------ 96440/8787684. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (^y1.y1)))) 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. ------ 96441/8787927. ------ 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. ------ 96442/8787963. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.y) c)) 3. ==[ beta ]==> ((b b)((^y.y) c)) 4. ==[ alpha ]==> ((b b)((^x.x) c)) 5. ==[ beta ]==> ((b b) c) REDUCED to normal form. ------ 96443/8787990. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 96444/8788008. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b b)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(b b)) 3. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 96445/8788035. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(a c)) 3. ==[ beta ]==> ((^y.y)(a c)) 4. ==[ alpha ]==> ((^x.x)(a c)) 5. ==[ beta ]==> (a c) REDUCED to normal form. ------ 96446/8788044. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z)) a)) REDUCED to normal form. ------ 96447/8788071. ------ 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. ------ 96448/8788089. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a (a (^y.y)))) 3. ==[ beta ]==> (((b a)(b a))(a (a (^y.y)))) 4. ==[ alpha ]==> (((b a)(b a))(a (a (^x.x)))) REDUCED to normal form. ------ 96449/8788152. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 96450/8788170. ------ 1. ==[ start ]==> (((^a.b)(a b))(a b)) 2. ==[ alpha ]==> (((^x.b)(a b))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 96451/8788179. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a) a)) 2. ==[ alpha ]==> (((a b)(^x.b))((a a) a)) REDUCED to normal form. ------ 96452/8788232. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 96453/8788233. ------ 1. ==[ start ]==> (a (((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 96454/8793591. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96455/8795493. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a))) a) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 96456/8795499. ------ 1. ==[ start ]==> ((^a.a)(((a a)(^a.a))(^b.(^a.a)))) 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. ------ 96457/8795553. ------ 1. ==[ start ]==> ((^a.b)((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.b)((a b)(^y.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 96458/8795727. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 96459/8795751. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (^y.((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (^x.((^y.(a a))(^z.z))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 96460/8796087. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((y y)(y y)))) 3. ==[ beta ]==> ((a a)(^y.((y y)(y y)))) 4. ==[ alpha ]==> ((a a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 96461/8796411. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((^z.z) b))) 3. ==[ beta ]==> ((b b)(^y.((^z.z) b))) 4. ==[ alpha ]==> ((b b)(^x.((^y.y) b))) 5. ==[ beta ]==> ((b b)(^x.b)) REDUCED to normal form. ------ 96462/8796444. ------ 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. ------ 96463/8797077. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 96464/8797086. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 96465/8797383. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(a (^a.(^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))))) REDUCED to normal form. ------ 96466/8797401. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(^b.b))) 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. ------ 96467/8797776. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.a))((^z.(^x1.x1))(^y1.a)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a)))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(^x2.a)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.a)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.a))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.a))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 96468/8797995. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 96469/8798292. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 11. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 12. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 96470/8798841. ------ 1. ==[ start ]==> (((a b) c)(^a.(b a))) 2. ==[ alpha ]==> (((a b) c)(^x.(b x))) 3. ==[ eta ]==> (((a b) c) b) REDUCED to normal form. ------ 96471/8799084. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 96472/8799336. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) 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. ------ 96473/8799414. ------ 1. ==[ start ]==> ((^a.(b a))((a b) c)) 2. ==[ alpha ]==> ((^x.(b x))((a b) c)) 3. ==[ eta ]==> (b ((a b) c)) REDUCED to normal form. ------ 96474/8799588. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 96475/8799963. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 96476/8800263. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 96477/8800854. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96478/8800857. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 96479/8801169. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 96480/8801208. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z1.((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. ------ 96481/8801514. ------ 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))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 96482/8801667. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.((^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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 96483/8801811. ------ 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. ------ 96484/8802144. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.d)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.d)) 3. ==[ beta ]==> ((b (a a))(^y.d)) 4. ==[ alpha ]==> ((b (a a))(^x.d)) REDUCED to normal form. ------ 96485/8802168. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(y y)) a)) 3. ==[ beta ]==> ((((^y.(y y)) a)((^y.(y y)) a))(((^y.(y y)) a)((^y.(y y)) a))) 4. ==[ alpha ]==> ((((^x.(x x)) a)((^y.(y y)) a))(((^z.(z z)) a)((^x1.(x1 x1)) a))) 5. ==[ beta ]==> (((a a)((^y.(y y)) a))(((^z.(z z)) a)((^x1.(x1 x1)) a))) 6. ==[ alpha ]==> (((a a)((^x.(x x)) a))(((^y.(y y)) a)((^z.(z z)) a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.(y y)) a)((^z.(z z)) a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.(x x)) a)((^y.(y y)) a))) 9. ==[ beta ]==> (((a a)(a a))((a a)((^y.(y y)) a))) 10. ==[ alpha ]==> (((a a)(a a))((a a)((^x.(x x)) a))) 11. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 96486/8802342. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^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. ------ 96487/8802486. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(a (^z.z)))) 3. ==[ beta ]==> ((b b)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((b b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 96488/8802558. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 96489/8802567. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.c)) REDUCED to normal form. ------ 96490/8802612. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 96491/8802693. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(a a))) 3. ==[ beta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 96492/8802702. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.b)) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.b)) REDUCED to normal form. ------ 96493/8802756. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 96494/8802768. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 96495/8802804. ------ 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 a) REDUCED to normal form. ------ 96496/8802822. ------ 1. ==[ start ]==> ((a b)((a b)(^a.b))) 2. ==[ alpha ]==> ((a b)((a b)(^x.b))) REDUCED to normal form. ------ 96497/8802831. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(a b))) 3. ==[ beta ]==> ((a a)((^y.b)(a b))) 4. ==[ alpha ]==> ((a a)((^x.b)(a b))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 96498/8802912. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96499/8802939. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 96500/8802966. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 96501/8802993. ------ 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)((^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. ------ 96502/8803020. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 96503/8803038. ------ 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. ------ 96504/8803182. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.b))) 5. ==[ beta ]==> (a ((^y.b)(^z.b))) 6. ==[ alpha ]==> (a ((^x.b)(^y.b))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 96505/8803353. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a ((a a)(a a)))) 3. ==[ beta ]==> ((a a)(a ((a a)(a a)))) REDUCED to normal form. ------ 96506/8803434. ------ 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. ------ 96507/8803461. ------ 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. ------ 96508/8803488. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((^y.y)(^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. ------ 96509/8803515. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)((a a) a))) REDUCED to normal form. ------ 96510/8803542. ------ 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. ------ 96511/8803569. ------ 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. ------ 96512/8803677. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a)((^y.y) b))) 3. ==[ beta ]==> ((b b)((a a)((^y.y) b))) 4. ==[ alpha ]==> ((b b)((a a)((^x.x) b))) 5. ==[ beta ]==> ((b b)((a a) b)) REDUCED to normal form. ------ 96513/8803713. ------ 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. ------ 96514/8803722. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 96515/8803749. ------ 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 (^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. ------ 96516/8803857. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.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. ------ 96517/8803938. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 96518/8804010. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 96519/8804037. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) b) a)) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b a)) REDUCED to normal form. ------ 96520/8804064. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 96521/8804091. ------ 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. ------ 96522/8804181. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 96523/8804235. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))(^b.(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. ------ 96524/8804316. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^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. ------ 96525/8804343. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)(^b.b))) 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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96526/8804352. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 96527/8804379. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 96528/8804406. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((b a)(a (^y.y)))) REDUCED to normal form. ------ 96529/8804433. ------ 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)(^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. ------ 96530/8804460. ------ 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. ------ 96531/8804649. ------ 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 ((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 96532/8804667. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.z))) 3. ==[ beta ]==> ((^y.b)(a (^z.z))) 4. ==[ alpha ]==> ((^x.b)(a (^y.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 96533/8804829. ------ 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) REDUCED to normal form. ------ 96534/8804856. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 96535/8804883. ------ 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.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. ------ 96536/8804937. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(b 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. ------ 96537/8805045. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 96538/8805216. ------ 1. ==[ start ]==> (((^a.b) b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(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. ------ 96539/8805261. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 96540/8805432. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a b) b)((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a b) b)((^x.x)((a a) a))) 5. ==[ beta ]==> (((a b) b)((a a) a)) REDUCED to normal form. ------ 96541/8805459. ------ 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. ------ 96542/8805486. ------ 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.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 96543/8805504. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(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. ------ 96544/8805513. ------ 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 a)(^x1.x1)))) REDUCED to normal form. ------ 96545/8805558. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(^y1.(^z1.z1))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.(^y1.y1))))) 9. ==[ beta ]==> ((^y.y)(a (^z.(^x1.(^y1.y1))))) 10. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 11. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 12. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 96546/8805639. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 96547/8805738. ------ 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. ------ 96548/8805765. ------ 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.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((a ((a a) a))(a (^y.(a a)))) 6. ==[ alpha ]==> ((a ((a a) a))(a (^x.(a a)))) REDUCED to normal form. ------ 96549/8805846. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((b a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((b a) a)) 3. ==[ beta ]==> ((((a a) a) a)((b a) a)) REDUCED to normal form. ------ 96550/8805873. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 96551/8805963. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 96552/8806107. ------ 1. ==[ start ]==> (((a b) c)(a (b a))) REDUCED to normal form. ------ 96553/8806134. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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))) REDUCED to normal form. ------ 96554/8806161. ------ 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. ------ 96555/8806215. ------ 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. ------ 96556/8806242. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.b))(^z.z)) 10. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 96557/8806296. ------ 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) a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96558/8806323. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 96559/8806341. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 96560/8806350. ------ 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. ------ 96561/8806440. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a b)(^y.a))) REDUCED to normal form. ------ 96562/8806467. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 96563/8806494. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a b))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 96564/8806548. ------ 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) a)(^z1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.b))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.b))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 9. ==[ beta ]==> (((^y.y) a)(^z.b)) 10. ==[ alpha ]==> (((^x.x) a)(^y.b)) 11. ==[ beta ]==> (a (^y.b)) 12. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 96565/8806575. ------ 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. ------ 96566/8806602. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(^c.(^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. ------ 96567/8806629. ------ 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. ------ 96568/8806656. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a) b)) REDUCED to normal form. ------ 96569/8806683. ------ 1. ==[ start ]==> ((a (b a))((a b) c)) REDUCED to normal form. ------ 96570/8806773. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (b ((^z.(z z))(^x1.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. ------ 96571/8806854. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(^c.(^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)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 96572/8806917. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b)(a (^y.y)))) REDUCED to normal form. ------ 96573/8807025. ------ 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))) 5. ==[ beta ]==> ((a (^x.(a a)))(a ((a a) a))) REDUCED to normal form. ------ 96574/8807043. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c (^y.b))) 3. ==[ beta ]==> (((a b)(a b))(c (^y.b))) 4. ==[ alpha ]==> (((a b)(a b))(c (^x.b))) REDUCED to normal form. ------ 96575/8807052. ------ 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. ------ 96576/8807124. ------ 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. ------ 96577/8807232. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(((^y1.y1)(^z1.z1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 9. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 10. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 96578/8807250. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) 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. ------ 96579/8807277. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 96580/8807304. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.(a a)))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 96581/8807331. ------ 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. ------ 96582/8807358. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a b) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))((a b) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a b) b)) 5. ==[ beta ]==> (((a a) a)((a b) b)) REDUCED to normal form. ------ 96583/8807511. ------ 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. ------ 96584/8807529. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 96585/8807691. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (b (c (^x1.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 96586/8807826. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 96587/8807853. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^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. ------ 96588/8807907. ------ 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))((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. ------ 96589/8807988. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.a)(^a.(^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. ------ 96590/8808105. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b ((a a) a))) REDUCED to normal form. ------ 96591/8808123. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a (^x.x))(^z.b)) 4. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 96592/8808141. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.b) a)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 96593/8808168. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a) b)) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 96594/8808195. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 96595/8808330. ------ 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. ------ 96596/8808357. ------ 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)(^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. ------ 96597/8808411. ------ 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)(^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. ------ 96598/8808438. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) REDUCED to normal form. ------ 96599/8808447. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^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. ------ 96600/8808474. ------ 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)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)((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. ------ 96601/8808609. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^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. ------ 96602/8808726. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) 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. ------ 96603/8808753. ------ 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. ------ 96604/8808771. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (^b.(^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. ------ 96605/8808780. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)((^a.a)(^a.a)))) 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. ------ 96606/8808852. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 96607/8808888. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c d)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c d)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c d)) 5. ==[ beta ]==> ((^y.(a a))(c d)) 6. ==[ alpha ]==> ((^x.(a a))(c d)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 96608/8808933. ------ 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 ((^y.y)((^z.z)(^x1.x1)))) 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. ------ 96609/8809041. ------ 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.(^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. ------ 96610/8809050. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (a (a a)))) REDUCED to normal form. ------ 96611/8809077. ------ 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. ------ 96612/8809113. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a) b)((^y.(y y)) b)) 4. ==[ alpha ]==> (((a a) b)((^x.(x x)) b)) 5. ==[ beta ]==> (((a a) b)(b b)) REDUCED to normal form. ------ 96613/8809140. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.a) c)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 96614/8809221. ------ 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. ------ 96615/8809248. ------ 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. ------ 96616/8809275. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 96617/8809302. ------ 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)(^y.y))((a a)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 96618/8809329. ------ 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. ------ 96619/8809437. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(x x)) a)) 3. ==[ beta ]==> ((a ((a a)(a a)))(a a)) REDUCED to normal form. ------ 96620/8809473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(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. ------ 96621/8809608. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 96622/8809716. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c (^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96623/8809752. ------ 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. ------ 96624/8809797. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(^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))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 96625/8809824. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^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. ------ 96626/8809833. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a c)) REDUCED to normal form. ------ 96627/8809860. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b (a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b (a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (a a))) REDUCED to normal form. ------ 96628/8809878. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((b a)(b a))(^y.(^z.z))) 6. ==[ alpha ]==> (((b a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 96629/8809941. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b a)) REDUCED to normal form. ------ 96630/8809959. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 96631/8809968. ------ 1. ==[ start ]==> (((a b)(^a.b))(a b)) 2. ==[ alpha ]==> (((a b)(^x.b))(a b)) REDUCED to normal form. ------ 96632/8810022. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 96633/8810628. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((y y)(y y)))) 3. ==[ beta ]==> ((^y.((y y)(y y)))((^y.((y y)(y y)))(^y.((y y)(y y))))) 4. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.((y y)(y y)))(^z.((z z)(z z))))) 5. ==[ beta ]==> ((((^y.((y y)(y y)))(^z.((z z)(z z))))((^y.((y y)(y y)))(^z.((z z)(z z)))))(((^y.((y y)(y y)))(^z.((z z)(z z))))((^y.((y y)(y y)))(^z.((z z)(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 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))) 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 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))) 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 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))) 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 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))) 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 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))) 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 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))) 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 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))) 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 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))) 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 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))) 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 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))) 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 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))) 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 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))) 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 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))) 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 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))) 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 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))) 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 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))) 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 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))) 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 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))) 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 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))) 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 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))) 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 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))) 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 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))) 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 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9))))((^y9.((y9 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9)))))) 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 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9))))((^y9.((y9 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9)))))) 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 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9))))((^x10.((x10 x10)(x10 x10)))(^y10.((y10 y10)(y10 y10)))))) 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 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9))))((^x10.((x10 x10)(x10 x10)))(^y10.((y10 y10)(y10 y10)))))) 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 x10)(x10 x10)))(^y10.((y10 y10)(y10 y10))))((^z10.((z10 z10)(z10 z10)))(^x11.((x11 x11)(x11 x11)))))) 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 x10)(x10 x10)))(^y10.((y10 y10)(y10 y10))))((^z10.((z10 z10)(z10 z10)))(^x11.((x11 x11)(x11 x11)))))) 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 z10)(z10 z10)))(^x11.((x11 x11)(x11 x11))))((^y11.((y11 y11)(y11 y11)))(^z11.((z11 z11)(z11 z11)))))) 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 z10)(z10 z10)))(^x11.((x11 x11)(x11 x11))))((^y11.((y11 y11)(y11 y11)))(^z11.((z11 z11)(z11 z11)))))) UNREDUCED: maximal number of reductions reached. ------ 96634/8811924. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(a (^a.(^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 (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 96635/8816703. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(y (y y)))) 3. ==[ beta ]==> (((^y.(y (y y)))(^y.(y (y y))))((^y.(y (y y)))(^y.(y (y y))))) 4. ==[ alpha ]==> (((^x.(x (x x)))(^y.(y (y y))))((^z.(z (z z)))(^x1.(x1 (x1 x1))))) 5. ==[ beta ]==> (((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y)))))((^z.(z (z z)))(^x1.(x1 (x1 x1))))) 6. ==[ alpha ]==> (((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z)))))((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))) 7. ==[ beta ]==> ((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z))))))((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))) 8. ==[ alpha ]==> ((((^x.(x (x x)))(^y.(y (y y))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))) 9. ==[ beta ]==> ((((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y)))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))) 10. ==[ alpha ]==> ((((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z)))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))) 11. ==[ beta ]==> (((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z))))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))) 12. ==[ alpha ]==> (((((^x.(x (x x)))(^y.(y (y y))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))(((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))) 13. ==[ beta ]==> (((((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y)))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))(((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))) 14. ==[ alpha ]==> (((((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z)))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))(((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3))))))((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))) 15. ==[ beta ]==> ((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z))))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))(((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3))))))((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))) 16. ==[ alpha ]==> ((((((^x.(x (x x)))(^y.(y (y y))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))(((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))) 17. ==[ beta ]==> ((((((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y)))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))(((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))) 18. ==[ alpha ]==> ((((((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z)))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))(((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3))))))(((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4))))))((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))) 19. ==[ beta ]==> (((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z))))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))(((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3))))))(((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4))))))((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))) 20. ==[ alpha ]==> (((((((^x.(x (x x)))(^y.(y (y y))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))(((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))) 21. ==[ beta ]==> (((((((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y)))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))(((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))) 22. ==[ alpha ]==> (((((((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z)))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))(((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3))))))(((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))) 23. ==[ beta ]==> ((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z))))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))(((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3))))))(((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))) 24. ==[ alpha ]==> ((((((((^x.(x (x x)))(^y.(y (y y))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))(((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))) 25. ==[ beta ]==> ((((((((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y)))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))(((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))) 26. ==[ alpha ]==> ((((((((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z)))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))(((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3))))))(((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))) 27. ==[ beta ]==> (((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z))))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))(((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3))))))(((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))) 28. ==[ alpha ]==> (((((((((^x.(x (x x)))(^y.(y (y y))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))(((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))) 29. ==[ beta ]==> (((((((((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y)))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))(((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))) 30. ==[ alpha ]==> (((((((((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z)))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))(((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3))))))(((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8))))))((^x9.(x9 (x9 x9)))(^y9.(y9 (y9 y9))))) 31. ==[ beta ]==> ((((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z))))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))(((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3))))))(((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8))))))((^x9.(x9 (x9 x9)))(^y9.(y9 (y9 y9))))) 32. ==[ alpha ]==> ((((((((((^x.(x (x x)))(^y.(y (y y))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))(((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))((^y9.(y9 (y9 y9)))(^z9.(z9 (z9 z9))))))((^x10.(x10 (x10 x10)))(^y10.(y10 (y10 y10))))) 33. ==[ beta ]==> ((((((((((^y.(y (y y)))((^y.(y (y y)))(^y.(y (y y)))))(((^z.(z (z z)))(^x1.(x1 (x1 x1))))((^y1.(y1 (y1 y1)))(^z1.(z1 (z1 z1))))))(((^x2.(x2 (x2 x2)))(^y2.(y2 (y2 y2))))((^z2.(z2 (z2 z2)))(^x3.(x3 (x3 x3))))))(((^y3.(y3 (y3 y3)))(^z3.(z3 (z3 z3))))((^x4.(x4 (x4 x4)))(^y4.(y4 (y4 y4))))))(((^z4.(z4 (z4 z4)))(^x5.(x5 (x5 x5))))((^y5.(y5 (y5 y5)))(^z5.(z5 (z5 z5))))))(((^x6.(x6 (x6 x6)))(^y6.(y6 (y6 y6))))((^z6.(z6 (z6 z6)))(^x7.(x7 (x7 x7))))))(((^y7.(y7 (y7 y7)))(^z7.(z7 (z7 z7))))((^x8.(x8 (x8 x8)))(^y8.(y8 (y8 y8))))))(((^z8.(z8 (z8 z8)))(^x9.(x9 (x9 x9))))((^y9.(y9 (y9 y9)))(^z9.(z9 (z9 z9))))))((^x10.(x10 (x10 x10)))(^y10.(y10 (y10 y10))))) 34. ==[ alpha ]==> ((((((((((^x.(x (x x)))((^y.(y (y y)))(^z.(z (z z)))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))(((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3))))))(((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8))))))(((^x9.(x9 (x9 x9)))(^y9.(y9 (y9 y9))))((^z9.(z9 (z9 z9)))(^x10.(x10 (x10 x10))))))((^y10.(y10 (y10 y10)))(^z10.(z10 (z10 z10))))) 35. ==[ beta ]==> (((((((((((^y.(y (y y)))(^z.(z (z z))))(((^y.(y (y y)))(^z.(z (z z))))((^y.(y (y y)))(^z.(z (z z))))))(((^x1.(x1 (x1 x1)))(^y1.(y1 (y1 y1))))((^z1.(z1 (z1 z1)))(^x2.(x2 (x2 x2))))))(((^y2.(y2 (y2 y2)))(^z2.(z2 (z2 z2))))((^x3.(x3 (x3 x3)))(^y3.(y3 (y3 y3))))))(((^z3.(z3 (z3 z3)))(^x4.(x4 (x4 x4))))((^y4.(y4 (y4 y4)))(^z4.(z4 (z4 z4))))))(((^x5.(x5 (x5 x5)))(^y5.(y5 (y5 y5))))((^z5.(z5 (z5 z5)))(^x6.(x6 (x6 x6))))))(((^y6.(y6 (y6 y6)))(^z6.(z6 (z6 z6))))((^x7.(x7 (x7 x7)))(^y7.(y7 (y7 y7))))))(((^z7.(z7 (z7 z7)))(^x8.(x8 (x8 x8))))((^y8.(y8 (y8 y8)))(^z8.(z8 (z8 z8))))))(((^x9.(x9 (x9 x9)))(^y9.(y9 (y9 y9))))((^z9.(z9 (z9 z9)))(^x10.(x10 (x10 x10))))))((^y10.(y10 (y10 y10)))(^z10.(z10 (z10 z10))))) UNREDUCED: maximal number of reductions reached. ------ 96636/8817291. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a))) b) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 96637/8817315. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(^a.a))(^b.(^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. ------ 96638/8817396. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 96639/8817543. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((a a)(a a)))) REDUCED to normal form. ------ 96640/8817558. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(a a)) a)) 3. ==[ beta ]==> (^y.(((a a)(a a)) a)) 4. ==[ alpha ]==> (^x.(((a a)(a a)) a)) REDUCED to normal form. ------ 96641/8817894. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 96642/8817900. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((a ((a a)(a a)))(a ((a a)(a a))))) REDUCED to normal form. ------ 96643/8817903. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((x x)(x x)))) REDUCED to normal form. ------ 96644/8818893. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 96645/8819196. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a (^y.(^z.z)))) b) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 96646/8819199. ------ 1. ==[ start ]==> ((a (a b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 96647/8819514. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)(^z.(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.a)(^y.(a (^z.(^x1.x1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 96648/8819583. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(^z.z)) c)) 3. ==[ beta ]==> (^y.((((a a)(^z.z)) c)(((a a)(^z.z)) c))) 4. ==[ alpha ]==> (^x.((((a a)(^y.y)) c)(((a a)(^z.z)) c))) REDUCED to normal form. ------ 96649/8819790. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (b a))) 3. ==[ beta ]==> ((^y.y)((b (b a))(b (b a)))) 4. ==[ alpha ]==> ((^x.x)((b (b a))(b (b a)))) 5. ==[ beta ]==> ((b (b a))(b (b a))) REDUCED to normal form. ------ 96650/8820108. ------ 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. ------ 96651/8820648. ------ 1. ==[ start ]==> (((a b) c)(^b.(^d.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.a))) REDUCED to normal form. ------ 96652/8821647. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 96653/8821770. ------ 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. ------ 96654/8822058. ------ 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. ------ 96655/8822484. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.b)) a) 4. ==[ beta ]==> (((^y.y)(^z.b)) a) 5. ==[ alpha ]==> (((^x.x)(^y.b)) a) 6. ==[ beta ]==> ((^y.b) a) 7. ==[ alpha ]==> ((^x.b) a) 8. ==[ beta ]==> b REDUCED to normal form. ------ 96656/8822682. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(z b))) REDUCED to normal form. ------ 96657/8822844. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 96658/8823474. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(^b.(^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. ------ 96659/8823483. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 96660/8823618. ------ 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. ------ 96661/8823975. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a (a (a a)))) 3. ==[ beta ]==> (((a (a (a a)))(a (a (a a))))((a (a (a a)))(a (a (a a))))) REDUCED to normal form. ------ 96662/8823978. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(x (x x)))) REDUCED to normal form. ------ 96663/8824149. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 96664/8824320. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.x))) REDUCED to normal form. ------ 96665/8824365. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 96666/8824374. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 96667/8824419. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.b)) 3. ==[ beta ]==> (((b a)(b a))(^y.b)) 4. ==[ alpha ]==> (((b a)(b a))(^x.b)) REDUCED to normal form. ------ 96668/8824482. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 96669/8824500. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 96670/8824509. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 96671/8824563. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 96672/8824593. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 96673/8824629. ------ 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 a)) REDUCED to normal form. ------ 96674/8824647. ------ 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. ------ 96675/8824656. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a b))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 96676/8824674. ------ 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. ------ 96677/8824683. ------ 1. ==[ start ]==> (((^a.a) b)((^c.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 a) REDUCED to normal form. ------ 96678/8824710. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 96679/8824737. ------ 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. ------ 96680/8824755. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^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. ------ 96681/8824764. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 96682/8824782. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))(^b.b))) 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))) REDUCED to normal form. ------ 96683/8824791. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 96684/8824818. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^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. ------ 96685/8824836. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(a a)) a)) REDUCED to normal form. ------ 96686/8824872. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 96687/8824953. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 96688/8824980. ------ 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))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 96689/8825007. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 96690/8825061. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))(^c.(^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. ------ 96691/8825151. ------ 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. ------ 96692/8825178. ------ 1. ==[ start ]==> ((a (a (a a)))(a ((a a)(a a)))) REDUCED to normal form. ------ 96693/8825214. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 96694/8825421. ------ 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. ------ 96695/8825448. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(b a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (b a))) REDUCED to normal form. ------ 96696/8825475. ------ 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. ------ 96697/8825493. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (^y.y))) 3. ==[ beta ]==> ((b b)(b (^y.y))) 4. ==[ alpha ]==> ((b b)(b (^x.x))) REDUCED to normal form. ------ 96698/8825502. ------ 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. ------ 96699/8825538. ------ 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. ------ 96700/8825565. ------ 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.(^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. ------ 96701/8825619. ------ 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))(^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. ------ 96702/8825628. ------ 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. ------ 96703/8825655. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.(a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 96704/8825673. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.a))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.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. ------ 96705/8825682. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 96706/8825700. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 96707/8825736. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 96708/8825763. ------ 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 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. ------ 96709/8825790. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(b a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 7. ==[ beta ]==> ((^y.a)(b a)) 8. ==[ alpha ]==> ((^x.a)(b a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 96710/8826087. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 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. ------ 96711/8826168. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 96712/8826213. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1))) b)) 7. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) b)) 8. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) b)) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 96713/8826312. ------ 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. ------ 96714/8826339. ------ 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. ------ 96715/8826366. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)(a b))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a b))) 7. ==[ beta ]==> ((a (a (a a)))(a b)) REDUCED to normal form. ------ 96716/8826393. ------ 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. ------ 96717/8826420. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(a ((a a)(^z.z)))) 8. ==[ alpha ]==> ((a (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 96718/8826447. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 96719/8826465. ------ 1. ==[ start ]==> (((^a.b) a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 96720/8826474. ------ 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. ------ 96721/8826564. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))(^x1.a))) IRREDUCIBLE: cycle. ------ 96722/8826627. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 96723/8826645. ------ 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 a) a)(^z.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 96724/8826654. ------ 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. ------ 96725/8826672. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.b))) 7. ==[ beta ]==> ((a b)(^y.b)) 8. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 96726/8826681. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 96727/8826699. ------ 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. ------ 96728/8826735. ------ 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)(^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) REDUCED to normal form. ------ 96729/8826762. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(b 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. ------ 96730/8826789. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 96731/8826816. ------ 1. ==[ start ]==> ((((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))) 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. ------ 96732/8826834. ------ 1. ==[ start ]==> (((^a.b)(a a))((b a) b)) 2. ==[ alpha ]==> (((^x.b)(a a))((b a) b)) 3. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 96733/8826861. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 96734/8827032. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 96735/8827041. ------ 1. ==[ start ]==> (((a b)(a a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(c ((a a)(^x.x)))) REDUCED to normal form. ------ 96736/8827068. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (b a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (b a))) 3. ==[ beta ]==> ((a (a a))(b (b a))) REDUCED to normal form. ------ 96737/8827104. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 96738/8827158. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) 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. ------ 96739/8827329. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 96740/8827383. ------ 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. ------ 96741/8827437. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(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. ------ 96742/8827455. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 96743/8827464. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 96744/8827491. ------ 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. ------ 96745/8827680. ------ 1. ==[ start ]==> (((^a.b) c)((^d.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 96746/8827923. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(^d.a))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b) c)(^y.a)) 4. ==[ alpha ]==> (((a b) c)(^x.a)) REDUCED to normal form. ------ 96747/8827995. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a)) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) c)) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 96748/8828166. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 96749/8828778. ------ 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. ------ 96750/8828868. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (^y.b))) REDUCED to normal form. ------ 96751/8828922. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 96752/8828940. ------ 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. ------ 96753/8828949. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 96754/8828976. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 96755/8829048. ------ 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. ------ 96756/8829327. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^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. ------ 96757/8829336. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (a b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (a b))) REDUCED to normal form. ------ 96758/8829426. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a) c)) 5. ==[ beta ]==> ((a a)((^z.a) c)) 6. ==[ alpha ]==> ((a a)((^x.a) c)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 96759/8829615. ------ 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)(^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. ------ 96760/8829642. ------ 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))(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 96761/8829651. ------ 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))((^z1.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. ------ 96762/8829669. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((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. ------ 96763/8829732. ------ 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. ------ 96764/8829759. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(a b))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a b))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 96765/8829804. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 96766/8829813. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.a)(^a.(^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. ------ 96767/8829840. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(^a.a))(^b.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. ------ 96768/8829867. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 96769/8829957. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (a b))) REDUCED to normal form. ------ 96770/8829984. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a) a)(a a))) REDUCED to normal form. ------ 96771/8830011. ------ 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)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.z))) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 96772/8830038. ------ 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. ------ 96773/8830065. ------ 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 (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(a (a a)))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(a (a a)))) 7. ==[ beta ]==> ((a b)(a (a (a a)))) REDUCED to normal form. ------ 96774/8830092. ------ 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. ------ 96775/8830119. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^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))) REDUCED to normal form. ------ 96776/8830218. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96777/8830263. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 96778/8830569. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c (^y.(y y)))) 3. ==[ beta ]==> ((b a)(c (^y.(y y)))) 4. ==[ alpha ]==> ((b a)(c (^x.(x x)))) REDUCED to normal form. ------ 96779/8830596. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 96780/8830668. ------ 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.(^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. ------ 96781/8830704. ------ 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)((^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. ------ 96782/8830731. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^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. ------ 96783/8830749. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a)(^b.(^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. ------ 96784/8830758. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 96785/8830785. ------ 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))(^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. ------ 96786/8830812. ------ 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))(^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. ------ 96787/8830866. ------ 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.(^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. ------ 96788/8830893. ------ 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. ------ 96789/8830929. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (a a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (a a))(a a))) 3. ==[ beta ]==> (((a a) b)((a (a a))(a a))) REDUCED to normal form. ------ 96790/8830956. ------ 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. ------ 96791/8830983. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b 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 (^x.x)) a)) REDUCED to normal form. ------ 96792/8831010. ------ 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. ------ 96793/8831091. ------ 1. ==[ start ]==> (((a b)((a a) a))(c c)) REDUCED to normal form. ------ 96794/8831226. ------ 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. ------ 96795/8831253. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a (a (a a)))) REDUCED to normal form. ------ 96796/8831289. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.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) 7. ==[ beta ]==> a REDUCED to normal form. ------ 96797/8831424. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 96798/8831532. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96799/8831568. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b b)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 96800/8831595. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(a (^x.a))) REDUCED to normal form. ------ 96801/8831613. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (^a.a))(^a.a))) 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. ------ 96802/8831640. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((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. ------ 96803/8831649. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 96804/8831676. ------ 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))(^x2.x2))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 96805/8831694. ------ 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. ------ 96806/8831757. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 96807/8831775. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a a)(^y.y))) 3. ==[ beta ]==> (b ((a a)(^y.y))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 96808/8831784. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(a a))) 3. ==[ beta ]==> (((a b)(^x.b))(a a)) REDUCED to normal form. ------ 96809/8831838. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 96810/8832453. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((^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))))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 96811/8838528. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((^y.(^z.(z z)))(^y.(^z.(z z))))((^y.(^z.(z z)))(^y.(^z.(z z))))) 4. ==[ alpha ]==> (((^x.(^y.(y y)))(^z.(^x1.(x1 x1))))((^y1.(^z1.(z1 z1)))(^x2.(^y2.(y2 y2))))) 5. ==[ beta ]==> ((^y.(y y))((^y1.(^z1.(z1 z1)))(^x2.(^y2.(y2 y2))))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(z z)))(^x1.(^y1.(y1 y1))))) 7. ==[ beta ]==> (((^y.(^z.(z z)))(^x1.(^y1.(y1 y1))))((^y.(^z.(z z)))(^x1.(^y1.(y1 y1))))) 8. ==[ alpha ]==> (((^x.(^y.(y y)))(^z.(^x1.(x1 x1))))((^y1.(^z1.(z1 z1)))(^x2.(^y2.(y2 y2))))) IRREDUCIBLE: cycle. ------ 96812/8839116. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a))) c) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z))) c) REDUCED to normal form. ------ 96813/8839194. ------ 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. ------ 96814/8839275. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^z.(^x1.x1))((a a)(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 96815/8839464. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ eta ]==> ((^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. ------ 96816/8839737. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 96817/8839746. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((^y.(y y))(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((y y)(y y)))) 5. ==[ beta ]==> ((^y.((y y)(y y)))(^y.((y y)(y y)))) 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. ------ 96818/8839959. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 96819/8840412. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 96820/8840850. ------ 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. ------ 96821/8841030. ------ 1. ==[ start ]==> ((^a.(a b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((b (^y.(^z.(^x1.x1)))) b) 4. ==[ alpha ]==> ((b (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 96822/8841042. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(a (^a.(^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. ------ 96823/8841348. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 96824/8841663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(a (^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)))) REDUCED to normal form. ------ 96825/8842221. ------ 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))) REDUCED to normal form. ------ 96826/8842299. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((((^z.(a a))(^x1.a))((^z.(a a))(^x1.a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(a a))(^y.a))((^z.(a a))(^x1.a)))(^y1.y1)) 5. ==[ beta ]==> (((a a)((^z.(a a))(^x1.a)))(^y1.y1)) 6. ==[ alpha ]==> (((a a)((^x.(a a))(^y.a)))(^z.z)) 7. ==[ beta ]==> (((a a)(a a))(^z.z)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 96827/8843004. ------ 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. ------ 96828/8843055. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(a a))(^a.(^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. ------ 96829/8843706. ------ 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. ------ 96830/8843892. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^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. ------ 96831/8844318. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.b))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.b))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 96832/8844495. ------ 1. ==[ start ]==> ((^a.(^b.b))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(b ((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96833/8844516. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.z))) REDUCED to normal form. ------ 96834/8844705. ------ 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. ------ 96835/8844810. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.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. ------ 96836/8845317. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 96837/8845596. ------ 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.(^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. ------ 96838/8845704. ------ 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. ------ 96839/8845809. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((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)))((^y.y)(^z.(z z))))) 4. ==[ alpha ]==> ((((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1))))(((^y1.y1)(^z1.(z1 z1)))((^x2.x2)(^y2.(y2 y2))))) 5. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.(x1 x1))))(((^y1.y1)(^z1.(z1 z1)))((^x2.x2)(^y2.(y2 y2))))) 6. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.(z z))))(((^x1.x1)(^y1.(y1 y1)))((^z1.z1)(^x2.(x2 x2))))) 7. ==[ beta ]==> ((((^y.y)(^z.(z z)))((^y.y)(^z.(z z))))(((^x1.x1)(^y1.(y1 y1)))((^z1.z1)(^x2.(x2 x2))))) 8. ==[ alpha ]==> ((((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1))))(((^y1.y1)(^z1.(z1 z1)))((^x2.x2)(^y2.(y2 y2))))) IRREDUCIBLE: cycle. ------ 96840/8845812. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 96841/8846091. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(^x1.a))(^z1.z1)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96842/8846154. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.c)) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.c)) REDUCED to normal form. ------ 96843/8846208. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 96844/8846316. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 96845/8846343. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 96846/8846397. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 96847/8846445. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(^a.a))(^b.(^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)))) REDUCED to normal form. ------ 96848/8846481. ------ 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 a)) REDUCED to normal form. ------ 96849/8846499. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.b))) REDUCED to normal form. ------ 96850/8846526. ------ 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. ------ 96851/8846562. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 96852/8846607. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 96853/8846634. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 96854/8846715. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 96855/8846724. ------ 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 (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 96856/8846751. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 96857/8846967. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 96858/8846994. ------ 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. ------ 96859/8847030. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((^y.(y y))(a ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(a ((a a)(a a)))) 5. ==[ beta ]==> ((a ((a a)(a a)))(a ((a a)(a a)))) REDUCED to normal form. ------ 96860/8847057. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^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. ------ 96861/8847093. ------ 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. ------ 96862/8847111. ------ 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)(^y.y))((b a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((b a)((^z.z) 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. ------ 96863/8847138. ------ 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. ------ 96864/8847165. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 96865/8847219. ------ 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. ------ 96866/8847246. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 96867/8847345. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (^b.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(b (^x.x))) REDUCED to normal form. ------ 96868/8847471. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 96869/8847498. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.(^y1.y1)))) 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. ------ 96870/8847525. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 96871/8847552. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a)(^z.b))) REDUCED to normal form. ------ 96872/8847579. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.a))(^z.(a a))) 8. ==[ alpha ]==> ((a (^x.a))(^y.(a a))) REDUCED to normal form. ------ 96873/8847669. ------ 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)(^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. ------ 96874/8847696. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)((^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. ------ 96875/8847723. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 96876/8847750. ------ 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. ------ 96877/8848002. ------ 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.(^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. ------ 96878/8848038. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 96879/8848056. ------ 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.x1)))(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(a a))) 7. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a a))) 8. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 96880/8848065. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 96881/8848137. ------ 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. ------ 96882/8848317. ------ 1. ==[ start ]==> ((a (a b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 96883/8848326. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.b)((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.b)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 96884/8848470. ------ 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. ------ 96885/8848497. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a b) a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 96886/8848524. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.b)) REDUCED to normal form. ------ 96887/8848578. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 96888/8848632. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 96889/8848659. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 96890/8848686. ------ 1. ==[ start ]==> (((a b)(^a.a))((b a) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((b a) b)) REDUCED to normal form. ------ 96891/8848722. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a))(^b.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. ------ 96892/8848749. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 96893/8848776. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 96894/8848830. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.b))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.b))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 96895/8848857. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 96896/8848884. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 96897/8848920. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (b a))) 3. ==[ beta ]==> ((^y.(a a))(b (b a))) 4. ==[ alpha ]==> ((^x.(a a))(b (b a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 96898/8848947. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 96899/8849001. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 96900/8849082. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 96901/8849136. ------ 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. ------ 96902/8849163. ------ 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.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. ------ 96903/8849217. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a a)(b a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)(b a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(b a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(b a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(b a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(b a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(b a))) 9. ==[ beta ]==> ((^y.y)((a a)(b a))) 10. ==[ alpha ]==> ((^x.x)((a a)(b a))) 11. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 96904/8849253. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((b a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(^z.z))) 5. ==[ beta ]==> ((^y.(y y))((b a)(^z.z))) 6. ==[ alpha ]==> ((^x.(x x))((b a)(^y.y))) 7. ==[ beta ]==> (((b a)(^y.y))((b a)(^y.y))) 8. ==[ alpha ]==> (((b a)(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 96905/8849280. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 96906/8849307. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 96907/8849334. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 96908/8849397. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^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. ------ 96909/8849424. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))(a b))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(a b))) 5. ==[ beta ]==> ((a ((a a) a))((a b)(a b))) REDUCED to normal form. ------ 96910/8849451. ------ 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. ------ 96911/8849478. ------ 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. ------ 96912/8849505. ------ 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. ------ 96913/8849523. ------ 1. ==[ start ]==> (((^a.b) c)((b a) a)) 2. ==[ alpha ]==> (((^x.b) c)((b a) a)) 3. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 96914/8849586. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 96915/8849757. ------ 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. ------ 96916/8849838. ------ 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. ------ 96917/8849865. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1) 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. ------ 96918/8849919. ------ 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))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((^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))) 9. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 10. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 96919/8850000. ------ 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 ((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. ------ 96920/8850063. ------ 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.z))(^x1.x1))) REDUCED to normal form. ------ 96921/8850099. ------ 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 a)) REDUCED to normal form. ------ 96922/8850126. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 96923/8850153. ------ 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. ------ 96924/8850180. ------ 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. ------ 96925/8850207. ------ 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 y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((a a) a))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))((a a) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 9. ==[ beta ]==> ((^y.(y y))((a a) a)) 10. ==[ alpha ]==> ((^x.(x x))((a a) a)) 11. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 96926/8850234. ------ 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. ------ 96927/8850261. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 96928/8850288. ------ 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. ------ 96929/8850342. ------ 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 a)) REDUCED to normal form. ------ 96930/8850513. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(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. ------ 96931/8850576. ------ 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)(^x.x)) b)(a a)) REDUCED to normal form. ------ 96932/8850621. ------ 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. ------ 96933/8850648. ------ 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. ------ 96934/8850702. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)((a a) a))) 5. ==[ beta ]==> (((a b)(a b))(a ((a a) a))) REDUCED to normal form. ------ 96935/8850792. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 96936/8850819. ------ 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. ------ 96937/8850846. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^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. ------ 96938/8850909. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(b a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(b a))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(b a))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a)(b a))(^y.y)) 10. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 96939/8850936. ------ 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)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 96940/8850963. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^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. ------ 96941/8850990. ------ 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. ------ 96942/8851017. ------ 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 a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(^z.z))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.y))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 96943/8851044. ------ 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.(^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. ------ 96944/8851071. ------ 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. ------ 96945/8851098. ------ 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))(^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)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 96946/8851125. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 96947/8851179. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^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. ------ 96948/8851188. ------ 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. ------ 96949/8851269. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> ((a a)(((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 96950/8851350. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)((^y1.y1)(^z1.z1)))) 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. ------ 96951/8851467. ------ 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. ------ 96952/8851494. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.a)) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 96953/8851575. ------ 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. ------ 96954/8851602. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.b))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.b))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 96955/8851656. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 96956/8851782. ------ 1. ==[ start ]==> ((a (^b.b))(b ((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(b ((a a) a))) REDUCED to normal form. ------ 96957/8851800. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.b)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.b)) REDUCED to normal form. ------ 96958/8851962. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> (((a b)(^y.y))(b (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 96959/8851989. ------ 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. ------ 96960/8852061. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (a a))(^b.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. ------ 96961/8852070. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 96962/8852097. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.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. ------ 96963/8852268. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 96964/8852376. ------ 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. ------ 96965/8852385. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(c c)) REDUCED to normal form. ------ 96966/8852430. ------ 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)))) REDUCED to normal form. ------ 96967/8852457. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 96968/8852547. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a) a)(^b.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. ------ 96969/8852574. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 96970/8852601. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 96971/8852628. ------ 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)(^y1.y1)) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^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. ------ 96972/8852655. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (a a)) b)) REDUCED to normal form. ------ 96973/8852826. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c (^b.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. ------ 96974/8852853. ------ 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. ------ 96975/8852880. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(a (^x1.(^y1.y1)))) 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. ------ 96976/8852907. ------ 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. ------ 96977/8852934. ------ 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) REDUCED to normal form. ------ 96978/8852961. ------ 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.(^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. ------ 96979/8852988. ------ 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. ------ 96980/8853042. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 96981/8853069. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 96982/8853096. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(^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. ------ 96983/8853132. ------ 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. ------ 96984/8853267. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 96985/8853375. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(a ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 96986/8853411. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((b b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((b b)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 96987/8853483. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 96988/8853492. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 96989/8853519. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (^y1.y1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y1.y1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1)) a)) REDUCED to normal form. ------ 96990/8853537. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b (a a))) 3. ==[ beta ]==> (((b a)(b a))(b (a a))) REDUCED to normal form. ------ 96991/8853600. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) b) REDUCED to normal form. ------ 96992/8853618. ------ 1. ==[ start ]==> (((^a.b)(a b))(b a)) 2. ==[ alpha ]==> (((^x.b)(a b))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 96993/8853627. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 96994/8853681. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 96995/8853707. ------ 1. ==[ start ]==> (^a.((b a)(^a.(a a)))) 2. ==[ alpha ]==> (^x.((b x)(^y.(y y)))) REDUCED to normal form. ------ 96996/8853708. ------ 1. ==[ start ]==> (a ((b a)(^a.(a a)))) 2. ==[ alpha ]==> (a ((b a)(^x.(x x)))) REDUCED to normal form. ------ 96997/8853963. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.((a a)(a a)))) 4. ==[ alpha ]==> (^x.(^y.((a a)(a a)))) REDUCED to normal form. ------ 96998/8861001. ------ 1. ==[ start ]==> ((^a.a)((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((b a)(^y.(y y)))) 3. ==[ beta ]==> ((b a)(^y.(y y))) 4. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 96999/8861028. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.(^x1.x1)))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 97000/8861055. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 97001/8861091. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 97002/8861253. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^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 ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 97003/8861256. ------ 1. ==[ start ]==> ((a (^b.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((a a)(a a)))) REDUCED to normal form. ------ 97004/8861496. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 97005/8861607. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(a a)))) 5. ==[ beta ]==> ((^y.(^z.(a a)))(^y.(^z.(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. ------ 97006/8861958. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97007/8862615. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.z) b))) 5. ==[ beta ]==> ((a (^x.(x x)))(^y.b)) REDUCED to normal form. ------ 97008/8863524. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^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. ------ 97009/8863803. ------ 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. ------ 97010/8864343. ------ 1. ==[ start ]==> (((a b) c)(^d.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 97011/8864370. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(b y))) 3. ==[ eta ]==> ((((^x.x)(a a)) b) b) 4. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 97012/8864916. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(a a)) b)) 3. ==[ eta ]==> (b (((^y.y)(a a)) b)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 97013/8865342. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 97014/8865360. ------ 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. ------ 97015/8865465. ------ 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. ------ 97016/8865567. ------ 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. ------ 97017/8866356. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^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. ------ 97018/8866671. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 97019/8867178. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.e)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.e)) REDUCED to normal form. ------ 97020/8867952. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 97021/8868033. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.(^b.a))) 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. ------ 97022/8868177. ------ 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. ------ 97023/8868195. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 97024/8868258. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 97025/8868297. ------ 1. ==[ start ]==> ((a a)((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 97026/8868324. ------ 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. ------ 97027/8868351. ------ 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. ------ 97028/8868360. ------ 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 a)) REDUCED to normal form. ------ 97029/8868387. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 97030/8868405. ------ 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. ------ 97031/8868441. ------ 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 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. ------ 97032/8868468. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 97033/8868495. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 97034/8868522. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 97035/8868549. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.a))((a a)(a a))) REDUCED to normal form. ------ 97036/8868567. ------ 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. ------ 97037/8868594. ------ 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 (^x.x))(a a))(b b)) REDUCED to normal form. ------ 97038/8868630. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 97039/8868711. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.a))) 5. ==[ beta ]==> (a ((^y.(a a))(^z.a))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 97040/8868738. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 97041/8868792. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 97042/8868882. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b ((^y.y) b))) 3. ==[ beta ]==> ((a a)(b ((^y.y) b))) 4. ==[ alpha ]==> ((a a)(b ((^x.x) b))) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 97043/8868963. ------ 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. ------ 97044/8868990. ------ 1. ==[ start ]==> (((a (a a)) a)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((b a)((^x.x) a))) 3. ==[ beta ]==> (((a (a a)) a)((b a) a)) REDUCED to normal form. ------ 97045/8869017. ------ 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. ------ 97046/8869044. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.z))) REDUCED to normal form. ------ 97047/8869071. ------ 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. ------ 97048/8869098. ------ 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. ------ 97049/8869206. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((b b)((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 97050/8869251. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (^c.(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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97051/8869278. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 97052/8869386. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1)(^y1.y1)))) 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. ------ 97053/8869413. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 97054/8869467. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(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. ------ 97055/8869539. ------ 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))))) 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. ------ 97056/8869566. ------ 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. ------ 97057/8869593. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b) a)) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b) a)) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 97058/8869620. ------ 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. ------ 97059/8869647. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((b a) c)) 3. ==[ beta ]==> (((^y.y)(a a))((b a) c)) 4. ==[ alpha ]==> (((^x.x)(a a))((b a) c)) 5. ==[ beta ]==> ((a a)((b a) c)) REDUCED to normal form. ------ 97060/8869710. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a))(^b.(^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. ------ 97061/8869764. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.b))) 5. ==[ beta ]==> (a ((^z.a)(^x1.b))) 6. ==[ alpha ]==> (a ((^x.a)(^y.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 97062/8869872. ------ 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))(^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. ------ 97063/8869881. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 97064/8869908. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a ((^z.z) b))) 3. ==[ beta ]==> ((a (^y.(y y)))(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. ------ 97065/8869935. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 97066/8869962. ------ 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 (^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. ------ 97067/8869989. ------ 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. ------ 97068/8870178. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 97069/8870196. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.b)(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.b)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 97070/8870358. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 97071/8870385. ------ 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) REDUCED to normal form. ------ 97072/8870412. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^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. ------ 97073/8870466. ------ 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)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 97074/8870547. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 97075/8870592. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x)) c)) REDUCED to normal form. ------ 97076/8870817. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 97077/8870961. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) b)(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a b) b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 97078/8870988. ------ 1. ==[ start ]==> ((((^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))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^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. ------ 97079/8871015. ------ 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. ------ 97080/8871042. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(a (a a))) REDUCED to normal form. ------ 97081/8871096. ------ 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. ------ 97082/8871168. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^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. ------ 97083/8871240. ------ 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.(^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. ------ 97084/8871267. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a b))(^z.a)) 6. ==[ alpha ]==> (((a (^x.x))(a b))(^y.a)) REDUCED to normal form. ------ 97085/8871294. ------ 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. ------ 97086/8871321. ------ 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. ------ 97087/8871402. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((b a) a)) REDUCED to normal form. ------ 97088/8871429. ------ 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)) REDUCED to normal form. ------ 97089/8871492. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(y1 y1)))) 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. ------ 97090/8871627. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 97091/8871636. ------ 1. ==[ start ]==> (((a b) c)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 97092/8871663. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a (b a))) 3. ==[ beta ]==> (((a a) b)(a (b a))) REDUCED to normal form. ------ 97093/8871690. ------ 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))) REDUCED to normal form. ------ 97094/8871744. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a b) a)) REDUCED to normal form. ------ 97095/8871771. ------ 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. ------ 97096/8871825. ------ 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. ------ 97097/8871852. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (a b))) REDUCED to normal form. ------ 97098/8871870. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (^z.(a a)))) 3. ==[ beta ]==> (b (c (^z.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 97099/8871879. ------ 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 (^y.y))(a a))) REDUCED to normal form. ------ 97100/8871906. ------ 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. ------ 97101/8871969. ------ 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. ------ 97102/8871996. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a 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. ------ 97103/8872023. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a 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. ------ 97104/8872050. ------ 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. ------ 97105/8872104. ------ 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. ------ 97106/8872131. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 97107/8872185. ------ 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. ------ 97108/8872212. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(a a)) b)) 3. ==[ beta ]==> ((a (b a))((a a) b)) REDUCED to normal form. ------ 97109/8872302. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 97110/8872383. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 97111/8872446. ------ 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)(^x.x)) b)((a a)(a a))) REDUCED to normal form. ------ 97112/8872554. ------ 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. ------ 97113/8872581. ------ 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. ------ 97114/8872635. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 97115/8872653. ------ 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. ------ 97116/8872761. ------ 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. ------ 97117/8872779. ------ 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. ------ 97118/8872833. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.b))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 97119/8872860. ------ 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. ------ 97120/8872887. ------ 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)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 97121/8872914. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a b) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a b) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a b) b)) REDUCED to normal form. ------ 97122/8872941. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a) a) c)) REDUCED to normal form. ------ 97123/8873058. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^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. ------ 97124/8873328. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^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. ------ 97125/8873382. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 97126/8873436. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 97127/8873517. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 97128/8873625. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 97129/8873652. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^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. ------ 97130/8873697. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.b) a)) 3. ==[ beta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 97131/8873751. ------ 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. ------ 97132/8873886. ------ 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. ------ 97133/8873940. ------ 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. ------ 97134/8873967. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(a (^y.(y y)))) 6. ==[ alpha ]==> ((a b)(a (^x.(x x)))) REDUCED to normal form. ------ 97135/8873976. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.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. ------ 97136/8874003. ------ 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)(^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. ------ 97137/8874138. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.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. ------ 97138/8874255. ------ 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. ------ 97139/8874282. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((b a)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((b a)(((^x.x) 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. ------ 97140/8874300. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c (^z.(z z)))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.(y y)))) 5. ==[ beta ]==> (b (c (^y.(y y)))) 6. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 97141/8874309. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 97142/8874327. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (^b.(^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. ------ 97143/8874336. ------ 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)))) 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. ------ 97144/8874381. ------ 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)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 97145/8874444. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c d)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c d)) REDUCED to normal form. ------ 97146/8874462. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^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. ------ 97147/8874570. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.a)(^b.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. ------ 97148/8874606. ------ 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. ------ 97149/8874642. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(^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. ------ 97150/8874669. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(b b)) REDUCED to normal form. ------ 97151/8874696. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.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. ------ 97152/8874777. ------ 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. ------ 97153/8874804. ------ 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. ------ 97154/8874831. ------ 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 (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 97155/8874858. ------ 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. ------ 97156/8874912. ------ 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. ------ 97157/8874939. ------ 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. ------ 97158/8875137. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 97159/8875245. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97160/8875281. ------ 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))) REDUCED to normal form. ------ 97161/8875308. ------ 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. ------ 97162/8875326. ------ 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. ------ 97163/8875353. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(^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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97164/8875362. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b b)) REDUCED to normal form. ------ 97165/8875407. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 97166/8875470. ------ 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. ------ 97167/8875488. ------ 1. ==[ start ]==> (((^a.b)(a b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 97168/8875497. ------ 1. ==[ start ]==> (((a b)(^a.b))(b a)) 2. ==[ alpha ]==> (((a b)(^x.b))(b a)) REDUCED to normal form. ------ 97169/8875551. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 97170/8875842. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(a a)))) REDUCED to normal form. ------ 97171/8882898. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97172/8882979. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 97173/8883141. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(^z.(a a)))) 3. ==[ beta ]==> (^y.((a a)(^z.(a a)))) 4. ==[ alpha ]==> (^x.((a a)(^y.(a a)))) REDUCED to normal form. ------ 97174/8883144. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 97175/8883483. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b ((^y.y) b))) 3. ==[ beta ]==> ((b ((^y.y) b))((b ((^y.y) b))(b ((^y.y) b)))) 4. ==[ alpha ]==> ((b ((^x.x) b))((b ((^y.y) b))(b ((^z.z) b)))) 5. ==[ beta ]==> ((b b)((b ((^y.y) b))(b ((^z.z) b)))) 6. ==[ alpha ]==> ((b b)((b ((^x.x) b))(b ((^y.y) b)))) 7. ==[ beta ]==> ((b b)((b b)(b ((^y.y) b)))) 8. ==[ alpha ]==> ((b b)((b b)(b ((^x.x) b)))) 9. ==[ beta ]==> ((b b)((b b)(b b))) REDUCED to normal form. ------ 97176/8883834. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)((^x1.x1) 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. ------ 97177/8884503. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 97178/8884599. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 97179/8884779. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(b a))) 3. ==[ beta ]==> (((a (^y.y))(b a)) b) 4. ==[ alpha ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 97180/8885124. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 97181/8885166. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((b a) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((b a) b)) 3. ==[ beta ]==> (^y.(((b a) b)((b a) b))) 4. ==[ alpha ]==> (^x.(((b a) b)((b a) b))) REDUCED to normal form. ------ 97182/8885718. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.(^z.(^x1.(^y1.y1))))(^y.(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2))))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 97183/8885988. ------ 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))) REDUCED to normal form. ------ 97184/8887257. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 97185/8887353. ------ 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))(^x2.(x2 x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 97186/8888292. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(y b))) REDUCED to normal form. ------ 97187/8889093. ------ 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)(^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)))(^z.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 97188/8889237. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.((^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)(^x.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 97189/8889558. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b ((^y.y) a))) 3. ==[ beta ]==> (((b ((^y.y) a))(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))(b ((^x1.x1) a)))) 5. ==[ beta ]==> (((b a)(b ((^y.y) a)))((b ((^z.z) a))(b ((^x1.x1) a)))) 6. ==[ alpha ]==> (((b a)(b ((^x.x) a)))((b ((^y.y) a))(b ((^z.z) a)))) 7. ==[ beta ]==> (((b a)(b a))((b ((^y.y) a))(b ((^z.z) a)))) 8. ==[ alpha ]==> (((b a)(b a))((b ((^x.x) a))(b ((^y.y) a)))) 9. ==[ beta ]==> (((b a)(b a))((b a)(b ((^y.y) a)))) 10. ==[ alpha ]==> (((b a)(b a))((b a)(b ((^x.x) a)))) 11. ==[ beta ]==> (((b a)(b a))((b a)(b a))) REDUCED to normal form. ------ 97190/8889840. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.y1)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97191/8889921. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.c)) 3. ==[ beta ]==> (((a a)(a a))(^y.c)) 4. ==[ alpha ]==> (((a a)(a a))(^x.c)) REDUCED to normal form. ------ 97192/8889984. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 97193/8890083. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.b)) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 97194/8890092. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 97195/8890146. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 97196/8890203. ------ 1. ==[ start ]==> ((a (^a.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((b a)(^y.(y y)))) REDUCED to normal form. ------ 97197/8890230. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a)(^a.a))(^b.(^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))) REDUCED to normal form. ------ 97198/8890266. ------ 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 a)) REDUCED to normal form. ------ 97199/8890284. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.b))) REDUCED to normal form. ------ 97200/8890293. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 97201/8890347. ------ 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. ------ 97202/8890374. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)((b a)(b a))) REDUCED to normal form. ------ 97203/8890392. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^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. ------ 97204/8890401. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.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) REDUCED to normal form. ------ 97205/8890419. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 97206/8890428. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 97207/8890446. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 97208/8890482. ------ 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)((^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. ------ 97209/8890527. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1))) c)) 3. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1))) c)) 4. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z))) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 97210/8890617. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 97211/8890644. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 97212/8890779. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 97213/8890788. ------ 1. ==[ start ]==> ((a (a (a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a (a (a a)))(b ((^x.x) b))) 3. ==[ beta ]==> ((a (a (a a)))(b b)) REDUCED to normal form. ------ 97214/8890824. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 97215/8891031. ------ 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)))((^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. ------ 97216/8891058. ------ 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. ------ 97217/8891085. ------ 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. ------ 97218/8891103. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((b b)(c (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b b)(c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 97219/8891112. ------ 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))))) REDUCED to normal form. ------ 97220/8891139. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> ((a (^y.y))((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. ------ 97221/8891175. ------ 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. ------ 97222/8891229. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 97223/8891283. ------ 1. ==[ start ]==> (((^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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(^y1.y1)))) 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. ------ 97224/8891292. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 97225/8891310. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 97226/8891319. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 97227/8891346. ------ 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) REDUCED to normal form. ------ 97228/8891364. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(a a))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(a a))) REDUCED to normal form. ------ 97229/8891373. ------ 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)(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. ------ 97230/8891400. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((a a)(^x1.x1)))) 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. ------ 97231/8891697. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^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. ------ 97232/8891778. ------ 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))(^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. ------ 97233/8891805. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(^b.b))) 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))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 97234/8891823. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z) a)) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 97235/8891904. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) d)) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 97236/8891922. ------ 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. ------ 97237/8891949. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a b)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.z))) REDUCED to normal form. ------ 97238/8891976. ------ 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. ------ 97239/8892003. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y)(a b))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x)(a b))) 7. ==[ beta ]==> (((a (a a)) a)(a b)) REDUCED to normal form. ------ 97240/8892030. ------ 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. ------ 97241/8892057. ------ 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)))) 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. ------ 97242/8892075. ------ 1. ==[ start ]==> (((^a.b) a)(c (^d.a))) 2. ==[ alpha ]==> (((^x.b) a)(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 97243/8892084. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(b a))) REDUCED to normal form. ------ 97244/8892174. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(^z.(^x1.x1)))) IRREDUCIBLE: cycle. ------ 97245/8892237. ------ 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. ------ 97246/8892255. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 97247/8892264. ------ 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. ------ 97248/8892282. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a 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. ------ 97249/8892291. ------ 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) REDUCED to normal form. ------ 97250/8892309. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.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. ------ 97251/8892345. ------ 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 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(a a)))) 9. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 97252/8892372. ------ 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. ------ 97253/8892399. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(b a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 97254/8892426. ------ 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 (^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. ------ 97255/8892444. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 97256/8892453. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 97257/8892471. ------ 1. ==[ start ]==> ((a (^b.(a a)))((b a) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((b a) b)) REDUCED to normal form. ------ 97258/8892642. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) 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)))) 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. ------ 97259/8893020. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 97260/8893065. ------ 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.(^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. ------ 97261/8893074. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 97262/8893101. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 97263/8893290. ------ 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. ------ 97264/8893533. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 97265/8893632. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a 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. ------ 97266/8893776. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.(a a)))) REDUCED to normal form. ------ 97267/8893803. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b (^c.(^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. ------ 97268/8894388. ------ 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. ------ 97269/8894532. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 97270/8894559. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 97271/8894586. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(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 a)) REDUCED to normal form. ------ 97272/8894613. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 97273/8894658. ------ 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))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 97274/8894937. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 97275/8895036. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.b) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.b) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.b) b)) 5. ==[ beta ]==> ((a a)((^z.b) b)) 6. ==[ alpha ]==> ((a a)((^x.b) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 97276/8895225. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((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. ------ 97277/8895234. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 97278/8895252. ------ 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)(^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. ------ 97279/8895279. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(^a.a))(^b.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. ------ 97280/8895333. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 10. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 97281/8895342. ------ 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. ------ 97282/8895369. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^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. ------ 97283/8895414. ------ 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. ------ 97284/8895423. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 97285/8895477. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(^a.a))(^b.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. ------ 97286/8895531. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 97287/8895567. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b ((a a) a))) REDUCED to normal form. ------ 97288/8895594. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (a b))) REDUCED to normal form. ------ 97289/8895621. ------ 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))) REDUCED to normal form. ------ 97290/8895648. ------ 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. ------ 97291/8895675. ------ 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) a))) 3. ==[ beta ]==> (((^y.y)(a b))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (a a))((^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. ------ 97292/8895702. ------ 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. ------ 97293/8895729. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 97294/8895756. ------ 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. ------ 97295/8895828. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 97296/8895873. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 97297/8895900. ------ 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.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))(^x2.(^y2.y2)))) 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. ------ 97298/8896035. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a) d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a) d)) 3. ==[ beta ]==> (b (((^z.z) a) d)) 4. ==[ alpha ]==> (b (((^x.x) a) d)) 5. ==[ beta ]==> (b (a d)) REDUCED to normal form. ------ 97299/8896143. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(^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. ------ 97300/8896206. ------ 1. ==[ start ]==> (((a a)(^b.b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(c (^y.(y y)))) REDUCED to normal form. ------ 97301/8896233. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) REDUCED to normal form. ------ 97302/8896278. ------ 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))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.x1))) 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. ------ 97303/8896314. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 97304/8896341. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.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. ------ 97305/8896359. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 97306/8896368. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^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. ------ 97307/8896395. ------ 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)(^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. ------ 97308/8896422. ------ 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))(^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. ------ 97309/8896476. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.a)(^b.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. ------ 97310/8896503. ------ 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. ------ 97311/8896539. ------ 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) 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. ------ 97312/8896566. ------ 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))(a a))) REDUCED to normal form. ------ 97313/8896593. ------ 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. ------ 97314/8896620. ------ 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. ------ 97315/8896647. ------ 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. ------ 97316/8896836. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c (a (^y.y)))) 3. ==[ beta ]==> ((b (a a))(c (a (^y.y)))) 4. ==[ alpha ]==> ((b (a a))(c (a (^x.x)))) REDUCED to normal form. ------ 97317/8896863. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(b ((^x.x) a))) 3. ==[ beta ]==> ((a ((a a)(a a)))(b a)) REDUCED to normal form. ------ 97318/8896899. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) 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. ------ 97319/8897034. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((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. ------ 97320/8897142. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((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. ------ 97321/8897178. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(c (^y.y))) 3. ==[ beta ]==> ((b b)(c (^y.y))) 4. ==[ alpha ]==> ((b b)(c (^x.x))) REDUCED to normal form. ------ 97322/8897205. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 97323/8897250. ------ 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)((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. ------ 97324/8897259. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^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)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 97325/8897286. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 97326/8897304. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y)) a)) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y)) a)) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x)) a)) REDUCED to normal form. ------ 97327/8897367. ------ 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. ------ 97328/8897385. ------ 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)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 97329/8897394. ------ 1. ==[ start ]==> (((a b)(^a.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 97330/8897448. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^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))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 97331/8897492. ------ 1. ==[ start ]==> (^a.((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))((^y1.y1) x))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 97332/8897493. ------ 1. ==[ start ]==> (a ((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 97333/8904798. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a)) a) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a)) 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. ------ 97334/8904804. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.(^a.a)))((^a.a) 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. ------ 97335/8904858. ------ 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 REDUCED to normal form. ------ 97336/8905077. ------ 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. ------ 97337/8905128. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 97338/8905398. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))(((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.(^y1.y1))(^z1.z1))((^x2.(^y2.y2))(^z2.z2)))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.z1))((^x2.(^y2.y2))(^z2.z2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2))) 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. ------ 97339/8905437. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^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. ------ 97340/8905623. ------ 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. ------ 97341/8905749. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(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. ------ 97342/8905761. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^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. ------ 97343/8906103. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)((^y.y) 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. ------ 97344/8906436. ------ 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 ]==> ((((^y.y) a)((^y.y) a))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((^x1.x1) b))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.((^x1.x1) b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z) b))) 7. ==[ beta ]==> ((a a)(^y.((^z.z) b))) 8. ==[ alpha ]==> ((a a)(^x.((^y.y) b))) 9. ==[ beta ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 97345/8906514. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 97346/8906694. ------ 1. ==[ start ]==> ((^a.(a b))(c (^d.a))) 2. ==[ alpha ]==> ((^x.(x b))(c (^y.a))) 3. ==[ beta ]==> ((c (^y.a)) b) 4. ==[ alpha ]==> ((c (^x.a)) b) REDUCED to normal form. ------ 97347/8907288. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(^x1.(^y1.y1)))((^z.a)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.a)(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (a ((^x1.a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 97348/8907903. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 97349/8907912. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(y a))) REDUCED to normal form. ------ 97350/8908695. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 97351/8908719. ------ 1. ==[ start ]==> ((^a.(b a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.x1))) 3. ==[ eta ]==> (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. ------ 97352/8909163. ------ 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. ------ 97353/8909397. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 97354/8909556. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^x1.a)(^y1.a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 97355/8910159. ------ 1. ==[ start ]==> ((^a.(^b.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97356/8910207. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.y))) REDUCED to normal form. ------ 97357/8910396. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.b))) REDUCED to normal form. ------ 97358/8910474. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 97359/8911008. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.(^b.(^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. ------ 97360/8911152. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.(^b.(^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. ------ 97361/8911287. ------ 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. ------ 97362/8911473. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^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. ------ 97363/8911512. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 97364/8911917. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.c)) 3. ==[ beta ]==> (((b a)(b a))(^y.c)) 4. ==[ alpha ]==> (((b a)(b a))(^x.c)) REDUCED to normal form. ------ 97365/8911998. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(a a))) 3. ==[ beta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 97366/8912007. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.b)) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 97367/8912061. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 97368/8912106. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.y1)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97369/8912118. ------ 1. ==[ start ]==> ((a a)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 97370/8912136. ------ 1. ==[ start ]==> (((^a.a) a)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((b a)(^y.(y y)))) 3. ==[ beta ]==> (a ((b a)(^y.(y y)))) 4. ==[ alpha ]==> (a ((b a)(^x.(x x)))) REDUCED to normal form. ------ 97371/8912163. ------ 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. ------ 97372/8912172. ------ 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)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 97373/8912217. ------ 1. ==[ start ]==> (((^a.a) b)((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)((a b)(^y.b))) 3. ==[ beta ]==> (b ((a b)(^y.b))) 4. ==[ alpha ]==> (b ((a b)(^x.b))) REDUCED to normal form. ------ 97374/8912226. ------ 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. ------ 97375/8912244. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 97376/8912271. ------ 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. ------ 97377/8912325. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 97378/8912352. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 97379/8912388. ------ 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. ------ 97380/8912406. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 97381/8912442. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 97382/8912631. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 97383/8912685. ------ 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. ------ 97384/8912712. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 97385/8912721. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b ((^z.z) b))) 3. ==[ beta ]==> ((^y.(y y))(b ((^z.z) b))) 4. ==[ alpha ]==> ((^x.(x x))(b ((^y.y) b))) 5. ==[ beta ]==> ((b ((^y.y) b))(b ((^y.y) 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. ------ 97386/8912748. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 97387/8912784. ------ 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. ------ 97388/8912802. ------ 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 ]==> (((^y.y)(^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (^y1.y1)))) 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. ------ 97389/8912829. ------ 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. ------ 97390/8912856. ------ 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. ------ 97391/8912910. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a b)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((a b)((a a) a))) REDUCED to normal form. ------ 97392/8912937. ------ 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. ------ 97393/8913063. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 97394/8913072. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97395/8913162. ------ 1. ==[ start ]==> (((a (a a)) b)((b a)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((b a)(^x.a))) REDUCED to normal form. ------ 97396/8913189. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (a (((a a)(^y.y))(^z.(z z)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 97397/8913216. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 97398/8913243. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)(^z.a))) REDUCED to normal form. ------ 97399/8913270. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((a (^y.a))(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.b))) REDUCED to normal form. ------ 97400/8913297. ------ 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.(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. ------ 97401/8913360. ------ 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)(^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. ------ 97402/8913387. ------ 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 (^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. ------ 97403/8913414. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 97404/8913441. ------ 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. ------ 97405/8913468. ------ 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. ------ 97406/8913747. ------ 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 ]==> ((((^y.y) a)((^y.y) a))(a ((^z.z) b))) 4. ==[ alpha ]==> ((((^x.x) a)((^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 a)(a ((^y.y) b))) 8. ==[ alpha ]==> ((a a)(a ((^x.x) b))) 9. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 97407/8913756. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y) a)) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 97408/8913783. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 97409/8913828. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.b))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 97410/8914008. ------ 1. ==[ start ]==> ((a (a b))(c (^d.a))) 2. ==[ alpha ]==> ((a (a b))(c (^x.a))) REDUCED to normal form. ------ 97411/8914017. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(b a))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(b a))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(b a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 97412/8914161. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(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. ------ 97413/8914188. ------ 1. ==[ start ]==> (((a b) a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 97414/8914215. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)(^y.a))) REDUCED to normal form. ------ 97415/8914269. ------ 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. ------ 97416/8914350. ------ 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.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 97417/8914377. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 97418/8914467. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 97419/8914494. ------ 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. ------ 97420/8914548. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^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. ------ 97421/8914575. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a b)(a a))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 97422/8914602. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 97423/8914611. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.(a a))(c ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.(a a))(c ((a a)(^y.y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 97424/8914638. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 97425/8914692. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(a a))) 5. ==[ beta ]==> ((^y.y)((b a)(a a))) 6. ==[ alpha ]==> ((^x.x)((b a)(a a))) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 97426/8914773. ------ 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. ------ 97427/8914827. ------ 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)((^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. ------ 97428/8914854. ------ 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. ------ 97429/8914908. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a)(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 11. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 12. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 97430/8914971. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((b a)(^y.y))) REDUCED to normal form. ------ 97431/8914998. ------ 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.(^y1.y1)))) REDUCED to normal form. ------ 97432/8915025. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 97433/8915061. ------ 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. ------ 97434/8915088. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 97435/8915115. ------ 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 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. ------ 97436/8915142. ------ 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. ------ 97437/8915169. ------ 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. ------ 97438/8915196. ------ 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 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. ------ 97439/8915214. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(^d.a))) 2. ==[ alpha ]==> (((^x.b) c)((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 97440/8915223. ------ 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. ------ 97441/8915448. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 97442/8915529. ------ 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.z))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 97443/8915556. ------ 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. ------ 97444/8915565. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 97445/8915610. ------ 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. ------ 97446/8915691. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 97447/8915817. ------ 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 a)) REDUCED to normal form. ------ 97448/8915844. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a (a b))((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((a (a b))((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 97449/8915898. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97450/8915925. ------ 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. ------ 97451/8915952. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a b)((^x.x) 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) REDUCED to normal form. ------ 97452/8915979. ------ 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. ------ 97453/8916006. ------ 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)(^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. ------ 97454/8916033. ------ 1. ==[ start ]==> ((a (b a))((^c.(^a.a))(^a.a))) 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. ------ 97455/8916204. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 97456/8916267. ------ 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)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 97457/8916312. ------ 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. ------ 97458/8916339. ------ 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.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. ------ 97459/8916393. ------ 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. ------ 97460/8916474. ------ 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. ------ 97461/8916510. ------ 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 a))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a 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. ------ 97462/8916537. ------ 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.(^y1.y1)))) REDUCED to normal form. ------ 97463/8916600. ------ 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. ------ 97464/8916627. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 10. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 97465/8916654. ------ 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)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)((a a) a))) 5. ==[ beta ]==> ((a (a a))((^y.a)((a a) a))) 6. ==[ alpha ]==> ((a (a a))((^x.a)((a a) a))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 97466/8916681. ------ 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. ------ 97467/8916708. ------ 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)(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^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. ------ 97468/8916735. ------ 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 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))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 97469/8916762. ------ 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. ------ 97470/8916816. ------ 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))(^y1.(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. ------ 97471/8916870. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 97472/8916960. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a b)(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a b)(a a))) 5. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 97473/8917041. ------ 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. ------ 97474/8917158. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a b)(^z.z))) REDUCED to normal form. ------ 97475/8917185. ------ 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)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 97476/8917266. ------ 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. ------ 97477/8917293. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 97478/8917347. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 97479/8917374. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((a a) a) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a) a) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a) b)) REDUCED to normal form. ------ 97480/8917401. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1) c)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z) c)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) c) REDUCED to normal form. ------ 97481/8917473. ------ 1. ==[ start ]==> ((a (^b.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(c (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(c (^y.y))) REDUCED to normal form. ------ 97482/8917518. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.b)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.b)) REDUCED to normal form. ------ 97483/8917653. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 97484/8917680. ------ 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. ------ 97485/8917707. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a (^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.b))) REDUCED to normal form. ------ 97486/8917752. ------ 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))(^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. ------ 97487/8917761. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 97488/8917788. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((a b)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((a b)(((^x.x) 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. ------ 97489/8917959. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d ((^z.z) a))) 3. ==[ beta ]==> (b (d ((^z.z) a))) 4. ==[ alpha ]==> (b (d ((^x.x) a))) 5. ==[ beta ]==> (b (d a)) REDUCED to normal form. ------ 97490/8918067. ------ 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. ------ 97491/8918076. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 97492/8918103. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y)) c)) 3. ==[ beta ]==> ((b a)((^y.(y y)) c)) 4. ==[ alpha ]==> ((b a)((^x.(x x)) c)) 5. ==[ beta ]==> ((b a)(c c)) REDUCED to normal form. ------ 97493/8918121. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^z.z) 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. ------ 97494/8918148. ------ 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 (^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(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. ------ 97495/8918238. ------ 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.(^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. ------ 97496/8918265. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a)(^b.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. ------ 97497/8918283. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c d)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 97498/8918292. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 97499/8918319. ------ 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.(^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. ------ 97500/8918346. ------ 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)(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 97501/8918463. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)(^b.(^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. ------ 97502/8918571. ------ 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 (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(b (^z.(z z)))) 6. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(y y)))) 7. ==[ beta ]==> ((a a)(b (^y.(y y)))) 8. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 97503/8918598. ------ 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. ------ 97504/8918625. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x))(a a))) 3. ==[ beta ]==> (((a b)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 97505/8918652. ------ 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) REDUCED to normal form. ------ 97506/8918679. ------ 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. ------ 97507/8918733. ------ 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))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(^y1.y1))) 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. ------ 97508/8918760. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.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. ------ 97509/8918787. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(^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. ------ 97510/8918823. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 97511/8918958. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 97512/8919066. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(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. ------ 97513/8919102. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a) a)) 3. ==[ beta ]==> ((b b)((^y.a) a)) 4. ==[ alpha ]==> ((b b)((^x.a) a)) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 97514/8919129. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y)) b)) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 97515/8919147. ------ 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. ------ 97516/8919174. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c a)) 3. ==[ beta ]==> ((^y.y)(c a)) 4. ==[ alpha ]==> ((^x.x)(c a)) 5. ==[ beta ]==> (c a) REDUCED to normal form. ------ 97517/8919183. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 97518/8919210. ------ 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)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 97519/8919228. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a c)) 3. ==[ beta ]==> (((b a)(b a))(a c)) REDUCED to normal form. ------ 97520/8919291. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z)) 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. ------ 97521/8919309. ------ 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. ------ 97522/8919318. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a) b)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y) b)) 3. ==[ beta ]==> (((a b)(^x.b)) b) REDUCED to normal form. ------ 97523/8919372. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 97524/8919417. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(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. ------ 97525/8919425. ------ 1. ==[ start ]==> (^a.((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (^x.((x (^y.(^z.z)))(^x1.x))) REDUCED to normal form. ------ 97526/8919426. ------ 1. ==[ start ]==> (a ((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 97527/8926731. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a)) b) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a)) 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. ------ 97528/8926740. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a)) a) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 97529/8926746. ------ 1. ==[ start ]==> ((^a.a)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 97530/8926755. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97531/8926773. ------ 1. ==[ start ]==> ((^a.(a a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((b a)(^y.(y y)))) 3. ==[ beta ]==> (((b a)(^y.(y y)))((b a)(^y.(y y)))) 4. ==[ alpha ]==> (((b a)(^x.(x x)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 97532/8926800. ------ 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 REDUCED to normal form. ------ 97533/8926836. ------ 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. ------ 97534/8926881. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^z.(a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 97535/8926998. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 97536/8927070. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) b) b)) 3. ==[ eta ]==> ((^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. ------ 97537/8927379. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^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. ------ 97538/8928123. ------ 1. ==[ start ]==> ((^a.((a a) a))((b a) c)) 2. ==[ alpha ]==> ((^x.((x x) x))((b a) c)) 3. ==[ beta ]==> ((((b a) c)((b a) c))((b a) c)) REDUCED to normal form. ------ 97539/8928378. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.x1))) 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))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 97540/8928387. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.((^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. ------ 97541/8928999. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 97542/8929023. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (^y.(((^z.(^x1.(^y1.y1)))(^z1.z1))((^z.(^x1.(^y1.y1)))(^z1.z1)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.(^x1.x1)))(^y1.y1))((^z1.(^x2.(^y2.y2)))(^z2.z2)))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))((^z1.(^x2.(^y2.y2)))(^z2.z2)))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.x2)))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 97543/8929854. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 97544/8929905. ------ 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)) REDUCED to normal form. ------ 97545/8930142. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(b y))) 3. ==[ eta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 97546/8930661. ------ 1. ==[ start ]==> ((^a.(b a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(b x))(((a a)(^y.y)) a)) 3. ==[ eta ]==> (b (((a a)(^y.y)) a)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 97547/8930898. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 97548/8931114. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 97549/8931780. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^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. ------ 97550/8931969. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.b)((^y.y)(^z.z))) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 97551/8932101. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.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. ------ 97552/8932416. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (a a))(^b.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. ------ 97553/8933454. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 97554/8933733. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x) 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. ------ 97555/8933805. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.(^b.a))) 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. ------ 97556/8933859. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 97557/8933922. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 97558/8933949. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 97559/8934003. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 97560/8934048. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97561/8934057. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 97562/8934069. ------ 1. ==[ start ]==> ((a a)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 97563/8934078. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 97564/8934096. ------ 1. ==[ start ]==> ((a (a a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((b a)(^x.(x x)))) REDUCED to normal form. ------ 97565/8934123. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 97566/8934159. ------ 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 a)) REDUCED to normal form. ------ 97567/8934177. ------ 1. ==[ start ]==> (((a a)(a a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))((a b)(^x.b))) REDUCED to normal form. ------ 97568/8934204. ------ 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. ------ 97569/8934240. ------ 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 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. ------ 97570/8934267. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(b a))) 5. ==[ beta ]==> ((a (^x.x))((b a)(b a))) REDUCED to normal form. ------ 97571/8934294. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 97572/8934321. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 97573/8934366. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(a a)) a)) REDUCED to normal form. ------ 97574/8934393. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b) b)) 3. ==[ beta ]==> ((a a)(((^y.y) b) b)) 4. ==[ alpha ]==> ((a a)(((^x.x) b) b)) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 97575/8934402. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 97576/8934429. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.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. ------ 97577/8934510. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 97578/8934672. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1))) 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. ------ 97579/8934699. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 97580/8934735. ------ 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. ------ 97581/8934762. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 97582/8934789. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((b a) a)) REDUCED to normal form. ------ 97583/8934816. ------ 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. ------ 97584/8934843. ------ 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)(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. ------ 97585/8934870. ------ 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. ------ 97586/8934978. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)(b a))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(b a))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(b a))) 5. ==[ beta ]==> ((b b)(a (b a))) REDUCED to normal form. ------ 97587/8935023. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (^b.b))) 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. ------ 97588/8935104. ------ 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 (^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. ------ 97589/8935185. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^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. ------ 97590/8935338. ------ 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.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 97591/8935365. ------ 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))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 97592/8935392. ------ 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. ------ 97593/8935419. ------ 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. ------ 97594/8935446. ------ 1. ==[ start ]==> ((a ((a a) a))((b a) c)) REDUCED to normal form. ------ 97595/8935482. ------ 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))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(x2 x2)))) 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. ------ 97596/8935536. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)(^x1.a))) 5. ==[ beta ]==> (a ((^z.b)(^x1.a))) 6. ==[ alpha ]==> (a ((^x.b)(^y.a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 97597/8935653. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (b a))) REDUCED to normal form. ------ 97598/8935680. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 97599/8935698. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)(^b.b))) 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))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 97600/8935707. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a ((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a b)) REDUCED to normal form. ------ 97601/8935734. ------ 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 (^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. ------ 97602/8935761. ------ 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. ------ 97603/8935950. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 97604/8935968. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (^d.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.a))) 3. ==[ beta ]==> ((^y.b)(c (^z.a))) 4. ==[ alpha ]==> ((^x.b)(c (^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 97605/8936049. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(a a))) IRREDUCIBLE: cycle. ------ 97606/8936130. ------ 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. ------ 97607/8936157. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 97608/8936238. ------ 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))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 97609/8936319. ------ 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 ((^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. ------ 97610/8936346. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 97611/8936364. ------ 1. ==[ start ]==> (((a a)(a b))((b a) b)) REDUCED to normal form. ------ 97612/8936562. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 97613/8936733. ------ 1. ==[ start ]==> (((a b) b)((a b)(a (a a)))) REDUCED to normal form. ------ 97614/8936760. ------ 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)(^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. ------ 97615/8936787. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 97616/8936814. ------ 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. ------ 97617/8936868. ------ 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. ------ 97618/8936895. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(b a))) 5. ==[ beta ]==> ((^y.(y y))((a a)(b a))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(b a))) 7. ==[ beta ]==> (((a a)(b a))((a a)(b a))) REDUCED to normal form. ------ 97619/8937012. ------ 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)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 97620/8937039. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 97621/8937093. ------ 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. ------ 97622/8937120. ------ 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. ------ 97623/8937201. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((b a) a)) 3. ==[ beta ]==> (((a a)(a a))((b a) a)) REDUCED to normal form. ------ 97624/8937228. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 97625/8937264. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 97626/8937399. ------ 1. ==[ start ]==> (((^a.b)(^b.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. ------ 97627/8937408. ------ 1. ==[ start ]==> (((a b) c)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)(c ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) c)(c (a a))) REDUCED to normal form. ------ 97628/8937435. ------ 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. ------ 97629/8937462. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (b a))) REDUCED to normal form. ------ 97630/8937516. ------ 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. ------ 97631/8937543. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.b))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.b))((a b)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.b))((a b) a)) REDUCED to normal form. ------ 97632/8937597. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97633/8937624. ------ 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. ------ 97634/8937651. ------ 1. ==[ start ]==> (((a b)(^b.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. ------ 97635/8937678. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 97636/8937705. ------ 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)))) REDUCED to normal form. ------ 97637/8937741. ------ 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.y))(^z.z))) REDUCED to normal form. ------ 97638/8937768. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 97639/8937795. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b)(^b.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. ------ 97640/8937822. ------ 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. ------ 97641/8937849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 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. ------ 97642/8937903. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> (((a b) a)(a (^y.b))) 6. ==[ alpha ]==> (((a b) a)(a (^x.b))) REDUCED to normal form. ------ 97643/8937930. ------ 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. ------ 97644/8937984. ------ 1. ==[ start ]==> ((a (b a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (b a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 97645/8938074. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (b ((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 97646/8938155. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 97647/8938218. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a ((a a)(^y.y)))) REDUCED to normal form. ------ 97648/8938326. ------ 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. ------ 97649/8938353. ------ 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. ------ 97650/8938407. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 97651/8938425. ------ 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. ------ 97652/8938434. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 97653/8938551. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(b a))(^y.(y y))) 6. ==[ alpha ]==> (((a a)(b a))(^x.(x x))) REDUCED to normal form. ------ 97654/8938578. ------ 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. ------ 97655/8938632. ------ 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. ------ 97656/8938659. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(a a)))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 97657/8938686. ------ 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)(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a) a)) REDUCED to normal form. ------ 97658/8938713. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a b) b)) REDUCED to normal form. ------ 97659/8938830. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 97660/8939100. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(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. ------ 97661/8939127. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.b)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 97662/8939154. ------ 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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 97663/8939208. ------ 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.(z z))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a (a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a (a a)))) 9. ==[ beta ]==> (((a a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 97664/8939289. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 97665/8939397. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97666/8939424. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 97667/8939496. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.b) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.b) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b) a)) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 97668/8939550. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 97669/8939712. ------ 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))(^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. ------ 97670/8939739. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a))(^b.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. ------ 97671/8939748. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 97672/8939775. ------ 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 (a a)))) 3. ==[ beta ]==> ((^y.y)((^z1.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. ------ 97673/8939910. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a))(^b.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. ------ 97674/8940027. ------ 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. ------ 97675/8940054. ------ 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. ------ 97676/8940081. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a)((^a.a) 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))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 97677/8940108. ------ 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 (^y1.y1))(a (a a)))) REDUCED to normal form. ------ 97678/8940234. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.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. ------ 97679/8940243. ------ 1. ==[ start ]==> (((a b)(^c.a))(c d)) 2. ==[ alpha ]==> (((a b)(^x.a))(c d)) REDUCED to normal form. ------ 97680/8940342. ------ 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))(^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. ------ 97681/8940378. ------ 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. ------ 97682/8940441. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1)) 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. ------ 97683/8940468. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (b a))((^y.(y y)) b)) 4. ==[ alpha ]==> ((a (b a))((^x.(x x)) b)) 5. ==[ beta ]==> ((a (b a))(b b)) REDUCED to normal form. ------ 97684/8940495. ------ 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. ------ 97685/8940576. ------ 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. ------ 97686/8940603. ------ 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)(^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. ------ 97687/8940630. ------ 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. ------ 97688/8940684. ------ 1. ==[ start ]==> (((a (^a.(^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. ------ 97689/8940711. ------ 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. ------ 97690/8940774. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)(^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. ------ 97691/8940909. ------ 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) REDUCED to normal form. ------ 97692/8941017. ------ 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))(^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. ------ 97693/8941053. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) 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. ------ 97694/8941080. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 97695/8941098. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(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. ------ 97696/8941125. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(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. ------ 97697/8941134. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c a)) REDUCED to normal form. ------ 97698/8941161. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b b)) REDUCED to normal form. ------ 97699/8941179. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((b a)(b a))(a (^y.y))) 6. ==[ alpha ]==> (((b a)(b a))(a (^x.x))) REDUCED to normal form. ------ 97700/8941242. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 97701/8941260. ------ 1. ==[ start ]==> (((^a.b)(a b))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(b (^y.y))) 3. ==[ beta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 97702/8941269. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 97703/8941323. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 97704/8941368. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(a (^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97705/8941377. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a a)) REDUCED to normal form. ------ 97706/8948700. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a)) b) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a)) b) REDUCED to normal form. ------ 97707/8948724. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97708/8948967. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (^x.((a (^y.y))(^z.z))) REDUCED to normal form. ------ 97709/8949006. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 97710/8949660. ------ 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 (^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. ------ 97711/8950356. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 97712/8950605. ------ 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 ]==> ((((^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) REDUCED to normal form. ------ 97713/8950968. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 97714/8950977. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 97715/8950992. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (^y.(((a (^z.(^x1.x1))) a)((a (^z.(^x1.x1))) a))) 4. ==[ alpha ]==> (^x.(((a (^y.(^z.z))) a)((a (^x1.(^y1.y1))) a))) REDUCED to normal form. ------ 97716/8951571. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 97717/8952867. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 97718/8953110. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 97719/8953179. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a) a)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 97720/8953758. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(z z)))) REDUCED to normal form. ------ 97721/8953938. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (b (^x1.(^y1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 97722/8953947. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 97723/8954145. ------ 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))) REDUCED to normal form. ------ 97724/8954946. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 97725/8955090. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 97726/8955198. ------ 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. ------ 97727/8955423. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.d)) 3. ==[ beta ]==> ((^y.y)(^x1.d)) 4. ==[ alpha ]==> ((^x.x)(^y.d)) 5. ==[ beta ]==> (^y.d) 6. ==[ alpha ]==> (^x.d) REDUCED to normal form. ------ 97728/8955702. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.a))) 3. ==[ beta ]==> ((b b)(^y.(^z.a))) 4. ==[ alpha ]==> ((b b)(^x.(^y.a))) REDUCED to normal form. ------ 97729/8955774. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 97730/8955783. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.z))) REDUCED to normal form. ------ 97731/8955828. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 97732/8955891. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 97733/8955972. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 97734/8956017. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97735/8956026. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.y1))) REDUCED to normal form. ------ 97736/8956056. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 97737/8956065. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 97738/8956083. ------ 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. ------ 97739/8956110. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a)(^a.a))(^b.(^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)))) REDUCED to normal form. ------ 97740/8956146. ------ 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 a)) REDUCED to normal form. ------ 97741/8956173. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 97742/8956191. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97743/8956200. ------ 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. ------ 97744/8956227. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 97745/8956254. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((b a)(b a))) REDUCED to normal form. ------ 97746/8956272. ------ 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)(((^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. ------ 97747/8956281. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 97748/8956299. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 97749/8956335. ------ 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)((^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. ------ 97750/8956380. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b) b)) 3. ==[ beta ]==> ((^y.a)(((^z.z) b) b)) 4. ==[ alpha ]==> ((^x.a)(((^y.y) b) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 97751/8956416. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 97752/8956470. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 97753/8956497. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 97754/8956524. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 97755/8956632. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 97756/8956731. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.b) 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. ------ 97757/8956884. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a) a)(a b))) REDUCED to normal form. ------ 97758/8956911. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a a))) 8. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a a))) 9. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 97759/8956938. ------ 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. ------ 97760/8956965. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a (a a))(a a))(a (b a))) REDUCED to normal form. ------ 97761/8956992. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 97762/8957082. ------ 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.(^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. ------ 97763/8957091. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 97764/8957136. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(x1 x1)))) 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. ------ 97765/8957145. ------ 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. ------ 97766/8957163. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(a a))(^b.(^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. ------ 97767/8957172. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 97768/8957199. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)((a a) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)((a a) a))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 97769/8957217. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a) a)(^z.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.b))) REDUCED to normal form. ------ 97770/8957253. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(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. ------ 97771/8957550. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.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. ------ 97772/8957577. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 97773/8957658. ------ 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))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 97774/8957685. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(^b.b))) 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. ------ 97775/8957775. ------ 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) a))) 3. ==[ beta ]==> (((a a)((a a) a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 97776/8957802. ------ 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. ------ 97777/8957829. ------ 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. ------ 97778/8957856. ------ 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. ------ 97779/8957883. ------ 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.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a b))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a b))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(a b))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a b))) 9. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 97780/8957910. ------ 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. ------ 97781/8957937. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) 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. ------ 97782/8958027. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1)))(^y1.y1))) IRREDUCIBLE: cycle. ------ 97783/8958090. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 97784/8958108. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 97785/8958117. ------ 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. ------ 97786/8958135. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((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. ------ 97787/8958144. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 97788/8958198. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 97789/8958216. ------ 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. ------ 97790/8958225. ------ 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. ------ 97791/8958252. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)((a a)(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 97792/8958279. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 97793/8958297. ------ 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 a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 97794/8958306. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 97795/8958324. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 97796/8958495. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 97797/8958621. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) a)) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2))) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 8. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 97798/8958846. ------ 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. ------ 97799/8958900. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 97800/8958918. ------ 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 ((b a)(^z.z))) 4. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 97801/8959143. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 97802/8959242. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(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. ------ 97803/8959386. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 97804/8959413. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) 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. ------ 97805/8959683. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 97806/8960196. ------ 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)(^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 97807/8960241. ------ 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. ------ 97808/8960268. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 97809/8960385. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (^z.b))) REDUCED to normal form. ------ 97810/8960412. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (^y.(a a)))) REDUCED to normal form. ------ 97811/8960439. ------ 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. ------ 97812/8960466. ------ 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 a))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 97813/8960511. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(^x1.a))) REDUCED to normal form. ------ 97814/8960790. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 97815/8960889. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(a a)) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(a a)) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(a a)) a)) 5. ==[ beta ]==> ((a a)((^z.(a a)) a)) 6. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 97816/8961087. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(a a)))) REDUCED to normal form. ------ 97817/8961105. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a b)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 97818/8961114. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.b)(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 97819/8961132. ------ 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)(^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. ------ 97820/8961186. ------ 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. ------ 97821/8961195. ------ 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. ------ 97822/8961222. ------ 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)(^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. ------ 97823/8961267. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> (b ((a a)(^x1.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 97824/8961276. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 97825/8961303. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 97826/8961330. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.a)(^a.(^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. ------ 97827/8961384. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.(y1 y1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 97828/8961447. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b ((a a) a))) REDUCED to normal form. ------ 97829/8961474. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a (a b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a (a b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (a b))) REDUCED to normal form. ------ 97830/8961501. ------ 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. ------ 97831/8961528. ------ 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)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a b)((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> ((a b)((^x.x)(a (^y.y)))) 9. ==[ beta ]==> ((a b)(a (^y.y))) 10. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 97832/8961555. ------ 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. ------ 97833/8961582. ------ 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. ------ 97834/8961609. ------ 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. ------ 97835/8961636. ------ 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)(^x.x)) a)((a a)((a a) a))) REDUCED to normal form. ------ 97836/8961681. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 97837/8961726. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (a a))(^b.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. ------ 97838/8961753. ------ 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)(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) a)(^x2.(x2 x2)))) 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. ------ 97839/8961888. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 97840/8962050. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z)) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z)) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y)) c)) 5. ==[ beta ]==> (b ((^y.(y y)) c)) 6. ==[ alpha ]==> (b ((^x.(x x)) c)) 7. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 97841/8962167. ------ 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. ------ 97842/8962194. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 97843/8962212. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a) a)(^b.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. ------ 97844/8962221. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.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. ------ 97845/8962248. ------ 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.(^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. ------ 97846/8962275. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(^x1.x1))) 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. ------ 97847/8962320. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 97848/8962329. ------ 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))(^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. ------ 97849/8962356. ------ 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. ------ 97850/8962392. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b (a (a a)))) 3. ==[ beta ]==> (((a a) b)(b (a (a a)))) REDUCED to normal form. ------ 97851/8962419. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 97852/8962446. ------ 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. ------ 97853/8962473. ------ 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. ------ 97854/8962500. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a a)((a (^y.y))((^z.z) a))) 8. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y) a))) 9. ==[ beta ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 97855/8962527. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)(a (a a)))) REDUCED to normal form. ------ 97856/8962887. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^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. ------ 97857/8962995. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97858/8963031. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 97859/8963076. ------ 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))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 97860/8963103. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^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. ------ 97861/8963112. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.a))) REDUCED to normal form. ------ 97862/8963139. ------ 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))(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))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 97863/8963157. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 97864/8963220. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 97865/8963238. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a b))((^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. ------ 97866/8963247. ------ 1. ==[ start ]==> (((a b)(^a.b))(b (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(b (^y.y))) REDUCED to normal form. ------ 97867/8963301. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^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))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 97868/8963346. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^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. ------ 97869/8963355. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.x1))) REDUCED to normal form. ------ 97870/8963372. ------ 1. ==[ start ]==> (^a.((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (^x.((^y.y)(x (^z.z)))) 3. ==[ beta ]==> (^x.(x (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 97871/8963373. ------ 1. ==[ start ]==> (a ((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (a (a (^y.y))) 4. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 97872/8967291. ------ 1. ==[ start ]==> ((^a.(b a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.((a a)(^z.z)))) 3. ==[ eta ]==> (b (^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 97873/8970687. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a)) c) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a)) c) REDUCED to normal form. ------ 97874/8970711. ------ 1. ==[ start ]==> ((^a.a)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(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. ------ 97875/8970738. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^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))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))((^y2.y2) 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. ------ 97876/8970846. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)(a b))) 3. ==[ beta ]==> (((^z.b)(a b))(^y.y)) 4. ==[ alpha ]==> (((^x.b)(a b))(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 97877/8971002. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 97878/8971011. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((a a)(a a)))) REDUCED to normal form. ------ 97879/8971305. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.a)(^z.(^x1.(^y1.y1))))(((^y.a)(^z.(^x1.(^y1.y1))))((^y.a)(^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.(^x1.x1))))(((^y1.a)(^z1.(^x2.(^y2.y2))))((^z2.a)(^x3.(^y3.(^z3.z3)))))) 5. ==[ beta ]==> (a (((^y1.a)(^z1.(^x2.(^y2.y2))))((^z2.a)(^x3.(^y3.(^z3.z3)))))) 6. ==[ alpha ]==> (a (((^x.a)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.(^y2.y2)))))) 7. ==[ beta ]==> (a (a ((^y1.a)(^z1.(^x2.(^y2.y2)))))) 8. ==[ alpha ]==> (a (a ((^x.a)(^y.(^z.(^x1.x1)))))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 97880/8971530. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 97881/8972037. ------ 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. ------ 97882/8972088. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.(^a.a)))(^a.(^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)((^y2.(^z2.(^x3.x3)))(^y3.(^z3.z3)))) 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. ------ 97883/8972421. ------ 1. ==[ start ]==> ((^a.(^a.b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((b a)(a (^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 97884/8972973. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 97885/8973195. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))(^x1.(a a)))((^z.(z z))(^x1.(a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.(a a)))((^x1.(x1 x1))(^y1.(a a))))) 5. ==[ beta ]==> (((^y.(y y))(^z.(a a)))((^x1.(x1 x1))(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 7. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 8. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 9. ==[ beta ]==> ((a a)((^z.(z z))(^x1.(a a)))) 10. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(a a)))) 11. ==[ beta ]==> ((a a)((^y.(a a))(^y.(a a)))) 12. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 97886/8973288. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(a (^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)))) REDUCED to normal form. ------ 97887/8973846. ------ 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))) REDUCED to normal form. ------ 97888/8974125. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(b z))) 3. ==[ eta ]==> (((^x.x)((a a)(^y.y))) b) 4. ==[ beta ]==> (((a a)(^y.y)) b) 5. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 97889/8974626. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)((a a)(^z.z)))) 3. ==[ eta ]==> (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. ------ 97890/8974629. ------ 1. ==[ start ]==> ((a (b a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 97891/8975331. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 97892/8975463. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^x1.(x1 x1))(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 7. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 97893/8975556. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((a a)(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(x x)))) 7. ==[ beta ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 97894/8975943. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 97895/8976141. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 97896/8976381. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 97897/8976663. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^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. ------ 97898/8977086. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 97899/8977221. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 97900/8977329. ------ 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)))) REDUCED to normal form. ------ 97901/8977380. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1))))(((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1))))(((^x2.a)(^y2.(^z2.z2)))((^x3.a)(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((a ((^x1.a)(^y1.(^z1.z1))))(((^x2.a)(^y2.(^z2.z2)))((^x3.a)(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(^z.z))))(((^x1.a)(^y1.(^z1.z1)))((^x2.a)(^y2.(^z2.z2))))) 7. ==[ beta ]==> ((a a)(((^x1.a)(^y1.(^z1.z1)))((^x2.a)(^y2.(^z2.z2))))) 8. ==[ alpha ]==> ((a a)(((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((a a)(a ((^x1.a)(^y1.(^z1.z1))))) 10. ==[ alpha ]==> ((a a)(a ((^x.a)(^y.(^z.z))))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 97902/8977698. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.c)) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.y)) 3. ==[ beta ]==> ((b b)(^y.y)) 4. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 97903/8977770. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 97904/8977779. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.c)) REDUCED to normal form. ------ 97905/8977887. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 97906/8977905. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(y (^z.z)))) 3. ==[ beta ]==> (b (^y.(y (^z.z)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 97907/8977968. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 97908/8978013. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(y1 y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97909/8978022. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.a)) REDUCED to normal form. ------ 97910/8978052. ------ 1. ==[ start ]==> ((a a)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 3. ==[ beta ]==> ((a a)(a (^y.y))) 4. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 97911/8978070. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (a ((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 97912/8978079. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 97913/8978097. ------ 1. ==[ start ]==> (((a a) a)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 97914/8978124. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 97915/8978151. ------ 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))) 5. ==[ beta ]==> (b ((a a)(^y.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 97916/8978160. ------ 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. ------ 97917/8978178. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 97918/8978187. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(a b))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 97919/8978205. ------ 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. ------ 97920/8978286. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 97921/8978322. ------ 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. ------ 97922/8978340. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 97923/8978349. ------ 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 (^x.x))(a a))((a a)(a a))) REDUCED to normal form. ------ 97924/8978421. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.(^z.z))) c)) REDUCED to normal form. ------ 97925/8978592. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 97926/8978646. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 97927/8978682. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(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. ------ 97928/8978718. ------ 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. ------ 97929/8978736. ------ 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 ]==> (((^y.y)(^y.y))(((^z.z) b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(a a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) 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. ------ 97930/8978745. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.b) b)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x) b)) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 97931/8978763. ------ 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. ------ 97932/8978790. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 97933/8978844. ------ 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)(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. ------ 97934/8978871. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)((a a) a))) REDUCED to normal form. ------ 97935/8979006. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 97936/8979033. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((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. ------ 97937/8979096. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 97938/8979123. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b a)(^z.a))) 3. ==[ beta ]==> (((^y.y) a)((b a)(^z.a))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(^y.a))) 5. ==[ beta ]==> (a ((b a)(^y.a))) 6. ==[ alpha ]==> (a ((b a)(^x.a))) REDUCED to normal form. ------ 97939/8979150. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 97940/8979177. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 97941/8979204. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)(^z.a))) 3. ==[ beta ]==> ((a (^y.a))((a b)(^z.a))) 4. ==[ alpha ]==> ((a (^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 97942/8979231. ------ 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. ------ 97943/8979258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(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. ------ 97944/8979294. ------ 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)(^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. ------ 97945/8979321. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 97946/8979348. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 97947/8979375. ------ 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. ------ 97948/8979402. ------ 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. ------ 97949/8979429. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.(^a.a)))(^a.(^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. ------ 97950/8979681. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a ((^y.y) a))(b (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b (a (^y.(^z.z))))) 7. ==[ beta ]==> ((a a)(b (a (^y.(^z.z))))) 8. ==[ alpha ]==> ((a a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 97951/8979717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 97952/8979744. ------ 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. ------ 97953/8979762. ------ 1. ==[ start ]==> ((a (^a.b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((b a)(a (^y.y)))) REDUCED to normal form. ------ 97954/8979951. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 97955/8980095. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 97956/8980122. ------ 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. ------ 97957/8980149. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 97958/8980203. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.b))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.b))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.b)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 97959/8980230. ------ 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. ------ 97960/8980257. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 97961/8980311. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 97962/8980347. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 97963/8980428. ------ 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. ------ 97964/8980455. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.b)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 97965/8980509. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 97966/8980536. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 97967/8980572. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(c ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(c ((a a)(^y.y)))) 5. ==[ beta ]==> (c ((a a)(^y.y))) 6. ==[ alpha ]==> (c ((a a)(^x.x))) REDUCED to normal form. ------ 97968/8980626. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)(a (a (^y1.(^z1.z1))))) 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. ------ 97969/8980707. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 97970/8980761. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a 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. ------ 97971/8980788. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 97972/8980842. ------ 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) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(a a)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 11. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 12. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 13. ==[ beta ]==> (a ((^y.y)(a a))) 14. ==[ alpha ]==> (a ((^x.x)(a a))) 15. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 97973/8980932. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 97974/8980959. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 97975/8980995. ------ 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) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 97976/8981022. ------ 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. ------ 97977/8981076. ------ 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. ------ 97978/8981103. ------ 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. ------ 97979/8981130. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 97980/8981148. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 97981/8981157. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 97982/8981184. ------ 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. ------ 97983/8981463. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (b a))) 3. ==[ beta ]==> (((a a)(^y.y))(a (b a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (b a))) REDUCED to normal form. ------ 97984/8981490. ------ 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.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)) REDUCED to normal form. ------ 97985/8981499. ------ 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)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 97986/8981526. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(a a)) c)) 3. ==[ beta ]==> ((a (^y.b))((^z.(a a)) c)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(a a)) c)) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 97987/8981544. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a b)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b)((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)((^x.x) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a b) a)) REDUCED to normal form. ------ 97988/8981625. ------ 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. ------ 97989/8981778. ------ 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 a)) REDUCED to normal form. ------ 97990/8981805. ------ 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. ------ 97991/8981859. ------ 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. ------ 97992/8981886. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))((a a) a))) 5. ==[ beta ]==> (((a b) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 97993/8981913. ------ 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. ------ 97994/8981940. ------ 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.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. ------ 97995/8981967. ------ 1. ==[ start ]==> ((a (b a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.x)((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. ------ 97996/8982246. ------ 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. ------ 97997/8982273. ------ 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 (^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. ------ 97998/8982309. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a) d)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a) d)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) d)) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 97999/8982327. ------ 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. ------ 98000/8982408. ------ 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. ------ 98001/8982471. ------ 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 a))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 98002/8982534. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 98003/8982561. ------ 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. ------ 98004/8982588. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 12. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 13. ==[ beta ]==> ((a (a a))(^y.y)) 14. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 98005/8982615. ------ 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. ------ 98006/8982642. ------ 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.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. ------ 98007/8982669. ------ 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)(^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)(^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. ------ 98008/8982696. ------ 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. ------ 98009/8982723. ------ 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.(^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. ------ 98010/8982804. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 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. ------ 98011/8982894. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 98012/8982975. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))((^z1.z1) 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. ------ 98013/8983083. ------ 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)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98014/8983119. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a b)(^x1.x1))) REDUCED to normal form. ------ 98015/8983200. ------ 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. ------ 98016/8983227. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 98017/8983281. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 98018/8983308. ------ 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. ------ 98019/8983335. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a) a) b)) REDUCED to normal form. ------ 98020/8983425. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)(^b.(^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. ------ 98021/8983452. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^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. ------ 98022/8983479. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.b)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.b)) REDUCED to normal form. ------ 98023/8983641. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b (^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.a))) REDUCED to normal form. ------ 98024/8983686. ------ 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. ------ 98025/8983722. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 98026/8984001. ------ 1. ==[ start ]==> (((^a.(^a.(^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))(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. ------ 98027/8984010. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 98028/8984037. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((b a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((b a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 98029/8984055. ------ 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. ------ 98030/8984064. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) c)) 3. ==[ beta ]==> (((a a)(^x.x))(c c)) REDUCED to normal form. ------ 98031/8984082. ------ 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)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1) 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. ------ 98032/8984136. ------ 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)))) 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. ------ 98033/8984172. ------ 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))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.x1))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 98034/8984199. ------ 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. ------ 98035/8984226. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a)(^b.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. ------ 98036/8984253. ------ 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 (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 98037/8984280. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 98038/8984334. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (a a)) b)) REDUCED to normal form. ------ 98039/8984361. ------ 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. ------ 98040/8984397. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^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. ------ 98041/8984424. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 98042/8984532. ------ 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. ------ 98043/8984559. ------ 1. ==[ start ]==> (((a b)((a a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 98044/8984586. ------ 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))(a a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a a))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 98045/8984613. ------ 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. ------ 98046/8984667. ------ 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. ------ 98047/8984694. ------ 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))) 5. ==[ beta ]==> ((b (a a))((^y.y)(^y.y))) 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. ------ 98048/8984721. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a)(^a.(^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. ------ 98049/8984757. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 98050/8985000. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(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. ------ 98051/8985036. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a) c)) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a) c)) 3. ==[ beta ]==> ((b b)((a a) c)) REDUCED to normal form. ------ 98052/8985063. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a) a)) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 98053/8985081. ------ 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))) REDUCED to normal form. ------ 98054/8985108. ------ 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. ------ 98055/8985117. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) c) REDUCED to normal form. ------ 98056/8985144. ------ 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))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 98057/8985162. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b b)) 3. ==[ beta ]==> (((b a)(b a))(b b)) REDUCED to normal form. ------ 98058/8985225. ------ 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. ------ 98059/8985243. ------ 1. ==[ start ]==> (((^a.b)(a b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(a (a (^y.y)))) 3. ==[ beta ]==> (b (a (a (^y.y)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 98060/8985252. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 98061/8985306. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 98062/8985351. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(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. ------ 98063/8985360. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 98064/8985386. ------ 1. ==[ start ]==> (^a.(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(b (^y.(^z.z)))) REDUCED to normal form. ------ 98065/8985387. ------ 1. ==[ start ]==> (a (((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (a (((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> (a (b (^y.(^z.z)))) 4. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 98066/8987667. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.((^z.(a (^x1.(^y1.y1))))(^z.(a (^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (^x.((^y.(a (^z.(^x1.x1))))(^y1.(a (^z1.(^x2.x2)))))) 5. ==[ beta ]==> (^x.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 98067/8989305. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(^x1.x1)))) 3. ==[ eta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 98068/8992728. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a))) a) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z))) a) 3. ==[ beta ]==> ((b (^y.(^z.z))) a) 4. ==[ alpha ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 98069/8992734. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) b)(^a.(^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. ------ 98070/8992743. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98071/8992761. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((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))) REDUCED to normal form. ------ 98072/8992788. ------ 1. ==[ start ]==> ((^a.b)((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((b a)(^y.(y y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 98073/8992869. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)(^z.b))) 3. ==[ beta ]==> (((a b)(^z.b))(^y.y)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 98074/8992986. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 98075/8993058. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(a a)) a)) 3. ==[ eta ]==> ((^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. ------ 98076/8993229. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 98077/8993403. ------ 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. ------ 98078/8994111. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((((a (^y.(^z.z))) b)((a (^y.(^z.z))) b))((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((((a (^x.(^y.y))) b)((a (^z.(^x1.x1))) b))((a (^y1.(^z1.z1))) b)) REDUCED to normal form. ------ 98079/8994402. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 98080/8994717. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.x1))) IRREDUCIBLE: cycle. ------ 98081/8995011. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(((^z.z)(a (^x1.(^y1.y1))))((^z.z)(a (^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (^x.(((^y.y)(a (^z.(^x1.x1))))((^y1.y1)(a (^z1.(^x2.x2)))))) 5. ==[ beta ]==> (^x.((a (^z.(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2)))))) 6. ==[ alpha ]==> (^x.((a (^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1)))))) 7. ==[ beta ]==> (^x.((a (^y.(^z.z)))(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 98082/8995014. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 98083/8995311. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 98084/8995590. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(b a))) REDUCED to normal form. ------ 98085/8995608. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 98086/8995893. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((b a) a)) 3. ==[ beta ]==> ((((b a) a)((b a) a))(^y.y)) 4. ==[ alpha ]==> ((((b a) a)((b a) a))(^x.x)) REDUCED to normal form. ------ 98087/8996649. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(^c.(^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. ------ 98088/8996652. ------ 1. ==[ start ]==> ((a (b a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 98089/8997129. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 98090/8997198. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.b)(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 98091/8997579. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 98092/8997795. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 98093/8998089. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98094/8998404. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 98095/8998686. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.(^c.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. ------ 98096/8998695. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((z z) z))) REDUCED to normal form. ------ 98097/8999403. ------ 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. ------ 98098/8999577. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 98099/8999748. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.((^y.y) x))) 3. ==[ eta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 98100/8999802. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 98101/8999928. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 98102/8999937. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(y (^z.z)))) REDUCED to normal form. ------ 98103/9000036. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98104/9000045. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(x1 x1))) REDUCED to normal form. ------ 98105/9000072. ------ 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. ------ 98106/9000084. ------ 1. ==[ start ]==> ((a a)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 98107/9000093. ------ 1. ==[ start ]==> ((a (^a.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 98108/9000111. ------ 1. ==[ start ]==> ((a (a a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 98109/9000120. ------ 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. ------ 98110/9000138. ------ 1. ==[ start ]==> ((a b)((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((b a)(^x.(x x)))) REDUCED to normal form. ------ 98111/9000219. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.b))) REDUCED to normal form. ------ 98112/9000228. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98113/9000282. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 98114/9000309. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 98115/9000336. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 98116/9000354. ------ 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. ------ 98117/9000408. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a)) a)) 3. ==[ beta ]==> ((a a)(((a a)(a a)) a)) REDUCED to normal form. ------ 98118/9000417. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 98119/9000444. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.x2)))) 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. ------ 98120/9000579. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.b))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 98121/9000687. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.a)(^z.(^x1.(^y1.y1))))((^y.a)(^z.(^x1.(^y1.y1))))) 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. ------ 98122/9000714. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 98123/9000750. ------ 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. ------ 98124/9000777. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) b)(a a))) 3. ==[ beta ]==> (((a (a a)) a)(b (a a))) REDUCED to normal form. ------ 98125/9000804. ------ 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 (^x1.x1)))) REDUCED to normal form. ------ 98126/9000831. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((b a) a)) REDUCED to normal form. ------ 98127/9000858. ------ 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. ------ 98128/9000885. ------ 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. ------ 98129/9000993. ------ 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. ------ 98130/9001038. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98131/9001065. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 98132/9001119. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 98133/9001254. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 98134/9001380. ------ 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))))) REDUCED to normal form. ------ 98135/9001407. ------ 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. ------ 98136/9001434. ------ 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. ------ 98137/9001461. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 98138/9001551. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a))(^b.(^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. ------ 98139/9001632. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 98140/9001713. ------ 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))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 98141/9001722. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 98142/9001749. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 98143/9001776. ------ 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. ------ 98144/9001965. ------ 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. ------ 98145/9002064. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (^z.z))) IRREDUCIBLE: cycle. ------ 98146/9002145. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 98147/9002172. ------ 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. ------ 98148/9002199. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(^y1.y1)))) 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. ------ 98149/9002253. ------ 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. ------ 98150/9002334. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 98151/9002361. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 98152/9002379. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 98153/9002406. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((b a) b)) REDUCED to normal form. ------ 98154/9002577. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 98155/9002604. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 98156/9002658. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.(^y2.y2))))) 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. ------ 98157/9002748. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (((a b) b)((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a b) b)((a a)((^x.x) a))) 5. ==[ beta ]==> (((a b) b)((a a) a)) REDUCED to normal form. ------ 98158/9002775. ------ 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. ------ 98159/9002802. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 98160/9002829. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))((a a) a)) REDUCED to normal form. ------ 98161/9002883. ------ 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. ------ 98162/9002910. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (((a (^y.y))((a a)(^z.z)))((a (^y.y))((a a)(^z.z)))) 8. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 98163/9002937. ------ 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. ------ 98164/9002955. ------ 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 (a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 98165/9003027. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a 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. ------ 98166/9003054. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b)(^y.(y y)))) REDUCED to normal form. ------ 98167/9003081. ------ 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. ------ 98168/9003135. ------ 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. ------ 98169/9003162. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((((a a) a) a)(a (^y.(a a)))) 6. ==[ alpha ]==> ((((a a) a) a)(a (^x.(a a)))) REDUCED to normal form. ------ 98170/9003189. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 98171/9003243. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((b a) a)) REDUCED to normal form. ------ 98172/9003279. ------ 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.(^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. ------ 98173/9003414. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.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. ------ 98174/9003423. ------ 1. ==[ start ]==> (((a b) c)(d (a b))) REDUCED to normal form. ------ 98175/9003450. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) b)(c ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) b)(c ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) b)(c (a a))) REDUCED to normal form. ------ 98176/9003477. ------ 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. ------ 98177/9003531. ------ 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.z))(a a))) REDUCED to normal form. ------ 98178/9003558. ------ 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. ------ 98179/9003612. ------ 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. ------ 98180/9003639. ------ 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))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 8. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 98181/9003666. ------ 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. ------ 98182/9003693. ------ 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) 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. ------ 98183/9003720. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(a a))) REDUCED to normal form. ------ 98184/9003783. ------ 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.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))) REDUCED to normal form. ------ 98185/9003810. ------ 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.(^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. ------ 98186/9003837. ------ 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. ------ 98187/9003864. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(z z)))) 7. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(z z)))) 8. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 9. ==[ beta ]==> (((a a) a)(^y.(y y))) 10. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 98188/9003891. ------ 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. ------ 98189/9003918. ------ 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. ------ 98190/9003945. ------ 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. ------ 98191/9003972. ------ 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)))) REDUCED to normal form. ------ 98192/9003999. ------ 1. ==[ start ]==> ((a (b a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 98193/9004089. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(^x1.a))) 5. ==[ beta ]==> (b ((^z.b)(^x1.a))) 6. ==[ alpha ]==> (b ((^x.b)(^y.a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 98194/9004170. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 98195/9004233. ------ 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)(^x.x)) b)(b (a a))) REDUCED to normal form. ------ 98196/9004341. ------ 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.z) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(((a a) a) a)) REDUCED to normal form. ------ 98197/9004368. ------ 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. ------ 98198/9004422. ------ 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. ------ 98199/9004440. ------ 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. ------ 98200/9004449. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 98201/9004476. ------ 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)))) 5. ==[ beta ]==> (((a a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 98202/9004548. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 98203/9004566. ------ 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. ------ 98204/9004593. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 98205/9004620. ------ 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. ------ 98206/9004647. ------ 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. ------ 98207/9004674. ------ 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.z))(^x1.b))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(^z.b))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.b))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 98208/9004701. ------ 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)(^y.y))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 98209/9004728. ------ 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. ------ 98210/9004755. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a b) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))((a b) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a b) b)) 5. ==[ beta ]==> (((a a) a)((a b) b)) REDUCED to normal form. ------ 98211/9004845. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 98212/9004926. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(a 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)))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 98213/9005115. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(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. ------ 98214/9005124. ------ 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. ------ 98215/9005142. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 98216/9005169. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.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. ------ 98217/9005223. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z) a))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 98218/9005304. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^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. ------ 98219/9005412. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(^a.a))(^b.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. ------ 98220/9005439. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 98221/9005538. ------ 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. ------ 98222/9005565. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a) b)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a) b)) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 98223/9005592. ------ 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. ------ 98224/9005727. ------ 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. ------ 98225/9005754. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(^a.a))(^a.(^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. ------ 98226/9005763. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^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) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98227/9005790. ------ 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))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)((^z1.(z1 z1))((^x2.x2) 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. ------ 98228/9005925. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^a.a))(^a.(^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. ------ 98229/9006042. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a ((a a) a))) REDUCED to normal form. ------ 98230/9006069. ------ 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. ------ 98231/9006096. ------ 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. ------ 98232/9006123. ------ 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)((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a ((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a ((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 98233/9006168. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b (^b.(^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. ------ 98234/9006249. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.(y y))(a (^z.z)))) 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. ------ 98235/9006258. ------ 1. ==[ start ]==> (((a b)(^c.a))(d c)) 2. ==[ alpha ]==> (((a b)(^x.a))(d c)) REDUCED to normal form. ------ 98236/9006285. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c d)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c d)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c d)) REDUCED to normal form. ------ 98237/9006357. ------ 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))(^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. ------ 98238/9006483. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(^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. ------ 98239/9006510. ------ 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. ------ 98240/9006537. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.a) c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a) c)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a) c)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.a) c)) 7. ==[ beta ]==> ((a a)((^y.a) c)) 8. ==[ alpha ]==> ((a a)((^x.a) c)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 98241/9006618. ------ 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. ------ 98242/9006645. ------ 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. ------ 98243/9006699. ------ 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 x1)))) REDUCED to normal form. ------ 98244/9006726. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (a a)) a)) 3. ==[ beta ]==> ((b (a a))((a (a a)) a)) REDUCED to normal form. ------ 98245/9006753. ------ 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. ------ 98246/9006789. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^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. ------ 98247/9006924. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.(z z)))) 3. ==[ beta ]==> (b (a (^z.(z z)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 98248/9007032. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98249/9007068. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(b (a (^y.y)))) 3. ==[ beta ]==> ((b b)(b (a (^y.y)))) 4. ==[ alpha ]==> ((b b)(b (a (^x.x)))) REDUCED to normal form. ------ 98250/9007095. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a ((^a.a) 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. ------ 98251/9007140. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(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. ------ 98252/9007149. ------ 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. ------ 98253/9007194. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^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))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 98254/9007257. ------ 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. ------ 98255/9007275. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 98256/9007284. ------ 1. ==[ start ]==> (((a b)(^a.b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(a (a (^y.y)))) REDUCED to normal form. ------ 98257/9007338. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 98258/9007383. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98259/9007392. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (a a))) REDUCED to normal form. ------ 98260/9007419. ------ 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)) REDUCED to normal form. ------ 98261/9009708. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.(^z1.z1))))(^z.(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.(^z2.z2)))))) 5. ==[ beta ]==> (^x.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 98262/9014769. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a))) b) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z))) b) 3. ==[ beta ]==> ((b (^y.(^z.z))) b) 4. ==[ alpha ]==> ((b (^x.(^y.y))) b) REDUCED to normal form. ------ 98263/9014793. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98264/9014874. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 98265/9015036. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^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 ]==> (^x.(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 98266/9015453. ------ 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. ------ 98267/9015729. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) a)(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. ------ 98268/9016452. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 98269/9016494. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 98270/9016674. ------ 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. ------ 98271/9017061. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(((a a)(^z.(^x1.(^y1.y1))))((a a)(^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (^x.(((a a)(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.(^x2.x2)))))) REDUCED to normal form. ------ 98272/9017064. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 98273/9017667. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 98274/9019248. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a b)(^a.(^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. ------ 98275/9019854. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.(x1 x1)))) REDUCED to normal form. ------ 98276/9020043. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.(y y))) a) 4. ==[ beta ]==> (((a a)(^y.(y y))) a) 5. ==[ alpha ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 98277/9020241. ------ 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. ------ 98278/9020421. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98279/9020745. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.a))) REDUCED to normal form. ------ 98280/9020907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 98281/9021186. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.((^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))(^x.(^z.z))) 6. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 98282/9021294. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(a (a a)))) REDUCED to normal form. ------ 98283/9021798. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.a))) REDUCED to normal form. ------ 98284/9021879. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.(^b.a))) 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. ------ 98285/9021978. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.b)) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 98286/9021987. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 98287/9022041. ------ 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)))) REDUCED to normal form. ------ 98288/9022095. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.y1))) REDUCED to normal form. ------ 98289/9022122. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) 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))) REDUCED to normal form. ------ 98290/9022152. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 98291/9022161. ------ 1. ==[ start ]==> (((^a.a) a)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (a ((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 98292/9022179. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 98293/9022188. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 98294/9022206. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((b a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)((b a)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 98295/9022233. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 98296/9022242. ------ 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 ]==> (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. ------ 98297/9022269. ------ 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 a) REDUCED to normal form. ------ 98298/9022287. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98299/9022296. ------ 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. ------ 98300/9022314. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 98301/9022350. ------ 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 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. ------ 98302/9022377. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((b a)(b a))) REDUCED to normal form. ------ 98303/9022395. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 98304/9022431. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 98305/9022476. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.a)(((a a)(a a)) a)) 4. ==[ alpha ]==> ((^x.a)(((a a)(a a)) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 98306/9022503. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) b)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 98307/9022512. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 98308/9022539. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 98309/9022620. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 98310/9022809. ------ 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. ------ 98311/9022854. ------ 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. ------ 98312/9022980. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b)((a a) a))) REDUCED to normal form. ------ 98313/9023007. ------ 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. ------ 98314/9023034. ------ 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. ------ 98315/9023061. ------ 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. ------ 98316/9023088. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(b a))) 5. ==[ beta ]==> ((a (^x.x))(a (b a))) REDUCED to normal form. ------ 98317/9023178. ------ 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. ------ 98318/9023187. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.b)(a a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(a a))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 98319/9023214. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 98320/9023232. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.a))) 5. ==[ beta ]==> ((^y.y)((b a)(^z.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. ------ 98321/9023259. ------ 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 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. ------ 98322/9023295. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 98323/9023313. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 98324/9023322. ------ 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. ------ 98325/9023556. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 98326/9023646. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)(^c.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. ------ 98327/9023727. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 98328/9023781. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 98329/9023808. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^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. ------ 98330/9023853. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 98331/9023871. ------ 1. ==[ start ]==> (((a a)((a a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 98332/9023898. ------ 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)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 98333/9023925. ------ 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. ------ 98334/9023952. ------ 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. ------ 98335/9023979. ------ 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. ------ 98336/9024006. ------ 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))((^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. ------ 98337/9024033. ------ 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. ------ 98338/9024204. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 98339/9024213. ------ 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. ------ 98340/9024231. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(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. ------ 98341/9024240. ------ 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. ------ 98342/9024258. ------ 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)((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. ------ 98343/9024294. ------ 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) REDUCED to normal form. ------ 98344/9024312. ------ 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. ------ 98345/9024321. ------ 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. ------ 98346/9024348. ------ 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 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))((^z.z)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 98347/9024375. ------ 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) REDUCED to normal form. ------ 98348/9024402. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 98349/9024420. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 98350/9024591. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 98351/9024798. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 98352/9025023. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 98353/9025239. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 98354/9025338. ------ 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) REDUCED to normal form. ------ 98355/9025482. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a b) c)((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a b) c)((^x.b)(^y.b))) 5. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 98356/9025509. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 98357/9025635. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(a a)) c)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(a a)) c)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a)) c)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 98358/9025815. ------ 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. ------ 98359/9026148. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a b) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a b) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a b) c)) 5. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 98360/9026292. ------ 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)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 98361/9026337. ------ 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. ------ 98362/9026364. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 98363/9026418. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a) d)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a) d)) 3. ==[ beta ]==> (((a b)(a b))((^y.a) d)) 4. ==[ alpha ]==> (((a b)(a b))((^x.a) d)) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 98364/9026508. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (^y.b))) REDUCED to normal form. ------ 98365/9026535. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(b (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(a a)))) REDUCED to normal form. ------ 98366/9026607. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 98367/9026886. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 98368/9027066. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (b ((^x1.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 98369/9027183. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.b))) REDUCED to normal form. ------ 98370/9027210. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.(a a)))) REDUCED to normal form. ------ 98371/9027228. ------ 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 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. ------ 98372/9027282. ------ 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)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.a))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.a))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.a))) 11. ==[ beta ]==> (((a a)(a a))(^y.a)) 12. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 98373/9027291. ------ 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. ------ 98374/9027318. ------ 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. ------ 98375/9027363. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 98376/9027372. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^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. ------ 98377/9027399. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)(a b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)(a b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a b))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 98378/9027426. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 98379/9027480. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(^a.a))(^b.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. ------ 98380/9027543. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(c (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(c (^y.y))) REDUCED to normal form. ------ 98381/9027570. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^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. ------ 98382/9027597. ------ 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. ------ 98383/9027624. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.y)(a b))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)(a a))) 5. ==[ beta ]==> ((a b)(((a a) a)(a a))) REDUCED to normal form. ------ 98384/9027651. ------ 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. ------ 98385/9027678. ------ 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) a))) 3. ==[ beta ]==> (((a b)(^y.y))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (a a))((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 98386/9027705. ------ 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. ------ 98387/9027732. ------ 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)(^x.x)) 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. ------ 98388/9027777. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a (^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98389/9027822. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(^a.a))(^a.(^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. ------ 98390/9027849. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (a a))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z1.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. ------ 98391/9027984. ------ 1. ==[ start ]==> (((^a.b)(^c.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. ------ 98392/9028101. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.a)) REDUCED to normal form. ------ 98393/9028146. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1)) b)) 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)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 98394/9028263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.a))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.a))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 98395/9028290. ------ 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))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 98396/9028308. ------ 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. ------ 98397/9028317. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 98398/9028344. ------ 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)((^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. ------ 98399/9028371. ------ 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.(^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. ------ 98400/9028416. ------ 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)(^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. ------ 98401/9028425. ------ 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))(^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. ------ 98402/9028452. ------ 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. ------ 98403/9028488. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c ((^y.y) a))) 3. ==[ beta ]==> (((a a) b)(c ((^y.y) a))) 4. ==[ alpha ]==> (((a a) b)(c ((^x.x) a))) 5. ==[ beta ]==> (((a a) b)(c a)) REDUCED to normal form. ------ 98404/9028515. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b (a (a a)))) REDUCED to normal form. ------ 98405/9028542. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(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)))) 5. ==[ beta ]==> ((a (b a))(a (^y.y))) 6. ==[ alpha ]==> ((a (b a))(a (^x.x))) REDUCED to normal form. ------ 98406/9028569. ------ 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. ------ 98407/9028596. ------ 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. ------ 98408/9028623. ------ 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. ------ 98409/9028650. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)(a (a a)))) REDUCED to normal form. ------ 98410/9028848. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) c)) 5. ==[ beta ]==> ((a (^y.y)) c) 6. ==[ alpha ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 98411/9029091. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98412/9029127. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 98413/9029154. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a)(^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. ------ 98414/9029172. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.a) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.a) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 98415/9029199. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98416/9029208. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 98417/9029235. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a (^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.a))) REDUCED to normal form. ------ 98418/9029253. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 98419/9029316. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(^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. ------ 98420/9029334. ------ 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. ------ 98421/9029343. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 98422/9029397. ------ 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)))) REDUCED to normal form. ------ 98423/9029442. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((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. ------ 98424/9029451. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 98425/9029478. ------ 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))) REDUCED to normal form. ------ 98426/9029823. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((a a)(a a)))) 3. ==[ eta ]==> ((^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. ------ 98427/9032658. ------ 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 ]==> (((^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. ------ 98428/9036837. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a))) c) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z))) c) 3. ==[ beta ]==> ((b (^y.(^z.z))) c) 4. ==[ alpha ]==> ((b (^x.(^y.y))) c) REDUCED to normal form. ------ 98429/9036888. ------ 1. ==[ start ]==> ((^a.(a a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^y.y)(a (^z.z)))) 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. ------ 98430/9036915. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 98431/9036996. ------ 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 a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 98432/9037185. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)((a a)(a a)))) 3. ==[ eta ]==> ((^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. ------ 98433/9037188. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 98434/9037548. ------ 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 ]==> (((^y.y)(^y.y))(^z.((z z)(z z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z)(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.((z z)(z z)))) 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. ------ 98435/9037680. ------ 1. ==[ start ]==> ((^a.(^b.(^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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 98436/9038214. ------ 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. ------ 98437/9038238. ------ 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 ]==> (((^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. ------ 98438/9038571. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 98439/9039159. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 98440/9039345. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.b))((^z.(^x1.x1))(^y1.b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.b))((^y1.(^z1.z1))(^x2.b)))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.b))((^y1.(^z1.z1))(^x2.b))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98441/9039735. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(b a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(b a))) 3. ==[ beta ]==> (b (^z.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 98442/9040020. ------ 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. ------ 98443/9040023. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(y a))) REDUCED to normal form. ------ 98444/9040302. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z)(a a))) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 98445/9040776. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ eta ]==> (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. ------ 98446/9041058. ------ 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. ------ 98447/9041508. ------ 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. ------ 98448/9041613. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(^z1.(z1 z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 98449/9042318. ------ 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. ------ 98450/9042507. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.b))) REDUCED to normal form. ------ 98451/9042531. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 98452/9043263. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.(^b.(^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. ------ 98453/9043398. ------ 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.(^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. ------ 98454/9043506. ------ 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)))) REDUCED to normal form. ------ 98455/9043530. ------ 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 ]==> ((((^y.y)(^y.y))((^z.(z z))(^x1.x1)))(((^y1.(y1 y1))(^z1.z1))((^x2.(x2 x2))(^y2.y2)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.(z z))(^x1.x1)))(((^y1.(y1 y1))(^z1.z1))((^x2.(x2 x2))(^y2.y2)))) 7. ==[ beta ]==> (((^y.y)((^z.(z z))(^x1.x1)))(((^y1.(y1 y1))(^z1.z1))((^x2.(x2 x2))(^y2.y2)))) 8. ==[ alpha ]==> (((^x.x)((^y.(y y))(^z.z)))(((^x1.(x1 x1))(^y1.y1))((^z1.(z1 z1))(^x2.x2)))) 9. ==[ beta ]==> (((^y.(y y))(^z.z))(((^x1.(x1 x1))(^y1.y1))((^z1.(z1 z1))(^x2.x2)))) 10. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.(z z))(^x1.x1))((^y1.(y1 y1))(^z1.z1)))) 11. ==[ beta ]==> (((^y.y)(^y.y))(((^z.(z z))(^x1.x1))((^y1.(y1 y1))(^z1.z1)))) 12. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.(z z))(^x1.x1))((^y1.(y1 y1))(^z1.z1)))) 13. ==[ beta ]==> ((^y.y)(((^z.(z z))(^x1.x1))((^y1.(y1 y1))(^z1.z1)))) 14. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.z))((^x1.(x1 x1))(^y1.y1)))) 15. ==[ beta ]==> (((^y.(y y))(^z.z))((^x1.(x1 x1))(^y1.y1))) 16. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.x1))) 17. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.x1))) 18. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 19. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 20. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 21. ==[ beta ]==> ((^y.(y y))(^z.z)) 22. ==[ alpha ]==> ((^x.(x x))(^y.y)) 23. ==[ beta ]==> ((^y.y)(^y.y)) 24. ==[ alpha ]==> ((^x.x)(^y.y)) 25. ==[ beta ]==> (^y.y) 26. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98456/9043704. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^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. ------ 98457/9043893. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.((^a.a) a))) 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. ------ 98458/9043956. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.c)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.c)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.c)) REDUCED to normal form. ------ 98459/9044064. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.b)) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.b)) REDUCED to normal form. ------ 98460/9044118. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 98461/9044163. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98462/9044172. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.a)) REDUCED to normal form. ------ 98463/9044199. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 98464/9044247. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) b)(^a.(^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)))) 5. ==[ beta ]==> (a (b (^y.(^z.z)))) 6. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 98465/9044256. ------ 1. ==[ start ]==> ((a (a a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> ((a (a a))(a (^y.y))) 4. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 98466/9044274. ------ 1. ==[ start ]==> (((a a) a)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 98467/9044283. ------ 1. ==[ start ]==> ((a b)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 98468/9044301. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.(y y)))) REDUCED to normal form. ------ 98469/9044328. ------ 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 ]==> (b (((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 98470/9044364. ------ 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 a)) REDUCED to normal form. ------ 98471/9044382. ------ 1. ==[ start ]==> (((a a) b)((a b)(^a.b))) 2. ==[ alpha ]==> (((a a) b)((a b)(^x.b))) REDUCED to normal form. ------ 98472/9044409. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 98473/9044499. ------ 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. ------ 98474/9044517. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 98475/9044526. ------ 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 (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 98476/9044553. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a a)((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 98477/9044598. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) b) b)) 3. ==[ beta ]==> (((a (^x.x)) b)(b b)) REDUCED to normal form. ------ 98478/9044742. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 98479/9044796. ------ 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. ------ 98480/9044859. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(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. ------ 98481/9044913. ------ 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)(^y.y))(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. ------ 98482/9044940. ------ 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. ------ 98483/9044949. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.b) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) b)) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 98484/9044967. ------ 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 (^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. ------ 98485/9044976. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 98486/9045021. ------ 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. ------ 98487/9045048. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 98488/9045183. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98489/9045210. ------ 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 (^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. ------ 98490/9045273. ------ 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. ------ 98491/9045300. ------ 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.(^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)))) REDUCED to normal form. ------ 98492/9045327. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 98493/9045354. ------ 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)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 98494/9045381. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a 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. ------ 98495/9045408. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 98496/9045435. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a) a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.b))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^z.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. ------ 98497/9045471. ------ 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)(^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. ------ 98498/9045498. ------ 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 a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 98499/9045525. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(b a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(b a))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 98500/9045552. ------ 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. ------ 98501/9045579. ------ 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. ------ 98502/9045606. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.y))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 98503/9045921. ------ 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. ------ 98504/9045939. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 98505/9046128. ------ 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. ------ 98506/9046209. ------ 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 (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(a (^z.(^x1.x1))))) IRREDUCIBLE: cycle. ------ 98507/9046272. ------ 1. ==[ start ]==> ((((a a) a) b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 98508/9046299. ------ 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. ------ 98509/9046326. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.(y y)))) REDUCED to normal form. ------ 98510/9046380. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 98511/9046407. ------ 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. ------ 98512/9046434. ------ 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. ------ 98513/9046524. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(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. ------ 98514/9046551. ------ 1. ==[ start ]==> (((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))) 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. ------ 98515/9046632. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.(z z)))) 7. ==[ beta ]==> (a ((^y.(a a))(^z.(z z)))) 8. ==[ alpha ]==> (a ((^x.(a a))(^y.(y y)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 98516/9046659. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 98517/9046686. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 98518/9046713. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 98519/9046803. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (b a))) 5. ==[ beta ]==> ((^y.y)(b (b a))) 6. ==[ alpha ]==> ((^x.x)(b (b a))) 7. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 98520/9046884. ------ 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 (^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. ------ 98521/9046893. ------ 1. ==[ start ]==> (((a b) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 98522/9046938. ------ 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. ------ 98523/9046965. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((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. ------ 98524/9047019. ------ 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. ------ 98525/9047100. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)(b a))) 3. ==[ beta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 98526/9047136. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((b a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 98527/9047199. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 98528/9047226. ------ 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. ------ 98529/9047280. ------ 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. ------ 98530/9047307. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y))(a b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))(a b))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(a b))) 5. ==[ beta ]==> ((((a a) a) a)((a b)(a b))) REDUCED to normal form. ------ 98531/9047325. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 98532/9047334. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 98533/9047361. ------ 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 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. ------ 98534/9047388. ------ 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. ------ 98535/9047640. ------ 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. ------ 98536/9047667. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a 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. ------ 98537/9047703. ------ 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))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 98538/9047721. ------ 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. ------ 98539/9047802. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 98540/9047901. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 98541/9047955. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 98542/9047982. ------ 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. ------ 98543/9048009. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1) a))) 7. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1) a))) 8. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 9. ==[ beta ]==> ((^y.b)((^z.z) a)) 10. ==[ alpha ]==> ((^x.b)((^y.y) a)) 11. ==[ beta ]==> b REDUCED to normal form. ------ 98544/9048063. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 98545/9048090. ------ 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. ------ 98546/9048117. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 98547/9048144. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 98548/9048423. ------ 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. ------ 98549/9048450. ------ 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 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. ------ 98550/9048486. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.b) c)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.b) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b) c)) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 98551/9048504. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a b))(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a b))(((a a) a)((^x.x) a))) 5. ==[ beta ]==> (((a b)(a b))(((a a) a) a)) REDUCED to normal form. ------ 98552/9048513. ------ 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. ------ 98553/9048585. ------ 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. ------ 98554/9048711. ------ 1. ==[ start ]==> (((a a)(b a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 98555/9048765. ------ 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. ------ 98556/9048792. ------ 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. ------ 98557/9048819. ------ 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)((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((^y.a)((a a) a))) 6. ==[ alpha ]==> (((a a) a)((^x.a)((a a) a))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 98558/9048846. ------ 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.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. ------ 98559/9048873. ------ 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. ------ 98560/9048900. ------ 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 a))(^x1.x1))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))(^z.z))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.y))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 98561/9048927. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 98562/9048981. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 98563/9049071. ------ 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 a))(^y.(a a)))(b (a b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b (a b))) 5. ==[ beta ]==> ((a a)(b (a b))) REDUCED to normal form. ------ 98564/9049152. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 98565/9049260. ------ 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))((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. ------ 98566/9049287. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 98567/9049377. ------ 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. ------ 98568/9049404. ------ 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. ------ 98569/9049458. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 98570/9049485. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)(^z.b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.b))) REDUCED to normal form. ------ 98571/9049512. ------ 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. ------ 98572/9049602. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 98573/9049629. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.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. ------ 98574/9049683. ------ 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. ------ 98575/9049872. ------ 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. ------ 98576/9049899. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) 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) REDUCED to normal form. ------ 98577/9050178. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98578/9050214. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a) a)) 3. ==[ beta ]==> ((b a)((^y.a) a)) 4. ==[ alpha ]==> ((b a)((^x.a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 98579/9050232. ------ 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. ------ 98580/9050241. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 98581/9050259. ------ 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. ------ 98582/9050313. ------ 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 (^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 98583/9050376. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 98584/9050403. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 98585/9050430. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a) a)(^b.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. ------ 98586/9050457. ------ 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 (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 98587/9050511. ------ 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)(^z1.z1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 98588/9050538. ------ 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. ------ 98589/9050574. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.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. ------ 98590/9050601. ------ 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.(^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. ------ 98591/9050628. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)(^b.(^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. ------ 98592/9050709. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(c (^x.a))) REDUCED to normal form. ------ 98593/9050736. ------ 1. ==[ start ]==> (((a b)((a a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(b (^x.(x x)))) REDUCED to normal form. ------ 98594/9050763. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^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)))) REDUCED to normal form. ------ 98595/9050790. ------ 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. ------ 98596/9050844. ------ 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))((^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. ------ 98597/9050871. ------ 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. ------ 98598/9050898. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.y)(^y.y))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 6. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 98599/9050934. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(c (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(c (a (^y.y)))) 5. ==[ beta ]==> (c (a (^y.y))) 6. ==[ alpha ]==> (c (a (^x.x))) REDUCED to normal form. ------ 98600/9051069. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((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. ------ 98601/9051213. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (^y.y)) b)) 3. ==[ beta ]==> ((b b)((a (^y.y)) b)) 4. ==[ alpha ]==> ((b b)((a (^x.x)) b)) REDUCED to normal form. ------ 98602/9051258. ------ 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. ------ 98603/9051285. ------ 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)) REDUCED to normal form. ------ 98604/9051294. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 98605/9051339. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c a)) 3. ==[ beta ]==> (((b a)(b a))(c a)) REDUCED to normal form. ------ 98606/9051402. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 98607/9051420. ------ 1. ==[ start ]==> (((^a.b)(a b))(b (a a))) 2. ==[ alpha ]==> (((^x.b)(a b))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 98608/9051429. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a) b)) 2. ==[ alpha ]==> (((a b)(^x.b))((a a) b)) REDUCED to normal form. ------ 98609/9051483. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 98610/9051528. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(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. ------ 98611/9051537. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a) a)) REDUCED to normal form. ------ 98612/9051564. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) 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 (^x.(^y.y))) a) REDUCED to normal form. ------ 98613/9051590. ------ 1. ==[ start ]==> (^a.(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (^x.(((x x)(x x))(^y.y))) REDUCED to normal form. ------ 98614/9051591. ------ 1. ==[ start ]==> (a (((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (a (((a a)(a a))(^x.x))) REDUCED to normal form. ------ 98615/9058959. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a)) a) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 98616/9058965. ------ 1. ==[ start ]==> ((^a.a)(((a a)(a a))(^a.a))) 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. ------ 98617/9058992. ------ 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)(^z.(^x1.x1)))(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((b (^x.(^y.y)))(b (^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 98618/9059019. ------ 1. ==[ start ]==> ((^a.b)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 98619/9059217. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(b a))) 3. ==[ beta ]==> (^y.((^z.(z z))(b a))) 4. ==[ alpha ]==> (^x.((^y.(y y))(b a))) 5. ==[ beta ]==> (^x.((b a)(b a))) REDUCED to normal form. ------ 98620/9059301. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((^y.a)(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.a)(^y.((a a)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 98621/9059460. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 98622/9059652. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(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. ------ 98623/9059661. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 98624/9060342. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) b) a)) 3. ==[ beta ]==> (((((^y.y) b) a)(((^y.y) b) a))(((^y.y) b) a)) 4. ==[ alpha ]==> (((((^x.x) b) a)(((^y.y) b) a))(((^z.z) b) a)) 5. ==[ beta ]==> (((b a)(((^y.y) b) a))(((^z.z) b) a)) 6. ==[ alpha ]==> (((b a)(((^x.x) b) a))(((^y.y) b) a)) 7. ==[ beta ]==> (((b a)(b a))(((^y.y) b) a)) 8. ==[ alpha ]==> (((b a)(b a))(((^x.x) b) a)) 9. ==[ beta ]==> (((b a)(b a))(b a)) REDUCED to normal form. ------ 98625/9060660. ------ 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. ------ 98626/9061242. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(b a))((^z.(^x1.x1))(b a)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(b a))((^x1.(^y1.y1))(b a)))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1))(b a)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(b a)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(b a))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(b a))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 98627/9061263. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 98628/9061848. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(b a))) REDUCED to normal form. ------ 98629/9062415. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(b z))) 3. ==[ eta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 98630/9062880. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(^z.(a a)))) 3. ==[ eta ]==> (b ((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 98631/9063162. ------ 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. ------ 98632/9063429. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(a a))(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 98633/9063612. ------ 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. ------ 98634/9064053. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^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. ------ 98635/9064320. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98636/9064602. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 98637/9064635. ------ 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. ------ 98638/9064953. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.((y y) y))) 3. ==[ beta ]==> ((b a)(^y.((y y) y))) 4. ==[ alpha ]==> ((b a)(^x.((x x) x))) REDUCED to normal form. ------ 98639/9065088. ------ 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. ------ 98640/9065241. ------ 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)(^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. ------ 98641/9065610. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 98642/9065634. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (a a)) a)) 3. ==[ beta ]==> ((((a (a a)) a)((a (a a)) a))(((a (a a)) a)((a (a a)) a))) REDUCED to normal form. ------ 98643/9065916. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^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. ------ 98644/9065997. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 98645/9066078. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.(^b.a))) 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. ------ 98646/9066141. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.c)) REDUCED to normal form. ------ 98647/9066222. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 98648/9066267. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98649/9066276. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.b)) REDUCED to normal form. ------ 98650/9066303. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) 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))) REDUCED to normal form. ------ 98651/9066330. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 98652/9066342. ------ 1. ==[ start ]==> ((a a)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 98653/9066369. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) 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. ------ 98654/9066378. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 98655/9066396. ------ 1. ==[ start ]==> ((a b)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 98656/9066405. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 98657/9066450. ------ 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. ------ 98658/9066486. ------ 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. ------ 98659/9066513. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 98660/9066567. ------ 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 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. ------ 98661/9066594. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(b a))) 3. ==[ beta ]==> ((a (^x.a))((b a)(b a))) REDUCED to normal form. ------ 98662/9066612. ------ 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. ------ 98663/9066639. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 98664/9066675. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.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)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 98665/9066756. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 98666/9066837. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 98667/9066972. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 98668/9067008. ------ 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. ------ 98669/9067035. ------ 1. ==[ start ]==> (((a (a a)) a)(a ((a a)(a a)))) REDUCED to normal form. ------ 98670/9067062. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b (a a))) REDUCED to normal form. ------ 98671/9067089. ------ 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 (^y1.y1)))) REDUCED to normal form. ------ 98672/9067116. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^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. ------ 98673/9067143. ------ 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. ------ 98674/9067251. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((b b)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((b b)((^x.x)((^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. ------ 98675/9067431. ------ 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 (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 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. ------ 98676/9067512. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 98677/9067584. ------ 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)(^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. ------ 98678/9067665. ------ 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. ------ 98679/9067692. ------ 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. ------ 98680/9067719. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) b) a)) 3. ==[ beta ]==> ((a ((a a) a))(b a)) REDUCED to normal form. ------ 98681/9067755. ------ 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.(^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. ------ 98682/9067809. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 98683/9067917. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 98684/9067980. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (b a))) REDUCED to normal form. ------ 98685/9068007. ------ 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.(^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. ------ 98686/9068034. ------ 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. ------ 98687/9068070. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 98688/9068223. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b) a)(((^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 ((^y.y)(a b))) 6. ==[ alpha ]==> (b ((^x.x)(a b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 98689/9068322. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(^x1.(^y1.y1))))) IRREDUCIBLE: cycle. ------ 98690/9068430. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 98691/9068457. ------ 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. ------ 98692/9068592. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 98693/9068619. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 98694/9068637. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 98695/9068664. ------ 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)) REDUCED to normal form. ------ 98696/9068691. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((b a) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((b a) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a) b)) 5. ==[ beta ]==> ((a (^y.y))((b a) b)) 6. ==[ alpha ]==> ((a (^x.x))((b a) b)) REDUCED to normal form. ------ 98697/9068835. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 98698/9068862. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 98699/9069006. ------ 1. ==[ start ]==> (((a b) b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 98700/9069033. ------ 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))) 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. ------ 98701/9069060. ------ 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. ------ 98702/9069087. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)(^z.z))) REDUCED to normal form. ------ 98703/9069141. ------ 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. ------ 98704/9069168. ------ 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) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> ((((^y.y) a)((^z.z)(a a)))(((^y.y) a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 9. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 10. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)((^z.z)(a a)))) 11. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z)(a a)))) 12. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y)(a a)))) 13. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 14. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 15. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 98705/9069195. ------ 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)(^z.z)))) REDUCED to normal form. ------ 98706/9069222. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(b a))) REDUCED to normal form. ------ 98707/9069285. ------ 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)))) 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. ------ 98708/9069312. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.a))) REDUCED to normal form. ------ 98709/9069339. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a b)(^y.(y y)))) 3. ==[ beta ]==> ((a ((a a) a))((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((a ((a a) a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 98710/9069366. ------ 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. ------ 98711/9069420. ------ 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. ------ 98712/9069447. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 98713/9069672. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 98714/9069789. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (b a))) REDUCED to normal form. ------ 98715/9069816. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.b))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 98716/9069870. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98717/9069897. ------ 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. ------ 98718/9069924. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 8. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 98719/9069951. ------ 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. ------ 98720/9069978. ------ 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))(^y.y))(a (a b))) REDUCED to normal form. ------ 98721/9070068. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a b))(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 98722/9070095. ------ 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. ------ 98723/9070122. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.a))) 7. ==[ beta ]==> ((^y.y)((a b)(^z.a))) 8. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 9. ==[ beta ]==> ((a b)(^y.a)) 10. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 98724/9070149. ------ 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. ------ 98725/9070176. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^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)))) 7. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 98726/9070230. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (^y.b))) REDUCED to normal form. ------ 98727/9070257. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 98728/9070347. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 98729/9070428. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 98730/9070491. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (a b))) REDUCED to normal form. ------ 98731/9070536. ------ 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. ------ 98732/9070599. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 98733/9070626. ------ 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. ------ 98734/9070680. ------ 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. ------ 98735/9070707. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a ((a a) a))) REDUCED to normal form. ------ 98736/9070734. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(a b))) REDUCED to normal form. ------ 98737/9070761. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 98738/9070806. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 98739/9070824. ------ 1. ==[ start ]==> (((a a)(b a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 98740/9070851. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 98741/9070878. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(y y)))) 9. ==[ beta ]==> ((a (a a))(^y.(y y))) 10. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 98742/9070905. ------ 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. ------ 98743/9070959. ------ 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.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 98744/9070986. ------ 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. ------ 98745/9071013. ------ 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)(a a)) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 98746/9071040. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a b) b)) REDUCED to normal form. ------ 98747/9071103. ------ 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))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 98748/9071184. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^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. ------ 98749/9071382. ------ 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. ------ 98750/9071400. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b (^x1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 98751/9071409. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(a b))) REDUCED to normal form. ------ 98752/9071427. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 98753/9071562. ------ 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)(^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. ------ 98754/9071697. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^a.a))(^b.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. ------ 98755/9071823. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.b) a)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.b) a)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.b) a)) 5. ==[ beta ]==> ((a b)((^y.b) a)) 6. ==[ alpha ]==> ((a b)((^x.b) a)) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 98756/9071877. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 98757/9071976. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 98758/9072012. ------ 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. ------ 98759/9072021. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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 REDUCED to normal form. ------ 98760/9072048. ------ 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.(^x2.x2))(a (^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(a (^y2.y2)))) 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. ------ 98761/9072183. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 98762/9072291. ------ 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.(^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. ------ 98763/9072300. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (^z.z))) REDUCED to normal form. ------ 98764/9072327. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a ((a a) a))) 3. ==[ beta ]==> ((b a)(a ((a a) a))) REDUCED to normal form. ------ 98765/9072354. ------ 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. ------ 98766/9072381. ------ 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. ------ 98767/9072462. ------ 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. ------ 98768/9072507. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 98769/9072615. ------ 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)(^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. ------ 98770/9072687. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y) a) c)) 3. ==[ beta ]==> (((a a) b)(((^y.y) a) c)) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a) c)) 5. ==[ beta ]==> (((a a) b)(a c)) REDUCED to normal form. ------ 98771/9072768. ------ 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. ------ 98772/9072795. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z)) b)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(z z)) b)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y)) b)) 7. ==[ beta ]==> ((a a)((^y.(y y)) b)) 8. ==[ alpha ]==> ((a a)((^x.(x x)) b)) 9. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 98773/9072822. ------ 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. ------ 98774/9072903. ------ 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. ------ 98775/9072957. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 98776/9072984. ------ 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. ------ 98777/9073011. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (a a)) a)) REDUCED to normal form. ------ 98778/9073047. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.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. ------ 98779/9073182. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 98780/9073290. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^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. ------ 98781/9073326. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c (a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(c (a a))) 3. ==[ beta ]==> ((b b)(c (a a))) REDUCED to normal form. ------ 98782/9073353. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(b (a (^x.x)))) REDUCED to normal form. ------ 98783/9073371. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(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. ------ 98784/9073398. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(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. ------ 98785/9073407. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a a))) REDUCED to normal form. ------ 98786/9073434. ------ 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. ------ 98787/9073452. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a (^y.a))) 3. ==[ beta ]==> (((b a)(b a))(a (^y.a))) 4. ==[ alpha ]==> (((b a)(b a))(a (^x.a))) REDUCED to normal form. ------ 98788/9073515. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a c)) REDUCED to normal form. ------ 98789/9073533. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 98790/9073542. ------ 1. ==[ start ]==> (((a b)(^a.b))(b (a a))) 2. ==[ alpha ]==> (((a b)(^x.b))(b (a a))) REDUCED to normal form. ------ 98791/9073596. ------ 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. ------ 98792/9073641. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.y1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98793/9073650. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a b)) REDUCED to normal form. ------ 98794/9073677. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) 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))) REDUCED to normal form. ------ 98795/9073704. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a a)) REDUCED to normal form. ------ 98796/9081081. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a)) b) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x)) b) REDUCED to normal form. ------ 98797/9081105. ------ 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) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98798/9081186. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 98799/9081432. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 98800/9081792. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 98801/9082041. ------ 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. ------ 98802/9082143. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 98803/9082791. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 98804/9082806. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.b) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 98805/9082986. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(a b)) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a b)) b) 5. ==[ beta ]==> (((^y.y)(a b)) b) 6. ==[ alpha ]==> (((^x.x)(a b)) b) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 98806/9084006. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 98807/9085560. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 98808/9086382. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(a z))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 98809/9086451. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98810/9086580. ------ 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. ------ 98811/9087084. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.a))) 3. ==[ beta ]==> ((b a)(^y.(^z.a))) 4. ==[ alpha ]==> ((b a)(^x.(^y.a))) REDUCED to normal form. ------ 98812/9087246. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 98813/9087381. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.z1))) REDUCED to normal form. ------ 98814/9087525. ------ 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. ------ 98815/9088047. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 98816/9088209. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.c)) 3. ==[ beta ]==> (((b a)(b a))(^y.c)) 4. ==[ alpha ]==> (((b a)(b a))(^x.c)) REDUCED to normal form. ------ 98817/9088272. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 98818/9088407. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(a a))) REDUCED to normal form. ------ 98819/9088434. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) 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))) REDUCED to normal form. ------ 98820/9088461. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 98821/9088491. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 98822/9088518. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 98823/9088527. ------ 1. ==[ start ]==> (((a a) a)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a a) a)(a (^y.y))) 4. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 98824/9088545. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 98825/9088554. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 98826/9088572. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.(z z)))) REDUCED to normal form. ------ 98827/9088635. ------ 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. ------ 98828/9088653. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((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. ------ 98829/9088662. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(a b))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 98830/9088680. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 98831/9088716. ------ 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 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. ------ 98832/9088770. ------ 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)((^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. ------ 98833/9088815. ------ 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 REDUCED to normal form. ------ 98834/9088842. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((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. ------ 98835/9088851. ------ 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 (^x.x)) b)(a a)) REDUCED to normal form. ------ 98836/9088878. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.b)(^a.(^a.a)))) 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)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 98837/9088905. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 98838/9089067. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 98839/9089148. ------ 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. ------ 98840/9089220. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 98841/9089319. ------ 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)(^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. ------ 98842/9089346. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)((a a) a))) REDUCED to normal form. ------ 98843/9089373. ------ 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. ------ 98844/9089400. ------ 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))((^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. ------ 98845/9089427. ------ 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. ------ 98846/9089526. ------ 1. ==[ start ]==> (((a (a a)) b)(a (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(a (^x.(a a)))) REDUCED to normal form. ------ 98847/9089553. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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. ------ 98848/9089571. ------ 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.(^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))) REDUCED to normal form. ------ 98849/9089580. ------ 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 (^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. ------ 98850/9089598. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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. ------ 98851/9089634. ------ 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. ------ 98852/9089652. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 98853/9089661. ------ 1. ==[ start ]==> (((a (a a))(^a.(^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. ------ 98854/9089688. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.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. ------ 98855/9089895. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1))) 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. ------ 98856/9089985. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a))(^b.(^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. ------ 98857/9090012. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.a))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 98858/9090066. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))(^b.(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. ------ 98859/9090147. ------ 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))(^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. ------ 98860/9090174. ------ 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. ------ 98861/9090192. ------ 1. ==[ start ]==> ((a (^a.b))((^b.b) a)) 2. ==[ alpha ]==> ((a (^x.b))((^y.y) a)) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 98862/9090210. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 98863/9090237. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(a (^z.z)))) REDUCED to normal form. ------ 98864/9090264. ------ 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. ------ 98865/9090291. ------ 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. ------ 98866/9090318. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a b)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 98867/9090345. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 98868/9090372. ------ 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))((^y.y)(a b))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(a b))) 5. ==[ beta ]==> ((a (a b))(a b)) REDUCED to normal form. ------ 98869/9090525. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 98870/9090543. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 98871/9090570. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(^a.a))(^b.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. ------ 98872/9090579. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 98873/9090597. ------ 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.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(x1 x1)))) 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. ------ 98874/9090633. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 98875/9090687. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 98876/9090714. ------ 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.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. ------ 98877/9090732. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 98878/9090741. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 98879/9090930. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 98880/9091335. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 98881/9091389. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 98882/9091578. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(y y))(a b))) 3. ==[ beta ]==> (b ((^y.(y y))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 98883/9091677. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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. ------ 98884/9091821. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 98885/9091848. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.b))) 5. ==[ beta ]==> (((a a) b)((^y.b)(^y.b))) 6. ==[ alpha ]==> (((a a) b)((^x.b)(^y.b))) 7. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 98886/9091875. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 98887/9092154. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 98888/9092181. ------ 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. ------ 98889/9092487. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (b (((^z.z)(a a)) b)) 6. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 7. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 98890/9092631. ------ 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)(^x.x)) b) a) REDUCED to normal form. ------ 98891/9092757. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.b) c)) 3. ==[ beta ]==> (((a b)(a b))((^y.b) c)) 4. ==[ alpha ]==> (((a b)(a b))((^x.b) c)) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 98892/9092874. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c (^z.b))) 3. ==[ beta ]==> (((a a)(^y.a))(c (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.a))(c (^y.b))) REDUCED to normal form. ------ 98893/9092901. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.(a a)))) REDUCED to normal form. ------ 98894/9092946. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 98895/9093405. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (b ((^x1.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 98896/9093549. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (^x1.b))) REDUCED to normal form. ------ 98897/9093621. ------ 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.(^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. ------ 98898/9093630. ------ 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. ------ 98899/9093657. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 98900/9093702. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.(^z1.z1)))) 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. ------ 98901/9093711. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.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. ------ 98902/9093738. ------ 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.(^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. ------ 98903/9093765. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a b)) REDUCED to normal form. ------ 98904/9093810. ------ 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) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98905/9093837. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.x))((^z.z) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) c)) 5. ==[ beta ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 98906/9093936. ------ 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. ------ 98907/9093963. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (a b))) 3. ==[ beta ]==> (((^y.y)(a b))(a (a b))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (a b))) 5. ==[ beta ]==> ((a b)(a (a b))) REDUCED to normal form. ------ 98908/9093990. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a) a)(a a))) REDUCED to normal form. ------ 98909/9094017. ------ 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)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((a b)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a b)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 98910/9094044. ------ 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. ------ 98911/9094071. ------ 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. ------ 98912/9094116. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 98913/9094125. ------ 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. ------ 98914/9094161. ------ 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. ------ 98915/9094188. ------ 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))(^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. ------ 98916/9094323. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 98917/9094440. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^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. ------ 98918/9094467. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)(^z.a))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 98919/9094485. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 98920/9094512. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) 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. ------ 98921/9094602. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b (^b.(^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. ------ 98922/9094629. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.a))) REDUCED to normal form. ------ 98923/9094647. ------ 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 (((^y.y)(^z.z))(^x1.x1))) 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. ------ 98924/9094656. ------ 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))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 98925/9094683. ------ 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 (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 98926/9094710. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 98927/9094755. ------ 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.(^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. ------ 98928/9094764. ------ 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)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 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. ------ 98929/9094791. ------ 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. ------ 98930/9094881. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b (a (a a)))) 3. ==[ beta ]==> ((a (b a))(b (a (a a)))) REDUCED to normal form. ------ 98931/9094908. ------ 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. ------ 98932/9094935. ------ 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. ------ 98933/9094962. ------ 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. ------ 98934/9094989. ------ 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) a))) 3. ==[ beta ]==> (((a b)((a a) a))((a (^x.x)) a)) REDUCED to normal form. ------ 98935/9095016. ------ 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)(^y.y))((a a)(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 98936/9095187. ------ 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. ------ 98937/9095322. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^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. ------ 98938/9095430. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98939/9095466. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 98940/9095493. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 98941/9095538. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^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. ------ 98942/9095547. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c (^z.z))) REDUCED to normal form. ------ 98943/9095574. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 98944/9095592. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y) c)) 3. ==[ beta ]==> (((b a)(b a))((^y.y) c)) 4. ==[ alpha ]==> (((b a)(b a))((^x.x) c)) 5. ==[ beta ]==> (((b a)(b a)) c) REDUCED to normal form. ------ 98945/9095655. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 98946/9095673. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y)) a)) 3. ==[ beta ]==> (b ((a (^y.y)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 98947/9095682. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 98948/9095736. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.x1))) REDUCED to normal form. ------ 98949/9095781. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 98950/9095790. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a a)) REDUCED to normal form. ------ 98951/9095817. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) 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 (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 98952/9095844. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 98953/9097242. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.((^z.z) y))) 3. ==[ eta ]==> ((^x.((x x) x))(^z.z)) 4. ==[ alpha ]==> ((^x.((x x) x))(^y.y)) 5. ==[ beta ]==> (((^y.y)(^y.y))(^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. ------ 98954/9097575. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 98955/9101535. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 98956/9102534. ------ 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 a))((^z.(a (a a)))(^x1.(a (a a))))) 6. ==[ alpha ]==> ((a (a a))((^x.(a (a a)))(^y.(a (a a))))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 98957/9103308. ------ 1. ==[ start ]==> ((^a.b)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 98958/9103578. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ eta ]==> ((^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. ------ 98959/9103848. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))(((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.(^z1.z1))(^x2.(^y2.y2)))((^z2.(^x3.x3))(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((^y.y)(((^y1.(^z1.z1))(^x2.(^y2.y2)))((^z2.(^x3.x3))(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 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. ------ 98960/9103968. ------ 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. ------ 98961/9104073. ------ 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. ------ 98962/9104631. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((((^y.y)((^z.z) b))((^y.y)((^z.z) b)))((^y.y)((^z.z) b))) 4. ==[ alpha ]==> ((((^x.x)((^y.y) b))((^z.z)((^x1.x1) b)))((^y1.y1)((^z1.z1) b))) 5. ==[ beta ]==> ((((^y.y) b)((^z.z)((^x1.x1) b)))((^y1.y1)((^z1.z1) b))) 6. ==[ alpha ]==> ((((^x.x) b)((^y.y)((^z.z) b)))((^x1.x1)((^y1.y1) b))) 7. ==[ beta ]==> ((b ((^y.y)((^z.z) b)))((^x1.x1)((^y1.y1) b))) 8. ==[ alpha ]==> ((b ((^x.x)((^y.y) b)))((^z.z)((^x1.x1) b))) 9. ==[ beta ]==> ((b ((^y.y) b))((^z.z)((^x1.x1) b))) 10. ==[ alpha ]==> ((b ((^x.x) b))((^y.y)((^z.z) b))) 11. ==[ beta ]==> ((b b)((^y.y)((^z.z) b))) 12. ==[ alpha ]==> ((b b)((^x.x)((^y.y) b))) 13. ==[ beta ]==> ((b b)((^y.y) b)) 14. ==[ alpha ]==> ((b b)((^x.x) b)) 15. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 98963/9104634. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.((^y.y) x))) 3. ==[ eta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 98964/9104964. ------ 1. ==[ start ]==> ((^a.(^a.b))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.b))(a ((^z.z) b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 98965/9104967. ------ 1. ==[ start ]==> ((a (^a.b))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (^x.b))(^y.b)) REDUCED to normal form. ------ 98966/9105579. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 98967/9106413. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((^z.(^x1.x1))((a a)(^y1.y1)))((^z.(^x1.x1))((a a)(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((a a)(^x1.x1))))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1)))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^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. ------ 98968/9107169. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(a b))) 3. ==[ eta ]==> (b ((^y.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 98969/9107478. ------ 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 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))) REDUCED to normal form. ------ 98970/9107928. ------ 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.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)))) 5. ==[ beta ]==> (((a a) a)(^y.((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 98971/9108342. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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)) REDUCED to normal form. ------ 98972/9108540. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.b))) REDUCED to normal form. ------ 98973/9108738. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.y))) 5. ==[ beta ]==> ((a b)(^y.(^z.y))) 6. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 98974/9108924. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (^z.b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 98975/9108927. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.b))) 3. ==[ beta ]==> ((a b)(^y.(^z.b))) 4. ==[ alpha ]==> ((a b)(^x.(^y.b))) REDUCED to normal form. ------ 98976/9109260. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.((z z) z))) 3. ==[ beta ]==> (((^y.y) b)(^z.((z z) z))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((y y) y))) 5. ==[ beta ]==> (b (^y.((y y) y))) 6. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 98977/9109683. ------ 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. ------ 98978/9109818. ------ 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. ------ 98979/9109923. ------ 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. ------ 98980/9109926. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(a (a a)))) REDUCED to normal form. ------ 98981/9110313. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z) b))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 98982/9110367. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 98983/9110430. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 98984/9110448. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.c)) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 98985/9110565. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.y1))) REDUCED to normal form. ------ 98986/9110592. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 98987/9110619. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 98988/9110667. ------ 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. ------ 98989/9110694. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) 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. ------ 98990/9110703. ------ 1. ==[ start ]==> ((a b)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.x)(a (^y.y)))) 3. ==[ beta ]==> ((a b)(a (^y.y))) 4. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 98991/9110721. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 98992/9110748. ------ 1. ==[ start ]==> (((^a.a) b)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 98993/9110775. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(^a.a))(^b.(^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. ------ 98994/9110802. ------ 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. ------ 98995/9110829. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.b))) REDUCED to normal form. ------ 98996/9110856. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 98997/9110919. ------ 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. ------ 98998/9110937. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 98999/9110946. ------ 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 (^x.x))(a a)) a) REDUCED to normal form. ------ 99000/9110973. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x) 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))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 99001/9111018. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(a a)) a)) REDUCED to normal form. ------ 99002/9111045. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) b) b)) 3. ==[ beta ]==> ((a a)(((^y.y) b) b)) 4. ==[ alpha ]==> ((a a)(((^x.x) b) b)) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 99003/9111072. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z))) c)) REDUCED to normal form. ------ 99004/9111162. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 99005/9111189. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 99006/9111243. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 99007/9111333. ------ 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)(^y.y))(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. ------ 99008/9111360. ------ 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. ------ 99009/9111387. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^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. ------ 99010/9111396. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 99011/9111441. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(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. ------ 99012/9111468. ------ 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. ------ 99013/9111603. ------ 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. ------ 99014/9111630. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^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. ------ 99015/9111684. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 99016/9111720. ------ 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. ------ 99017/9111747. ------ 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.(^z1.z1)))) REDUCED to normal form. ------ 99018/9111774. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a)(^z.a))) REDUCED to normal form. ------ 99019/9111801. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 99020/9111828. ------ 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)(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. ------ 99021/9111855. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.a))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.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. ------ 99022/9111918. ------ 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))((^x1.x1)(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. ------ 99023/9111945. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 99024/9111972. ------ 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. ------ 99025/9111999. ------ 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. ------ 99026/9112026. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^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. ------ 99027/9112359. ------ 1. ==[ start ]==> ((a (^a.b))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.b))(a ((^y.y) b))) 3. ==[ beta ]==> ((a (^x.b))(a b)) REDUCED to normal form. ------ 99028/9112548. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 99029/9112629. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(b a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(b a))) IRREDUCIBLE: cycle. ------ 99030/9112692. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 99031/9112719. ------ 1. ==[ start ]==> (((a b) a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 99032/9112746. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 99033/9112800. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 99034/9112854. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 99035/9112881. ------ 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. ------ 99036/9112908. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 99037/9112944. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^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. ------ 99038/9112971. ------ 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 (^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. ------ 99039/9112998. ------ 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.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 99040/9113079. ------ 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.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 99041/9113106. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 99042/9113223. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c ((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(c ((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(c ((a a)(^y.y)))) 7. ==[ beta ]==> (c ((a a)(^y.y))) 8. ==[ alpha ]==> (c ((a a)(^x.x))) REDUCED to normal form. ------ 99043/9113304. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 99044/9113358. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))((^x1.x1) 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))) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 99045/9113385. ------ 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. ------ 99046/9113439. ------ 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)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((a a) a))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a) a))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 11. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 12. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 13. ==[ beta ]==> ((^y.y)((a a) a)) 14. ==[ alpha ]==> ((^x.x)((a a) a)) 15. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 99047/9113520. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 99048/9113619. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 99049/9113646. ------ 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.z) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 99050/9113673. ------ 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. ------ 99051/9113727. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 99052/9113745. ------ 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. ------ 99053/9113754. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a b)(a b))) REDUCED to normal form. ------ 99054/9113781. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 99055/9113808. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 99056/9114087. ------ 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. ------ 99057/9114141. ------ 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.y))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 99058/9114177. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a)) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99059/9114222. ------ 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. ------ 99060/9114348. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 99061/9114429. ------ 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 a) REDUCED to normal form. ------ 99062/9114456. ------ 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. ------ 99063/9114483. ------ 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. ------ 99064/9114510. ------ 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. ------ 99065/9114537. ------ 1. ==[ start ]==> ((((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) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 99066/9114564. ------ 1. ==[ start ]==> ((a (b a))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(a b))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 99067/9114843. ------ 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. ------ 99068/9114870. ------ 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 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. ------ 99069/9114906. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(a a)) b)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(a a)) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a)) b)) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 99070/9114924. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a b)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a b))((a b)(a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))((a b)(a (^x.x)))) REDUCED to normal form. ------ 99071/9114933. ------ 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. ------ 99072/9115005. ------ 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. ------ 99073/9115131. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(a a))(a a))) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 99074/9115158. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 99075/9115212. ------ 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. ------ 99076/9115239. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 8. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 12. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 13. ==[ beta ]==> (((a a) a)(^y.y)) 14. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 99077/9115266. ------ 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)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)((a a) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 99078/9115293. ------ 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. ------ 99079/9115320. ------ 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.x1)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^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. ------ 99080/9115347. ------ 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 a))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 99081/9115491. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c ((a a) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c ((a a) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c ((a a) a))) 5. ==[ beta ]==> ((a a)(c ((a a) a))) REDUCED to normal form. ------ 99082/9115572. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 99083/9115680. ------ 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)(^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. ------ 99084/9115707. ------ 1. ==[ start ]==> (((^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))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 99085/9115734. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 99086/9115797. ------ 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. ------ 99087/9115824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(^a.a))(^b.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. ------ 99088/9115878. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 99089/9115932. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(^z.b))) REDUCED to normal form. ------ 99090/9115986. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a) a) b)) REDUCED to normal form. ------ 99091/9116022. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(^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. ------ 99092/9116049. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 99093/9116076. ------ 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.(^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. ------ 99094/9116130. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.b))) 7. ==[ beta ]==> ((a b)(^y.b)) 8. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 99095/9116292. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b (^z.a))) REDUCED to normal form. ------ 99096/9116319. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.b))) 3. ==[ beta ]==> ((a b)(a (^y.b))) 4. ==[ alpha ]==> ((a b)(a (^x.b))) REDUCED to normal form. ------ 99097/9116652. ------ 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. ------ 99098/9116661. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.a) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a) a)) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 99099/9116679. ------ 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. ------ 99100/9116688. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) 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. ------ 99101/9116733. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a ((^z.z) a))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 99102/9116823. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 99103/9116850. ------ 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.(^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. ------ 99104/9116877. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.a))) REDUCED to normal form. ------ 99105/9116931. ------ 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.(^z1.z1)))) REDUCED to normal form. ------ 99106/9116958. ------ 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. ------ 99107/9116994. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a))(^a.(^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. ------ 99108/9117021. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.a)(^b.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. ------ 99109/9117048. ------ 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)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 99110/9117075. ------ 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. ------ 99111/9117156. ------ 1. ==[ start ]==> (((a b)((a a) a))(c (^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(c (^x.a))) REDUCED to normal form. ------ 99112/9117183. ------ 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 x1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (^z.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))(b (^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 99113/9117210. ------ 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. ------ 99114/9117264. ------ 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) REDUCED to normal form. ------ 99115/9117291. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^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. ------ 99116/9117318. ------ 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. ------ 99117/9117489. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((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. ------ 99118/9117597. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.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. ------ 99119/9117633. ------ 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)) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 99120/9117660. ------ 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. ------ 99121/9117678. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(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. ------ 99122/9117705. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(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. ------ 99123/9117714. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 99124/9117741. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1)) b)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 99125/9117759. ------ 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. ------ 99126/9117822. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 99127/9117840. ------ 1. ==[ start ]==> (((^a.b)(a b))(a c)) 2. ==[ alpha ]==> (((^x.b)(a b))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 99128/9117849. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y)) a)) REDUCED to normal form. ------ 99129/9117903. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) 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. ------ 99130/9117948. ------ 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))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99131/9117957. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)(^x1.x1))) REDUCED to normal form. ------ 99132/9117984. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) 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)) REDUCED to normal form. ------ 99133/9118011. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a) 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. ------ 99134/9119751. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 99135/9125466. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> ((((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))) REDUCED to normal form. ------ 99136/9125493. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 99137/9125529. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 99138/9125574. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^z.z))(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 99139/9125691. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 99140/9125763. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(^x1.x1))) 3. ==[ eta ]==> ((^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. ------ 99141/9125802. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.((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. ------ 99142/9126153. ------ 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. ------ 99143/9126162. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((y y)(y y)))) REDUCED to normal form. ------ 99144/9126486. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((^y.y) b))) 3. ==[ beta ]==> (((a (a a)) b)(^x.b)) REDUCED to normal form. ------ 99145/9126816. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)(^y.y))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 99146/9127149. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 99147/9127152. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 99148/9127716. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.a)((a a)(^x1.x1)))((^z.a)((a a)(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((^y.a)((a a)(^z.z)))((^x1.a)((a a)(^y1.y1))))) 5. ==[ beta ]==> (^x.(a ((^x1.a)((a a)(^y1.y1))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)((a a)(^z.z))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 99149/9128637. ------ 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)) REDUCED to normal form. ------ 99150/9128916. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.b)) b) 4. ==[ beta ]==> ((a (^y.b)) b) 5. ==[ alpha ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 99151/9129354. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)(^z.b))) 3. ==[ eta ]==> (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. ------ 99152/9129663. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^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. ------ 99153/9130794. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99154/9131121. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 99155/9131283. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 99156/9131445. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.a))) 5. ==[ beta ]==> (b (^y.(^z.a))) 6. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 99157/9131454. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 99158/9131589. ------ 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))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 99159/9131607. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 99160/9132108. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a)(^y.(y y)))((a a)(^y.(y y))))(((a a)(^y.(y y)))((a a)(^y.(y y))))) 4. ==[ alpha ]==> ((((a a)(^x.(x x)))((a a)(^y.(y y))))(((a a)(^z.(z z)))((a a)(^x1.(x1 x1))))) REDUCED to normal form. ------ 99161/9132498. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 99162/9132507. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 99163/9132633. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.(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)))) REDUCED to normal form. ------ 99164/9132642. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.c)) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.c)) REDUCED to normal form. ------ 99165/9132696. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 99166/9132741. ------ 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))(^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. ------ 99167/9132777. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^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)) REDUCED to normal form. ------ 99168/9132804. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(y y))) REDUCED to normal form. ------ 99169/9132870. ------ 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. ------ 99170/9132897. ------ 1. ==[ start ]==> ((a b)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 99171/9132906. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.b)(a (^a.a)))) 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)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 99172/9132933. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 99173/9132951. ------ 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. ------ 99174/9132978. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 99175/9133014. ------ 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 a) REDUCED to normal form. ------ 99176/9133041. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(a b))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 99177/9133095. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 99178/9133140. ------ 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 (^x.x))(a a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 99179/9133167. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 99180/9133176. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 99181/9133203. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 99182/9133257. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) 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. ------ 99183/9133284. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 99184/9133446. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1)))) 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. ------ 99185/9133509. ------ 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. ------ 99186/9133527. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))(^b.b))) 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. ------ 99187/9133536. ------ 1. ==[ start ]==> (((a (a a)) a)(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) a)(b ((^x.x) b))) 3. ==[ beta ]==> (((a (a a)) a)(b b)) REDUCED to normal form. ------ 99188/9133563. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((a a)(a a)))) REDUCED to normal form. ------ 99189/9133590. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b (a a))) REDUCED to normal form. ------ 99190/9133617. ------ 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 (^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. ------ 99191/9133644. ------ 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. ------ 99192/9133752. ------ 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. ------ 99193/9133878. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^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. ------ 99194/9133887. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)((^x.x) b))) 3. ==[ beta ]==> (((a (a a)) b)((a a) b)) REDUCED to normal form. ------ 99195/9133932. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^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. ------ 99196/9133959. ------ 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 (^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. ------ 99197/9134085. ------ 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))) 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. ------ 99198/9134112. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(a a))) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(a a))) REDUCED to normal form. ------ 99199/9134193. ------ 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. ------ 99200/9134220. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)(^b.b))) 2. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 99201/9134256. ------ 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)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99202/9134391. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.a))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 99203/9134535. ------ 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. ------ 99204/9134553. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 99205/9134571. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.b) a)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x) a)) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 99206/9134598. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 99207/9134724. ------ 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. ------ 99208/9134904. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 99209/9135012. ------ 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. ------ 99210/9135093. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 99211/9135120. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 99212/9135165. ------ 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.(^z.(^x1.x1))))) REDUCED to normal form. ------ 99213/9135192. ------ 1. ==[ start ]==> ((((^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)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((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)) REDUCED to normal form. ------ 99214/9135219. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((b a) b)) REDUCED to normal form. ------ 99215/9135336. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 99216/9135363. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 99217/9135417. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.x2)))) 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. ------ 99218/9135507. ------ 1. ==[ start ]==> (((a b) b)((b a)(a a))) REDUCED to normal form. ------ 99219/9135534. ------ 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 (^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)))) REDUCED to normal form. ------ 99220/9135561. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 99221/9135588. ------ 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. ------ 99222/9135642. ------ 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. ------ 99223/9135669. ------ 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. ------ 99224/9135696. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(a (a a))) REDUCED to normal form. ------ 99225/9135714. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 99226/9135723. ------ 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 a)(^x1.x1)))) REDUCED to normal form. ------ 99227/9135750. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a a)(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(b a))) REDUCED to normal form. ------ 99228/9135786. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((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. ------ 99229/9135813. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 99230/9135840. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a 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. ------ 99231/9135867. ------ 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. ------ 99232/9135894. ------ 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. ------ 99233/9135948. ------ 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. ------ 99234/9135975. ------ 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.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(a a)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 99235/9136038. ------ 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. ------ 99236/9136173. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a)(^b.(^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)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 99237/9136254. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 99238/9136290. ------ 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. ------ 99239/9136317. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (b a))) 3. ==[ beta ]==> ((a (^y.b))(a (b a))) 4. ==[ alpha ]==> ((a (^x.b))(a (b a))) REDUCED to normal form. ------ 99240/9136371. ------ 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. ------ 99241/9136398. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a b) a)) REDUCED to normal form. ------ 99242/9136425. ------ 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. ------ 99243/9136452. ------ 1. ==[ start ]==> ((((^a.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.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 10. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 99244/9136479. ------ 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. ------ 99245/9136596. ------ 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. ------ 99246/9136623. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 9. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 10. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 11. ==[ beta ]==> ((a a)(^y.(^z.z))) 12. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 99247/9136650. ------ 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. ------ 99248/9136677. ------ 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. ------ 99249/9136704. ------ 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. ------ 99250/9136758. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> ((a (b a))(a (^y.b))) 4. ==[ alpha ]==> ((a (b a))(a (^x.b))) REDUCED to normal form. ------ 99251/9136848. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 99252/9136929. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 99253/9137037. ------ 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. ------ 99254/9137100. ------ 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))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 99255/9137127. ------ 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. ------ 99256/9137181. ------ 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. ------ 99257/9137208. ------ 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. ------ 99258/9137235. ------ 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)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.a))(a ((a a) a))) REDUCED to normal form. ------ 99259/9137262. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(a b))) REDUCED to normal form. ------ 99260/9137325. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(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. ------ 99261/9137352. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 99262/9137379. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) 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. ------ 99263/9137406. ------ 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. ------ 99264/9137433. ------ 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. ------ 99265/9137487. ------ 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. ------ 99266/9137514. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(a a)))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 99267/9137541. ------ 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)(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 99268/9137685. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.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. ------ 99269/9137883. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.z))) REDUCED to normal form. ------ 99270/9137910. ------ 1. ==[ start ]==> (((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) a))) REDUCED to normal form. ------ 99271/9137928. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b (^z.b))) 3. ==[ beta ]==> ((^y.y)(b (^z.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 99272/9137982. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.b)(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.b)(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.b)(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.b)(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(a a))) 7. ==[ beta ]==> (((a a)(a a))((^y.b)(a a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.b)(a a))) 9. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 99273/9138063. ------ 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. ------ 99274/9138171. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^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. ------ 99275/9138198. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 99276/9138351. ------ 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. ------ 99277/9138378. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a) b)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a) b)) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 99278/9138405. ------ 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. ------ 99279/9138477. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99280/9138522. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 99281/9138684. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.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. ------ 99282/9138792. ------ 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)(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99283/9138801. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (a (a a)))) REDUCED to normal form. ------ 99284/9138828. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((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. ------ 99285/9138846. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)(^c.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. ------ 99286/9138855. ------ 1. ==[ start ]==> (((a a)(^b.b))(a ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 99287/9138882. ------ 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. ------ 99288/9138963. ------ 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 a) REDUCED to normal form. ------ 99289/9138990. ------ 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)))) 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. ------ 99290/9139008. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a (^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a (^y.a))) 3. ==[ beta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 99291/9139116. ------ 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.(^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. ------ 99292/9139188. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (a a)) b)) 3. ==[ beta ]==> (((a a) b)((a (a a)) b)) REDUCED to normal form. ------ 99293/9139296. ------ 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.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) a)) 7. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 8. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 99294/9139323. ------ 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. ------ 99295/9139350. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a) c)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a) c)) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 99296/9139458. ------ 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)(^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. ------ 99297/9139485. ------ 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. ------ 99298/9139512. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a a)(^x.(x x)))) REDUCED to normal form. ------ 99299/9139548. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a))(^a.a))) 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. ------ 99300/9139683. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 99301/9139791. ------ 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 (^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. ------ 99302/9139872. ------ 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)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 99303/9139899. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^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. ------ 99304/9139908. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 99305/9139935. ------ 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))) REDUCED to normal form. ------ 99306/9139953. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 99307/9140016. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b b)) REDUCED to normal form. ------ 99308/9140034. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 99309/9140043. ------ 1. ==[ start ]==> (((a b)(^a.b))(a c)) 2. ==[ alpha ]==> (((a b)(^x.b))(a c)) REDUCED to normal form. ------ 99310/9140097. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a (^x1.x1)))) REDUCED to normal form. ------ 99311/9140142. ------ 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 (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99312/9140151. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b a)) REDUCED to normal form. ------ 99313/9140178. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^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)) REDUCED to normal form. ------ 99314/9140205. ------ 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. ------ 99315/9140240. ------ 1. ==[ start ]==> (^a.((a a)((a a)(a a)))) 2. ==[ alpha ]==> (^x.((x x)((x x)(x x)))) REDUCED to normal form. ------ 99316/9140241. ------ 1. ==[ start ]==> (a ((a a)((a a)(a a)))) REDUCED to normal form. ------ 99317/9145914. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 99318/9147645. ------ 1. ==[ start ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 99319/9147651. ------ 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. ------ 99320/9147741. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 99321/9147903. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^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 ]==> (^x.((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (^x.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 99322/9148023. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((a a)(a a)))) REDUCED to normal form. ------ 99323/9148374. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 99324/9148596. ------ 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.z1)(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. ------ 99325/9149382. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.((^y.y) b))) 3. ==[ beta ]==> (((a a)((a a) a))(^x.b)) REDUCED to normal form. ------ 99326/9149541. ------ 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. ------ 99327/9149697. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 99328/9149928. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((((^z.z) a)(^x1.(^y1.y1)))(((^z.z) a)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.((a (^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^x.((a (^y.(^z.z)))(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 99329/9150849. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^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. ------ 99330/9151380. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 99331/9153006. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99332/9153162. ------ 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. ------ 99333/9153321. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 99334/9153324. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.((a a) a))) 3. ==[ beta ]==> ((a b)(^y.((a a) a))) 4. ==[ alpha ]==> ((a b)(^x.((a a) a))) REDUCED to normal form. ------ 99335/9153495. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(^c.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. ------ 99336/9153666. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 99337/9153828. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 99338/9153963. ------ 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. ------ 99339/9154107. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)(^x.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 99340/9154638. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.((^z.z) a))) 3. ==[ beta ]==> ((b b)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((b b)(^x.((^y.y) a))) 5. ==[ beta ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 99341/9154710. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^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. ------ 99342/9154719. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.a))) REDUCED to normal form. ------ 99343/9154845. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 99344/9154854. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 99345/9154908. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 99346/9154953. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.y1)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99347/9154962. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 99348/9154989. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.(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))) REDUCED to normal form. ------ 99349/9155016. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 99350/9155052. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.a)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 99351/9155064. ------ 1. ==[ start ]==> ((a a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 99352/9155100. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((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. ------ 99353/9155127. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 99354/9155136. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 99355/9155154. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.a))) REDUCED to normal form. ------ 99356/9155163. ------ 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 ]==> (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. ------ 99357/9155208. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(^a.a))(^b.(^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) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99358/9155217. ------ 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. ------ 99359/9155244. ------ 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 a)) REDUCED to normal form. ------ 99360/9155262. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.b))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.b))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.b))) REDUCED to normal form. ------ 99361/9155271. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 99362/9155289. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 99363/9155316. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 99364/9155352. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 99365/9155397. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 99366/9155433. ------ 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 (^x.x)) b)((a a)(a a))) REDUCED to normal form. ------ 99367/9155478. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) b) b)) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b) b)) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b) b)) 5. ==[ beta ]==> (a (((^y.y) b) b)) 6. ==[ alpha ]==> (a (((^x.x) b) b)) 7. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 99368/9155487. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 99369/9155514. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^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. ------ 99370/9155730. ------ 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. ------ 99371/9155757. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 99372/9155901. ------ 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. ------ 99373/9155928. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.z))) 8. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 99374/9155955. ------ 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. ------ 99375/9155982. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a) a)(a b))) REDUCED to normal form. ------ 99376/9156009. ------ 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.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(a a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 99377/9156108. ------ 1. ==[ start ]==> (((a (a a)) b)(b (^b.b))) 2. ==[ alpha ]==> (((a (a a)) b)(b (^x.x))) REDUCED to normal form. ------ 99378/9156153. ------ 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. ------ 99379/9156162. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 99380/9156180. ------ 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.(^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. ------ 99381/9156189. ------ 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 (^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. ------ 99382/9156234. ------ 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)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 99383/9156270. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1)(^y1.y1)))) 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. ------ 99384/9156477. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) a)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 99385/9156531. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b a) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((b a) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b a) c)) 5. ==[ beta ]==> (a ((b a) c)) REDUCED to normal form. ------ 99386/9156567. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 99387/9156594. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 99388/9156648. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 99389/9156675. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 99390/9156702. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 99391/9156756. ------ 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. ------ 99392/9156792. ------ 1. ==[ start ]==> (((a a)((a a) a))(a ((^a.a) 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. ------ 99393/9156819. ------ 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 (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 99394/9156846. ------ 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. ------ 99395/9156873. ------ 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. ------ 99396/9156900. ------ 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. ------ 99397/9156927. ------ 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. ------ 99398/9156954. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 99399/9157107. ------ 1. ==[ start ]==> ((((a a) a) b)(a (^b.b))) 2. ==[ alpha ]==> ((((a a) a) b)(a (^x.x))) REDUCED to normal form. ------ 99400/9157125. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 99401/9157134. ------ 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. ------ 99402/9157152. ------ 1. ==[ start ]==> (((^a.a)(a b))((b a)(^a.(^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. ------ 99403/9157179. ------ 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 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)) REDUCED to normal form. ------ 99404/9157215. ------ 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. ------ 99405/9157233. ------ 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. ------ 99406/9157242. ------ 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. ------ 99407/9157269. ------ 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. ------ 99408/9157296. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 99409/9157314. ------ 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. ------ 99410/9157323. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a b)(^x.x))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a b)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 99411/9157341. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 99412/9157512. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) 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)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 99413/9157719. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 99414/9157944. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 99415/9158160. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^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. ------ 99416/9158403. ------ 1. ==[ start ]==> (((a b) c)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 99417/9158430. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a))(^c.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. ------ 99418/9158457. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.b)(^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(^z.b))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 99419/9158511. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^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. ------ 99420/9158736. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (a b))) REDUCED to normal form. ------ 99421/9158763. ------ 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.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 (^y.y))(a a))) REDUCED to normal form. ------ 99422/9158790. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 99423/9159069. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a)(^z.z)) a)) 5. ==[ beta ]==> (b (((a a)(^z.z)) a)) 6. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 99424/9159213. ------ 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)(^x.x)) b)((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 99425/9159339. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(a a)) b)) 3. ==[ beta ]==> (((a b)(a b))((^y.(a a)) b)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(a a)) b)) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 99426/9159807. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.b)(^a.(^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. ------ 99427/9159987. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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 a)) REDUCED to normal form. ------ 99428/9160203. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a b)(^z.z))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a b)(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a b)(^z.z))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a b)(^z.z))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)(^y.y))) 7. ==[ beta ]==> (((a a)(a a))((a b)(^y.y))) 8. ==[ alpha ]==> (((a a)(a a))((a b)(^x.x))) REDUCED to normal form. ------ 99429/9160212. ------ 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. ------ 99430/9160239. ------ 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. ------ 99431/9160284. ------ 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. ------ 99432/9160293. ------ 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. ------ 99433/9160320. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 99434/9160347. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^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. ------ 99435/9160392. ------ 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. ------ 99436/9160401. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 99437/9160419. ------ 1. ==[ start ]==> ((a (^b.b))(((a a) a) b)) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a) b)) REDUCED to normal form. ------ 99438/9160545. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y)(a b))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a b))(b ((a a) a))) 5. ==[ beta ]==> ((a b)(b ((a a) a))) REDUCED to normal form. ------ 99439/9160572. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a (a b))) REDUCED to normal form. ------ 99440/9160599. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^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))) REDUCED to normal form. ------ 99441/9160626. ------ 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. ------ 99442/9160653. ------ 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. ------ 99443/9160698. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99444/9160707. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 99445/9160734. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)((a a) a))) 3. ==[ beta ]==> ((a b)((a a)((a a) a))) REDUCED to normal form. ------ 99446/9160770. ------ 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. ------ 99447/9160905. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 99448/9161022. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.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. ------ 99449/9161049. ------ 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)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 99450/9161076. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 99451/9161184. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(c (^z.(z z)))) 6. ==[ alpha ]==> ((^x.(a a))(c (^y.(y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 99452/9161211. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 99453/9161238. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 99454/9161265. ------ 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)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 99455/9161292. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 99456/9161337. ------ 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 (^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. ------ 99457/9161346. ------ 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.(^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. ------ 99458/9161373. ------ 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. ------ 99459/9161463. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c ((^y.y) a))) 3. ==[ beta ]==> ((a (b a))(c ((^y.y) a))) 4. ==[ alpha ]==> ((a (b a))(c ((^x.x) a))) 5. ==[ beta ]==> ((a (b a))(c a)) REDUCED to normal form. ------ 99460/9161490. ------ 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. ------ 99461/9161517. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(a ((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 9. ==[ beta ]==> ((a a)(a (^y.y))) 10. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 99462/9161544. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (a a))(a a))) REDUCED to normal form. ------ 99463/9161571. ------ 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. ------ 99464/9161598. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 99465/9161625. ------ 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. ------ 99466/9161706. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c c)) 3. ==[ beta ]==> ((b (a a))(c c)) REDUCED to normal form. ------ 99467/9161769. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 99468/9161904. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.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. ------ 99469/9162012. ------ 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))(^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. ------ 99470/9162048. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 99471/9162075. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 99472/9162093. ------ 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. ------ 99473/9162120. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((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. ------ 99474/9162129. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 99475/9162174. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y)) b)) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 99476/9162237. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^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. ------ 99477/9162255. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 99478/9162264. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.b))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 99479/9162318. ------ 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)(^y1.(^z1.z1)))) 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. ------ 99480/9162363. ------ 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. ------ 99481/9162372. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 99482/9162399. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^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 (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 99483/9162426. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a)(^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. ------ 99484/9162462. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(a a)) REDUCED to normal form. ------ 99485/9162470. ------ 1. ==[ start ]==> (^a.(b (^c.(a a)))) 2. ==[ alpha ]==> (^x.(b (^y.(x x)))) REDUCED to normal form. ------ 99486/9162471. ------ 1. ==[ start ]==> (a (b (^c.(a a)))) 2. ==[ alpha ]==> (a (b (^x.(a a)))) REDUCED to normal form. ------ 99487/9169875. ------ 1. ==[ start ]==> (((a a)((a a)(a a))) b) REDUCED to normal form. ------ 99488/9169890. ------ 1. ==[ start ]==> ((^a.a)(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 3. ==[ beta ]==> (b (^y.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 99489/9169899. ------ 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) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99490/9169944. ------ 1. ==[ start ]==> ((^a.b)((^c.(a a))(a a))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 99491/9170214. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ eta ]==> ((^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. ------ 99492/9170262. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(a a)))) REDUCED to normal form. ------ 99493/9170631. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^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. ------ 99494/9170709. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 99495/9171267. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((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)))))((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.(^y2.y2)))))((^z2.(^x3.x3))(a (^y3.(^z3.z3))))) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))(a (^x2.(^y2.y2)))))((^z2.(^x3.x3))(a (^y3.(^z3.z3))))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1)))))((^z1.(^x2.x2))(a (^y2.(^z2.z2))))) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.(^y1.y1))))((^z1.(^x2.x2))(a (^y2.(^z2.z2))))) 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. ------ 99496/9171600. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 99497/9171621. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 99498/9172242. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 99499/9172374. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.b)(^x1.(^y1.y1)))((^z.b)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.b)(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 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. ------ 99500/9172548. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 99501/9172836. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 99502/9173049. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^z.a)((^x1.x1)(a a)))((^z.a)((^x1.x1)(a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)((^y.y)(a a)))((^z.a)((^x1.x1)(a a))))(^y1.y1)) 5. ==[ beta ]==> ((a ((^z.a)((^x1.x1)(a a))))(^y1.y1)) 6. ==[ alpha ]==> ((a ((^x.a)((^y.y)(a a))))(^z.z)) 7. ==[ beta ]==> ((a a)(^z.z)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 99503/9173385. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(b y))) 3. ==[ eta ]==> (((^x.(x x))((a a) a)) b) 4. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 99504/9173805. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))((a a) a))) 3. ==[ eta ]==> (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. ------ 99505/9174354. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 99506/9174375. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 99507/9174591. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(a a))) REDUCED to normal form. ------ 99508/9174642. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.b)(^a.(^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. ------ 99509/9174816. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (b (^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 99510/9175401. ------ 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. ------ 99511/9175560. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b (^z.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 99512/9175572. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 99513/9175923. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.((y1 y1) y1))) 3. ==[ beta ]==> ((^y.y)(^y1.((y1 y1) y1))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 99514/9176058. ------ 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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 99515/9176202. ------ 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. ------ 99516/9176346. ------ 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.(^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. ------ 99517/9176559. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^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. ------ 99518/9176877. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.a))) 3. ==[ beta ]==> ((b b)(^y.(^z.a))) 4. ==[ alpha ]==> ((b b)(^x.(^y.a))) REDUCED to normal form. ------ 99519/9176958. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 99520/9177093. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 99521/9177147. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 99522/9177201. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 99523/9177228. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) 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))) REDUCED to normal form. ------ 99524/9177291. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 99525/9177312. ------ 1. ==[ start ]==> ((a a)(b (^c.(a a)))) 2. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 99526/9177321. ------ 1. ==[ start ]==> ((a (^a.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)((a a)(a a)))) REDUCED to normal form. ------ 99527/9177357. ------ 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. ------ 99528/9177366. ------ 1. ==[ start ]==> ((a b)((^c.(a a))(a a))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(a a))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 99529/9177384. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 99530/9177411. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.(^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))) REDUCED to normal form. ------ 99531/9177420. ------ 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. ------ 99532/9177438. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 99533/9177465. ------ 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. ------ 99534/9177519. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.b))) REDUCED to normal form. ------ 99535/9177546. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 99536/9177582. ------ 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. ------ 99537/9177609. ------ 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 (^x.x))(a a))((b a)(b a))) REDUCED to normal form. ------ 99538/9177636. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) 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))))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 99539/9177681. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.(a a)))) REDUCED to normal form. ------ 99540/9177708. ------ 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. ------ 99541/9177735. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) b) b)) 3. ==[ beta ]==> (((a a)(^x.a))(b b)) REDUCED to normal form. ------ 99542/9177852. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 99543/9177879. ------ 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. ------ 99544/9178023. ------ 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. ------ 99545/9178050. ------ 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)(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. ------ 99546/9178059. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 99547/9178086. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^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. ------ 99548/9178104. ------ 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 (^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. ------ 99549/9178131. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 99550/9178266. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99551/9178293. ------ 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. ------ 99552/9178347. ------ 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 (^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. ------ 99553/9178410. ------ 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. ------ 99554/9178437. ------ 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.(^z1.z1)))) REDUCED to normal form. ------ 99555/9178464. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b a)(^z.a))) 3. ==[ beta ]==> ((a (^y.a))((b a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.a))((b a)(^y.a))) REDUCED to normal form. ------ 99556/9178491. ------ 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.(x1 x1)))) REDUCED to normal form. ------ 99557/9178518. ------ 1. ==[ start ]==> ((((^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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(^y1.y1)))) 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. ------ 99558/9178554. ------ 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)(^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. ------ 99559/9178608. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 99560/9178635. ------ 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. ------ 99561/9178662. ------ 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. ------ 99562/9178689. ------ 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))))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 99563/9179022. ------ 1. ==[ start ]==> ((a (^a.b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 99564/9179040. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 99565/9179211. ------ 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. ------ 99566/9179292. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)((a a)(^x1.x1)))) IRREDUCIBLE: cycle. ------ 99567/9179382. ------ 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. ------ 99568/9179409. ------ 1. ==[ start ]==> (((a a)(^a.b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 99569/9179463. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a 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. ------ 99570/9179490. ------ 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. ------ 99571/9179517. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(((a a) a)(^z.a))) 6. ==[ alpha ]==> ((^x.a)(((a a) a)(^y.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 99572/9179544. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^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. ------ 99573/9179571. ------ 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. ------ 99574/9179607. ------ 1. ==[ start ]==> (((a a)(a b))((^b.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. ------ 99575/9179634. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^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. ------ 99576/9179661. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 99577/9179688. ------ 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. ------ 99578/9179769. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 99579/9179796. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 99580/9179967. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 99581/9179976. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 99582/9180021. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^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)))) REDUCED to normal form. ------ 99583/9180030. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 99584/9180048. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 99585/9180102. ------ 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)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 11. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 12. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 13. ==[ beta ]==> (((a a) a)(^y.y)) 14. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 99586/9180183. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1)(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. ------ 99587/9180255. ------ 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))))) 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. ------ 99588/9180336. ------ 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. ------ 99589/9180363. ------ 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. ------ 99590/9180408. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 99591/9180417. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^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. ------ 99592/9180444. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a b))) 5. ==[ beta ]==> (((a a)(a a))((a b)(a b))) REDUCED to normal form. ------ 99593/9180471. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 99594/9180804. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(a (b a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (b a))) REDUCED to normal form. ------ 99595/9180840. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.(^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. ------ 99596/9180867. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(a a)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 99597/9180885. ------ 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 ((a b)((^z.z) a))) 4. ==[ alpha ]==> (b ((a b)((^x.x) a))) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 99598/9181038. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(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. ------ 99599/9181119. ------ 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. ------ 99600/9181146. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a b) a)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (((a b) a)((^x.b)((^y.y) a))) 5. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 99601/9181200. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 99602/9181227. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))((a a) a))) 3. ==[ beta ]==> ((a (b a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 99603/9181506. ------ 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. ------ 99604/9181533. ------ 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.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))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 99605/9181569. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 99606/9181587. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(a a))(a a))) 5. ==[ beta ]==> (((a b)(a b))((a a)(a a))) REDUCED to normal form. ------ 99607/9181596. ------ 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. ------ 99608/9181650. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a) d)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 99609/9181668. ------ 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. ------ 99610/9181776. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 99611/9181794. ------ 1. ==[ start ]==> (((a a)(b a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 99612/9181821. ------ 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 a))(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 99613/9181848. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.b)(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(a (^y.y)))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 99614/9181875. ------ 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. ------ 99615/9181902. ------ 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. ------ 99616/9181929. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.z))) 11. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 12. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 99617/9181956. ------ 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. ------ 99618/9181983. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 99619/9182010. ------ 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.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 99620/9182055. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 99621/9182064. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.b)(^a.(^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. ------ 99622/9182235. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 99623/9182343. ------ 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. ------ 99624/9182370. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^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. ------ 99625/9182397. ------ 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 (^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. ------ 99626/9182460. ------ 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. ------ 99627/9182487. ------ 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.(^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. ------ 99628/9182541. ------ 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. ------ 99629/9182568. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 99630/9182595. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 99631/9182649. ------ 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. ------ 99632/9182712. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^a.a))(^b.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. ------ 99633/9182739. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 99634/9182766. ------ 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. ------ 99635/9182793. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^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. ------ 99636/9182820. ------ 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. ------ 99637/9182982. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.a))) 3. ==[ beta ]==> ((a b)(b (^y.a))) 4. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 99638/9182991. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((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. ------ 99639/9183315. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (b ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (b ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (b (^y.y))) 8. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 99640/9183342. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(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. ------ 99641/9183396. ------ 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. ------ 99642/9183477. ------ 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)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 99643/9183513. ------ 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))(^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. ------ 99644/9183540. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 99645/9183594. ------ 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 (^y1.y1))(^z1.(z1 z1)))) REDUCED to normal form. ------ 99646/9183621. ------ 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. ------ 99647/9183657. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(^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. ------ 99648/9183684. ------ 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 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. ------ 99649/9183711. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.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. ------ 99650/9183738. ------ 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. ------ 99651/9183765. ------ 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.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.(^y1.y1)))) 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)))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 99652/9183873. ------ 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. ------ 99653/9183927. ------ 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))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a)(a a))) REDUCED to normal form. ------ 99654/9183954. ------ 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) REDUCED to normal form. ------ 99655/9183981. ------ 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)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 99656/9184152. ------ 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. ------ 99657/9184260. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(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. ------ 99658/9184296. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a)(^y.a))) 3. ==[ beta ]==> ((b b)((a a)(^y.a))) 4. ==[ alpha ]==> ((b b)((a a)(^x.a))) REDUCED to normal form. ------ 99659/9184323. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x) a) a)) 3. ==[ beta ]==> ((((a a)(a a)) a)(a a)) REDUCED to normal form. ------ 99660/9184368. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(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. ------ 99661/9184377. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a) c)) REDUCED to normal form. ------ 99662/9184404. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a) a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a) a)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 99663/9184422. ------ 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))) REDUCED to normal form. ------ 99664/9184485. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 99665/9184503. ------ 1. ==[ start ]==> (((^a.b)(a b))(b b)) 2. ==[ alpha ]==> (((^x.b)(a b))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 99666/9184512. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 99667/9184566. ------ 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. ------ 99668/9184611. ------ 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. ------ 99669/9184620. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) b) REDUCED to normal form. ------ 99670/9184647. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) 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))) REDUCED to normal form. ------ 99671/9184674. ------ 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. ------ 99672/9184710. ------ 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. ------ 99673/9192165. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99674/9192210. ------ 1. ==[ start ]==> ((^a.b)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.b)(((a a)(a a))(^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 99675/9192246. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.b)(a (^a.a)))) 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. ------ 99676/9192291. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b a)(^z.(z z)))) 3. ==[ beta ]==> (((b a)(^z.(z z)))(^y.y)) 4. ==[ alpha ]==> (((b a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 99677/9192408. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (^x.((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 99678/9192480. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ eta ]==> ((^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. ------ 99679/9192897. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^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. ------ 99680/9192906. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((z z)(z z)))) REDUCED to normal form. ------ 99681/9193533. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a (^y.y))(^z.(^x1.(^y1.y1))))((a (^y.y))(^z.(^x1.(^y1.y1)))))((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.(^y2.y2)))))((a (^z2.z2))(^x3.(^y3.(^z3.z3))))) REDUCED to normal form. ------ 99682/9193572. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^z1.z1)) 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. ------ 99683/9193866. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 99684/9194202. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 99685/9194220. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 99686/9194433. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(((^z.(z z))((^x1.x1)(a a)))((^z.(z z))((^x1.x1)(a a))))) 4. ==[ alpha ]==> (^x.(((^y.(y y))((^z.z)(a a)))((^x1.(x1 x1))((^y1.y1)(a a))))) 5. ==[ beta ]==> (^x.((((^z.z)(a a))((^z.z)(a a)))((^x1.(x1 x1))((^y1.y1)(a a))))) 6. ==[ alpha ]==> (^x.((((^y.y)(a a))((^z.z)(a a)))((^x1.(x1 x1))((^y1.y1)(a a))))) 7. ==[ beta ]==> (^x.(((a a)((^z.z)(a a)))((^x1.(x1 x1))((^y1.y1)(a a))))) 8. ==[ alpha ]==> (^x.(((a a)((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a))))) 9. ==[ beta ]==> (^x.(((a a)(a a))((^z.(z z))((^x1.x1)(a a))))) 10. ==[ alpha ]==> (^x.(((a a)(a a))((^y.(y y))((^z.z)(a a))))) 11. ==[ beta ]==> (^x.(((a a)(a a))(((^z.z)(a a))((^z.z)(a a))))) 12. ==[ alpha ]==> (^x.(((a a)(a a))(((^y.y)(a a))((^z.z)(a a))))) 13. ==[ beta ]==> (^x.(((a a)(a a))((a a)((^z.z)(a a))))) 14. ==[ alpha ]==> (^x.(((a a)(a a))((a a)((^y.y)(a a))))) 15. ==[ beta ]==> (^x.(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 99687/9194814. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 99688/9194823. ------ 1. ==[ start ]==> (((a b) b)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 99689/9195315. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((((^z.z) a)(^x1.(a a)))(((^z.z) a)(^x1.(a a))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.(a a))))(^y1.y1)) 5. ==[ beta ]==> (((a (^y.(a a)))(((^z.z) a)(^x1.(a a))))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(a a)))(((^y.y) a)(^z.(a a))))(^x1.x1)) 7. ==[ beta ]==> (((a (^x.(a a)))(a (^z.(a a))))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.(a a)))(a (^y.(a a))))(^z.z)) REDUCED to normal form. ------ 99690/9196071. ------ 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. ------ 99691/9196164. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (b (^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 99692/9196416. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 99693/9196620. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 99694/9196908. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a b) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a b) b)) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 99695/9197082. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(^b.(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. ------ 99696/9197298. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.(z z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(y y)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.(y y)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 99697/9197487. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(a 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. ------ 99698/9197511. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99699/9197865. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.b))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 99700/9198189. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 99701/9198198. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.((y1 y1) y1))) REDUCED to normal form. ------ 99702/9198333. ------ 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))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 99703/9198825. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((((a (^y.y))(^z.a))((a (^y.y))(^z.a)))(((a (^y.y))(^z.a))((a (^y.y))(^z.a)))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.a))((a (^z.z))(^x1.a)))(((a (^y1.y1))(^z1.a))((a (^x2.x2))(^y2.a)))) REDUCED to normal form. ------ 99704/9198864. ------ 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))) REDUCED to normal form. ------ 99705/9199251. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 99706/9199467. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(a a))) REDUCED to normal form. ------ 99707/9199521. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.b)) REDUCED to normal form. ------ 99708/9199557. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.a)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.a)) REDUCED to normal form. ------ 99709/9199596. ------ 1. ==[ start ]==> ((a (^a.a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 99710/9199605. ------ 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. ------ 99711/9199641. ------ 1. ==[ start ]==> ((a b)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a b)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 99712/9199677. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.b)(a (^a.a)))) 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. ------ 99713/9199695. ------ 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. ------ 99714/9199722. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 99715/9199785. ------ 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 a)) REDUCED to normal form. ------ 99716/9199812. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 99717/9199839. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 99718/9199911. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)(((^x.x) 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. ------ 99719/9199920. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.a)((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 99720/9199947. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) b))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2) 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. ------ 99721/9200028. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(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))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 99722/9200217. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 99723/9200271. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.(^z1.z1))))) 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. ------ 99724/9200298. ------ 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. ------ 99725/9200307. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b ((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b b)) REDUCED to normal form. ------ 99726/9200334. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((a a)(a a)))) REDUCED to normal form. ------ 99727/9200361. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^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. ------ 99728/9200388. ------ 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. ------ 99729/9200496. ------ 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 b)((a b)((a a) a))) REDUCED to normal form. ------ 99730/9200631. ------ 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. ------ 99731/9200658. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a a)((^a.a) 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. ------ 99732/9200703. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 99733/9200829. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 99734/9200856. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a) a)(^y.b))) REDUCED to normal form. ------ 99735/9200883. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 99736/9200964. ------ 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. ------ 99737/9201000. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1) 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. ------ 99738/9201054. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (a ((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 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. ------ 99739/9201135. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a))(^b.(^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 a)) REDUCED to normal form. ------ 99740/9201162. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 99741/9201216. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 99742/9201297. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 99743/9201342. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^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. ------ 99744/9201369. ------ 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. ------ 99745/9201468. ------ 1. ==[ start ]==> (((^a.b) a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (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. ------ 99746/9201630. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 99747/9201648. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 99748/9201675. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 99749/9201756. ------ 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. ------ 99750/9201837. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 99751/9201864. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 99752/9201882. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) 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. ------ 99753/9201936. ------ 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)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 99754/9201963. ------ 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. ------ 99755/9201990. ------ 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. ------ 99756/9202080. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 99757/9202107. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 99758/9202161. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 9. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 10. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 99759/9202242. ------ 1. ==[ start ]==> (((^a.b)(^a.(^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. ------ 99760/9202251. ------ 1. ==[ start ]==> (((a b) b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 99761/9202278. ------ 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. ------ 99762/9202305. ------ 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 (^z.z)))) REDUCED to normal form. ------ 99763/9202332. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))((a a) a)) REDUCED to normal form. ------ 99764/9202386. ------ 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. ------ 99765/9202413. ------ 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)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((a a) a))) 7. ==[ beta ]==> ((((^y.y)(^z.z))((a a) a))(((^y.y)(^z.z))((a a) a))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))((a a) a))) 9. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))((a a) a))) 10. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))((a a) a))) 11. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((a a) a))) 12. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((a a) a))) 13. ==[ beta ]==> (((a a) a)((^y.y)((a a) a))) 14. ==[ alpha ]==> (((a a) a)((^x.x)((a a) a))) 15. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 99766/9202440. ------ 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. ------ 99767/9202467. ------ 1. ==[ start ]==> (((a b)(^a.(^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. ------ 99768/9202494. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 99769/9202557. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((b a)(^y.y))) REDUCED to normal form. ------ 99770/9202584. ------ 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.(^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. ------ 99771/9202611. ------ 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. ------ 99772/9202638. ------ 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. ------ 99773/9202665. ------ 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.(^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. ------ 99774/9202692. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(^z.a)) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 99775/9202719. ------ 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. ------ 99776/9202746. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 99777/9202782. ------ 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 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. ------ 99778/9202917. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 99779/9202998. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.b)(^z.b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.b))) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 99780/9203025. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a 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. ------ 99781/9203034. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(c (a a))) REDUCED to normal form. ------ 99782/9203061. ------ 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. ------ 99783/9203115. ------ 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)(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99784/9203142. ------ 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. ------ 99785/9203169. ------ 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. ------ 99786/9203196. ------ 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. ------ 99787/9203223. ------ 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))(^y.y))((^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. ------ 99788/9203367. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.y1))) 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)) REDUCED to normal form. ------ 99789/9203394. ------ 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. ------ 99790/9203421. ------ 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. ------ 99791/9203448. ------ 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. ------ 99792/9203475. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^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. ------ 99793/9203502. ------ 1. ==[ start ]==> ((a (b a))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((a (b a))((a (a a))(^x.a))) REDUCED to normal form. ------ 99794/9203592. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (b ((^z.z)((a a)(^x1.x1)))) 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. ------ 99795/9203673. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 99796/9203781. ------ 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. ------ 99797/9203808. ------ 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.(^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. ------ 99798/9203844. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.(a a)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 99799/9203871. ------ 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. ------ 99800/9203925. ------ 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.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 99801/9203952. ------ 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. ------ 99802/9203979. ------ 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. ------ 99803/9204006. ------ 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)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((a a) a))) REDUCED to normal form. ------ 99804/9204051. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.(a a)))) REDUCED to normal form. ------ 99805/9204096. ------ 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 a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 99806/9204123. ------ 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.(^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. ------ 99807/9204150. ------ 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. ------ 99808/9204177. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(y y)))) 9. ==[ beta ]==> (((a a) a)(^y.(y y))) 10. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 99809/9204204. ------ 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. ------ 99810/9204231. ------ 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. ------ 99811/9204258. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(^z.b))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.b))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 99812/9204285. ------ 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.(a a)))) REDUCED to normal form. ------ 99813/9204339. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a b) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b) b)) REDUCED to normal form. ------ 99814/9204348. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.b)(^a.(^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. ------ 99815/9204429. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 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. ------ 99816/9204510. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(^b.(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. ------ 99817/9204627. ------ 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. ------ 99818/9204654. ------ 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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 99819/9204672. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c (^z.a))) 3. ==[ beta ]==> ((^y.y)(c (^z.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 99820/9204726. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a (^z.(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a (^z.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (^z.(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (^z.(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 99821/9204807. ------ 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))((^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. ------ 99822/9204915. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(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. ------ 99823/9204942. ------ 1. ==[ start ]==> ((a (^b.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 99824/9204960. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a) a) b)) REDUCED to normal form. ------ 99825/9204987. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.z) c)) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y) c)) 5. ==[ beta ]==> (((a (^x.x))(b a)) c) REDUCED to normal form. ------ 99826/9205122. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.b) a)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.b) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.b) a)) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 99827/9205176. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 99828/9205221. ------ 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. ------ 99829/9205266. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 99830/9205293. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a (^z1.b))) 3. ==[ beta ]==> ((^y.y)(a (^z1.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 99831/9205428. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^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. ------ 99832/9205536. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(z1 z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99833/9205572. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c (a (a a)))) 3. ==[ beta ]==> ((b a)(c (a (a a)))) REDUCED to normal form. ------ 99834/9205590. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^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. ------ 99835/9205599. ------ 1. ==[ start ]==> (((a a)(^b.b))(b ((^a.a)(^a.a)))) 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. ------ 99836/9205626. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a ((a a) a))) REDUCED to normal form. ------ 99837/9205707. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 99838/9205734. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 99839/9205752. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 99840/9205761. ------ 1. ==[ start ]==> (((a b)(^c.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. ------ 99841/9205860. ------ 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)((^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. ------ 99842/9205932. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^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. ------ 99843/9205959. ------ 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. ------ 99844/9205986. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a) c)) 3. ==[ beta ]==> ((a (b a))(((^y.y) a) c)) 4. ==[ alpha ]==> ((a (b a))(((^x.x) a) c)) 5. ==[ beta ]==> ((a (b a))(a c)) REDUCED to normal form. ------ 99845/9206067. ------ 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. ------ 99846/9206094. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x)) b)) 3. ==[ beta ]==> (((a b)((a a) a))(b b)) REDUCED to normal form. ------ 99847/9206121. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a) c)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a) c)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a) c)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 99848/9206202. ------ 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. ------ 99849/9206229. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a) a)(^a.(^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. ------ 99850/9206256. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 99851/9206292. ------ 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. ------ 99852/9206535. ------ 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. ------ 99853/9206571. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b c)) 2. ==[ alpha ]==> ((((^x.x) b) b)(b c)) 3. ==[ beta ]==> ((b b)(b c)) REDUCED to normal form. ------ 99854/9206616. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a)(^a.a))) 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. ------ 99855/9206643. ------ 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))(^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. ------ 99856/9206652. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a (^z.z)))) REDUCED to normal form. ------ 99857/9206679. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a ((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a ((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 99858/9206697. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c (^y.y))) 3. ==[ beta ]==> (((b a)(b a))(c (^y.y))) 4. ==[ alpha ]==> (((b a)(b a))(c (^x.x))) REDUCED to normal form. ------ 99859/9206760. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c a)) REDUCED to normal form. ------ 99860/9206778. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a 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)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 99861/9206787. ------ 1. ==[ start ]==> (((a b)(^a.b))(b b)) 2. ==[ alpha ]==> (((a b)(^x.b))(b b)) REDUCED to normal form. ------ 99862/9206841. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (a a))) REDUCED to normal form. ------ 99863/9206886. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(b (^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99864/9206895. ------ 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. ------ 99865/9206922. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 99866/9206949. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a b)) REDUCED to normal form. ------ 99867/9206985. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a) 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. ------ 99868/9207011. ------ 1. ==[ start ]==> (^a.((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (^x.((x (^y.y))((^z.z) b))) 3. ==[ beta ]==> (^x.((x (^y.y)) b)) REDUCED to normal form. ------ 99869/9207012. ------ 1. ==[ start ]==> (a ((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (a ((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> (a ((a (^x.x)) b)) REDUCED to normal form. ------ 99870/9214443. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b)) a) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b)) a) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 99871/9214449. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.x)((a (^y.y))((^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. ------ 99872/9214476. ------ 1. ==[ start ]==> ((^a.(a a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 99873/9214539. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 99874/9214701. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (^y.(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> (^x.(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 99875/9214848. ------ 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. ------ 99876/9215199. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 99877/9215268. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 99878/9215394. ------ 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. ------ 99879/9215550. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 99880/9215865. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 99881/9216207. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 99882/9216339. ------ 1. ==[ start ]==> ((^a.(a b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)((^y.y)(^z.z))) b) 4. ==[ alpha ]==> (((a b)((^x.x)(^y.y))) b) 5. ==[ beta ]==> (((a b)(^y.y)) b) 6. ==[ alpha ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 99883/9216522. ------ 1. ==[ start ]==> (((a b) a)(^a.(^b.b))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 99884/9216726. ------ 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. ------ 99885/9217116. ------ 1. ==[ start ]==> (((a b) b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 99886/9218457. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 99887/9218709. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 99888/9218934. ------ 1. ==[ start ]==> (((a a)(b a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(b a))(^x.(a a))) REDUCED to normal form. ------ 99889/9219600. ------ 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. ------ 99890/9219789. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(a x1))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 99891/9219804. ------ 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. ------ 99892/9219987. ------ 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)(^y.y))(^z.(z b))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(y b))) REDUCED to normal form. ------ 99893/9220119. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 99894/9220491. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.a))) REDUCED to normal form. ------ 99895/9220626. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 99896/9220653. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.(^c.a))) 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. ------ 99897/9220932. ------ 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. ------ 99898/9221157. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 99899/9221463. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^x.a)) REDUCED to normal form. ------ 99900/9221544. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.a))) REDUCED to normal form. ------ 99901/9221625. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 99902/9221787. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^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)))) REDUCED to normal form. ------ 99903/9221814. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(a a))) REDUCED to normal form. ------ 99904/9221850. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(x x))) REDUCED to normal form. ------ 99905/9221877. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.z)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 99906/9221889. ------ 1. ==[ start ]==> ((a a)((a (^a.a))((^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. ------ 99907/9221907. ------ 1. ==[ start ]==> (((^a.a) a)(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(b (^y.(a a)))) 3. ==[ beta ]==> (a (b (^y.(a a)))) 4. ==[ alpha ]==> (a (b (^x.(a a)))) REDUCED to normal form. ------ 99908/9221916. ------ 1. ==[ start ]==> ((a (a a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 99909/9221952. ------ 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. ------ 99910/9221979. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(^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. ------ 99911/9221988. ------ 1. ==[ start ]==> (((^a.a) b)((^b.b)(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. ------ 99912/9222015. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 99913/9222033. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 99914/9222060. ------ 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))(^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. ------ 99915/9222096. ------ 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 a)) REDUCED to normal form. ------ 99916/9222114. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(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. ------ 99917/9222123. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 99918/9222141. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 99919/9222177. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 99920/9222222. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 99921/9222249. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.z1))) 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. ------ 99922/9222258. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 99923/9222285. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a a)((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 99924/9222303. ------ 1. ==[ start ]==> (((^a.a)((^a.a) 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. ------ 99925/9222312. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 99926/9222330. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^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. ------ 99927/9222339. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 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. ------ 99928/9222366. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 99929/9222474. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)(^z.b))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 99930/9222582. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 99931/9222609. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 99932/9222636. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(a a))) REDUCED to normal form. ------ 99933/9222681. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(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. ------ 99934/9222708. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 99935/9222726. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((b a)((^x.x) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((b a) a)) REDUCED to normal form. ------ 99936/9222753. ------ 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. ------ 99937/9222780. ------ 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. ------ 99938/9222807. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b)((a a) a))) REDUCED to normal form. ------ 99939/9222834. ------ 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. ------ 99940/9222933. ------ 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. ------ 99941/9222960. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) 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. ------ 99942/9222987. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 99943/9223005. ------ 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. ------ 99944/9223014. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 99945/9223041. ------ 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 (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 99946/9223059. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b a)(^z.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 99947/9223302. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 99948/9223356. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.(^x1.x1))) b)) 5. ==[ beta ]==> (a ((a (^z.(^x1.x1))) b)) 6. ==[ alpha ]==> (a ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 99949/9223473. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 99950/9223527. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))(^b.(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. ------ 99951/9223617. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 99952/9223644. ------ 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))(^z.z))(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. ------ 99953/9223671. ------ 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. ------ 99954/9223698. ------ 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. ------ 99955/9223725. ------ 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)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 99956/9223752. ------ 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. ------ 99957/9223779. ------ 1. ==[ start ]==> ((a (a b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (a b))((a b)(^y.y))) 4. ==[ alpha ]==> ((a (a b))((a b)(^x.x))) REDUCED to normal form. ------ 99958/9223932. ------ 1. ==[ start ]==> ((((a a) a) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 99959/9223959. ------ 1. ==[ start ]==> (((a b) a)(a (^b.b))) 2. ==[ alpha ]==> (((a b) a)(a (^x.x))) REDUCED to normal form. ------ 99960/9223977. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.(^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))) REDUCED to normal form. ------ 99961/9223986. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 99962/9224004. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((b a)(^a.(^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. ------ 99963/9224040. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 99964/9224058. ------ 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. ------ 99965/9224067. ------ 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. ------ 99966/9224094. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 99967/9224139. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 99968/9224148. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 99969/9224166. ------ 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. ------ 99970/9224337. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 99971/9224553. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 99972/9224625. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 99973/9224832. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(b a))) 3. ==[ beta ]==> (((a a)(a a))((a a)(b a))) REDUCED to normal form. ------ 99974/9224985. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 99975/9225084. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((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. ------ 99976/9225228. ------ 1. ==[ start ]==> (((a b) c)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 99977/9225255. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a)(^b.(^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)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 99978/9225282. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 99979/9225336. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 99980/9225363. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 99981/9225462. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 99982/9225561. ------ 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. ------ 99983/9225588. ------ 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) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(a b))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a (a b))) REDUCED to normal form. ------ 99984/9225615. ------ 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.z)(a a)))) 3. ==[ beta ]==> ((a (a b))((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a b))((a (^x.x))(a a))) REDUCED to normal form. ------ 99985/9225642. ------ 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. ------ 99986/9225894. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(^c.(^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. ------ 99987/9225975. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 99988/9226038. ------ 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)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 99989/9226146. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(^c.(^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)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 99990/9226164. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 99991/9226245. ------ 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. ------ 99992/9226371. ------ 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. ------ 99993/9226632. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 99994/9226650. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a b) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a b) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 99995/9227037. ------ 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. ------ 99996/9227064. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(a a))) 5. ==[ beta ]==> ((^y.b)((^z.b)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.b)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 99997/9227109. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.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. ------ 99998/9227118. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 99999/9227145. ------ 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. ------ 100000/9227172. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form.